Abdul-majid Wazwaza. Wazwaz
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Abdul-majid Wazwaza. Wazwazmathematics Degrees
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Abdul-majid Wazwaza. Wazwaz's Degrees
- PhD Mathematics University of Central Florida
- Masters Mathematics University of Central Florida
- Bachelors Mathematics University of Central Florida
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(Suggest an Edit or Addition)Abdul-majid Wazwaza. Wazwaz's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Partial Differential Equations and Solitary Waves Theory (2009) (910)
- A sine-cosine method for handlingnonlinear wave equations (2004) (724)
- Partial differential equations : methods and applications (2002) (648)
- A new algorithm for calculating adomian polynomials for nonlinear operators (2000) (646)
- A reliable modification of Adomian decomposition method (1999) (634)
- The tanh method for traveling wave solutions of nonlinear equations (2004) (494)
- A First Course in Integral Equations (1997) (474)
- A new algorithm for solving differential equations of Lane-Emden type (2001) (383)
- Linear and Nonlinear Integral Equations: Methods and Applications (2011) (375)
- Linear and Nonlinear Integral Equations (2011) (367)
- A new modification of the Adomian decomposition method for linear and nonlinear operators (2001) (323)
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations (2007) (308)
- The tan h method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations (2005) (304)
- Adomian decomposition method for a reliable treatment of the Bratu-type equations (2005) (295)
- A new method for solving singular initial value problems in the second-order ordinary differential equations (2002) (289)
- New solitons and kink solutions for the Gardner equation (2007) (258)
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations (2007) (254)
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method (2007) (243)
- The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations (2005) (232)
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation (2005) (227)
- The extended tanh method for abundant solitary wave solutions of nonlinear wave equations (2007) (227)
- A study on linear and nonlinear Schrodinger equations by the variational iteration method (2008) (218)
- A comparison between the variational iteration method and Adomian decomposition method (2007) (212)
- The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations (2010) (205)
- An analytic study of Fisher's equation by using Adomian decomposition method (2004) (204)
- New solitary-wave special solutions with compact support for the nonlinear dispersive K(m, n) equations (2002) (204)
- Approximate solutions to boundary value problems of higher order by the modified decomposition method (2000) (197)
- THE TANH AND THE SINE–COSINE METHODS FOR A RELIABLE TREATMENT OF THE MODIFIED EQUAL WIDTH EQUATION AND ITS VARIANTS (2006) (197)
- The sine-cosine method for obtaining solutions with compact and noncompact structures (2004) (190)
- The modified decomposition method for analytic treatment of differential equations (2006) (190)
- Analytical approximations and Padé approximants for Volterra's population model (1999) (189)
- The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation (1999) (181)
- The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations (2007) (179)
- A review of the Adomian decomposition method and its applications to fractional differential equations (2012) (175)
- Multiple-soliton solutions for the Boussinesq equation (2007) (163)
- Neuro-heuristics for nonlinear singular Thomas-Fermi systems (2018) (160)
- The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations (2005) (160)
- The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation (2005) (159)
- Nonlinear Partial Differential Equations (2009) (158)
- The extended tanh method for the Zakharov–Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms (2008) (157)
- Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method (2001) (155)
- A comparison between Adomian decomposition method and Taylor series method in the series solutions (1998) (154)
- The numerical solution of sixth-order boundary value problems by the modified decomposition method (2001) (153)
- A new integrable ($$3+1$$3+1)-dimensional KdV-like model with its multiple-soliton solutions (2016) (151)
- New travelling wave solutions to the Boussinesq and the Klein–Gordon equations (2008) (151)
- The variational iteration method for solving linear and nonlinear systems of PDEs (2007) (150)
- Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations (2008) (146)
- Exact special solutions with solitary patterns for the nonlinear dispersive K(m,n) equations (2002) (145)
- The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model (2000) (145)
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves (2008) (144)
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations (2007) (141)
- The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations (2008) (140)
- Solving the $$\mathbf{(3+1) }$$(3+1)-dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method (2017) (139)
- Solitary wave solutions for modified forms of Degasperis Procesi and Camassa Holm equations (2006) (137)
- BRIGHT AND DARK SOLITON SOLUTIONS FOR A K (M, N) EQUATION WITH T-DEPENDENT COEFFICIENTS (2009) (136)
- The numerical solution of fifth-order boundary value problemsby the decomposition method (2001) (134)
- Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method (2005) (133)
- Exact solutions for heat-like and wave-like equations with variable coefficients (2004) (132)
- The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation (2008) (130)
- Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities (2016) (128)
- A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation (2001) (125)
- An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients (2018) (124)
- New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations (2007) (123)
- Compactons, solitons and periodic solutions for some forms of nonlinear Klein–Gordon equations (2006) (120)
- Multiple-soliton solutions for extended (3+1)-dimensional Jimbo-Miwa equations (2017) (118)
- A reliable treatment for mixed Volterra-Fredholm integral equations (2002) (117)
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method (2001) (117)
- Necessary conditions for the appearance of noise terms in decomposition solutions series (1997) (116)
- A reliable algorithm for solving boundary value problems for higher-order integro-differential equations (2001) (113)
- A new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation (2016) (113)
- The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations (2007) (113)
- Two reliable methods for solving variants of the KdV equation with compact and noncompact structures (2006) (113)
- Nature-inspired computing approach for solving non-linear singular Emden–Fowler problem arising in electromagnetic theory (2015) (110)
- The variational iteration method for solving two forms of Blasius equation on a half-infinite domain (2007) (109)
- A general bilinear form to generate different wave structures of solitons for a (3+1)‐dimensional Boiti‐Leon‐Manna‐Pempinelli equation (2019) (109)
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support (2001) (108)
- The tanh method for travelling wave solutions to the Zhiber–Shabat equation and other related equations (2008) (105)
- Exact solutions with solitons and periodic structures for the Zakharov–Kuznetsov (ZK) equation and its modified form (2005) (105)
- Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions (2013) (103)
- Multiple-soliton solutions for a (3 + 1)-dimensional generalized KP equation (2012) (103)
- The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations (2007) (101)
- Solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method (2013) (101)
- Analytic treatment for variable coefficient fourth-order parabolic partial differential equations (2001) (100)
- New (3$$\varvec{+}$$+1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions (2017) (99)
- Distinct variants of the KdV equation with compact and noncompact structures (2004) (99)
- The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models (2011) (98)
- Compactons dispersive structures for variants of the K(n,n) and the KP equations (2002) (97)
- Compactons and solitary patterns structures for variants of the KdV and the KP equations (2003) (97)
- The variational iteration method for analytic treatment for linear and nonlinear ODEs (2009) (97)
- Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations (2008) (96)
- Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method (2005) (96)
- Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations (2005) (95)
- Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations (2016) (95)
- Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist (2017) (95)
- New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations (2006) (94)
- A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems (2001) (94)
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation (2007) (93)
- Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation (2008) (92)
- The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method (2000) (90)
- The tanh method and the sine–cosine method for solving the KP-MEW equation (2005) (90)
- Solitons and singular solitons for the Gardner-KP equation (2008) (90)
- New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions (2021) (89)
- Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations (2018) (89)
- The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain (2006) (85)
- The tanh and the sine-cosine methods for the complex modified K dV and the generalized K dV equations (2005) (85)
- A variety of nonautonomous complex wave solutions for the (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients in nonlinear optical fibers (2019) (84)
- General compactons solutions for the focusing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces (2002) (83)
- Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method (2020) (81)
- New solitons and periodic wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation (2016) (79)
- General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces (2002) (79)
- New solutions of distinct physical structures to high-dimensional nonlinear evolution equations (2008) (78)
- Nonlinear variants of the BBM equation with compact and noncompact physical structures (2005) (78)
- Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation (2017) (77)
- A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions (2013) (77)
- Exact solutions to nonlinear diffusion equations obtained by the decomposition method (2001) (77)
- Bright – dark optical solitons for Schrödinger-Hirota equation with variable coefficients (2019) (77)
- Stochastic numerical solver for nanofluidic problems containing multi-walled carbon nanotubes (2016) (77)
- New solitary wave solutions to the modified Kawahara equation (2007) (77)
- Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation (2018) (77)
- Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations (2006) (76)
- The tanh–coth and the sech methods for exact solutions of the Jaulent–Miodek equation (2007) (75)
- Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation (2009) (75)
- Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method (2006) (75)
- Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity (2006) (75)
- The variational iteration method for exact solutions of Laplace equation (2007) (75)
- Combined optical solitary waves of the Fokas—Lenells equation (2017) (74)
- Abundant complex wave solutions for the nonautonomous Fokas–Lenells equation in presence of perturbation terms (2019) (74)
- Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and Exp-function method (2008) (73)
- Multiple-soliton solutions for the Lax-Kadomtsev-Petviashvili (Lax-KP) equation (2008) (73)
- Exact solutions for the fourth order nonlinear Schrodinger equations with cubic and power law nonlinearities (2006) (72)
- A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations (2006) (72)
- New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions (2019) (71)
- Solving the (3+1)-dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method (2017) (71)
- Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds (2011) (70)
- Variants of the generalized KdV equation with compact and noncompact structures (2004) (70)
- Compact and noncompact physical structures for the ZK-BBM equation (2005) (70)
- The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations (2008) (69)
- Exact solutions of compact and noncompact structures for the KP-BBM equation (2005) (69)
- A two-mode modified KdV equation with multiple soliton solutions (2017) (68)
- The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation (2008) (68)
- The Modified Adomian Decomposition Method for Solving Linear and Nonlinear Boundary Value Problems of Tenth-order and Twelfth-order (2000) (67)
- Compactons in a class of nonlinear dispersive equations (2003) (66)
- Solution of the model of beam-type micro- and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems (2013) (66)
- Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations (2010) (66)
- Lie symmetry analysis, exact analytical solutions and dynamics of solitons for (2 + 1)-dimensional NNV equations (2020) (66)
- The decomposition method for approximate solution of the Goursat problem (1995) (65)
- Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium (2018) (65)
- Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions (2018) (64)
- A new generalized fifth-order nonlinear integrable equation (2011) (64)
- Exact and explicit travelling wave solutions for the nonlinear Drinfeld–Sokolov system (2006) (63)
- Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine-Gordon equation (2018) (63)
- Multiple-soliton solutions of two extended model equations for shallow water waves (2008) (63)
- New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations (2008) (62)
- Partial Differential Equations (2002) (62)
- New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method (2020) (62)
- Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber (2019) (60)
- The modified decomposition method applied to unsteady flow of gas through a porous medium (2001) (60)
- A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions (2005) (60)
- Multiple soliton solutions for the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation (2010) (60)
- Lump, breather and solitary wave solutions to new reduced form of the generalized BKP equation (2019) (59)
- General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation (2018) (59)
- A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves (2021) (59)
- Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method (2006) (59)
- The variational iteration method for solving linear and nonlinear ODEs and scientific models with variable coefficients (2014) (58)
- The tanh method and a variable separated ODE method for solving double sine-Gordon equation (2006) (57)
- The tanh-coth method for new compactons and solitons solutions for the K(n, n) and the K(n+1, n+1) equations (2007) (56)
- An analytic study of compactons structures in a class of nonlinear dispersive equations (2003) (56)
- Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion (2017) (56)
- New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations (2004) (56)
- Multiple soliton solutions and other exact solutions for a two‐mode KdV equation (2016) (56)
- Two B-type Kadomtsev–Petviashvili equations of (2 + 1) and (3 + 1) dimensions: Multiple soliton solutions, rational solutions and periodic solutions (2013) (56)
- Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions (2012) (55)
- An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems (2016) (55)
- A reliable technique for solving the wave equation in an infinite one-dimensional medium (1998) (55)
- A new numerical approach to solve Thomas–Fermi model of an atom using bio-inspired heuristics integrated with sequential quadratic programming (2016) (54)
- Painlevé analysis for a new integrable equation combining the modified Calogero–Bogoyavlenskii–Schiff (MCBS) equation with its negative-order form (2018) (54)
- Exact Soliton and Kink Solutions for New (3+1)-Dimensional Nonlinear Modified Equations of Wave Propagation (2017) (53)
- New (3+1)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: Multiple soliton solutions (2015) (53)
- Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation (2008) (52)
- N-soliton solutions for the Vakhnenko equation and its generalized forms (2010) (52)
- A new fifth-order nonlinear integrable equation: multiple soliton solutions (2011) (52)
- Optical solitons for nonlinear Schrödinger (NLS) equation in normal dispersive regimes (2019) (52)
- Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent–Miodek hierarchy (2009) (52)
- Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers-type equations (2009) (52)
- Multiple soliton solutions for (2 + 1)‐dimensional Sawada–Kotera and Caudrey–Dodd–Gibbon equations (2011) (52)
- The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions (2005) (52)
- A study on the systems of the Volterra integral forms of the Lane–Emden equations by the Adomian decomposition method (2014) (51)
- The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions (2010) (51)
- Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations (2008) (51)
- Bright and dark optical solitons for (2+1)-dimensional Schrödinger (NLS) equations in the anomalous dispersion regimes and the normal dispersive regimes (2019) (51)
- The sine-cosine and the tanh methods: Reliable tools for analytic treatment of nonlinear dispersive equations (2006) (51)
- The existence of noise terms for systems of inhomogeneous differential and integral equations (2003) (50)
- Neuro-heuristic computational intelligence for solving nonlinear pantograph systems (2017) (49)
- A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions (2021) (49)
- Group invariant solutions of (3+1)-dimensional generalized B-type Kadomstsev Petviashvili equation using optimal system of Lie subalgebra (2019) (48)
- Solitons and periodic solutions for the fifth-order KdV equation (2006) (48)
- Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients (2010) (48)
- Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods (2005) (47)
- The Combined Laplace-Adomian Method for Handling Singular Integral Equation of Heat Transfer (2010) (47)
- Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation (2003) (47)
- New travelling wave solutions of different physical structures to generalized BBM equation (2006) (47)
- An analytic study on the third-order dispersive partial differential equations (2003) (46)
- Solving the non-isothermal reaction-diffusion model equations in a spherical catalyst by the variational iteration method (2017) (46)
- Analytic study on nonlinear variants of the RLW and the PHI-four equations (2007) (46)
- The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions (2008) (46)
- Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equations (2008) (45)
- Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients (2011) (45)
- The regularization method for Fredholm integral equations of the first kind (2011) (45)
- A study on a two‐wave mode Kadomtsev–Petviashvili equation: conditions for multiple soliton solutions to exist (2017) (44)
- Characteristics of integrability, bidirectional solitons and localized solutions for a ($$3+1$$3+1)-dimensional generalized breaking soliton equation (2019) (44)
- New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko-Dubrovsky equation (2007) (44)
- Two wave mode higher-order modified KdV equations: Essential conditions for multiple soliton solutions to exist (2017) (44)
- A study on KdV and Gardner equations with time-dependent coefficients and forcing terms (2010) (43)
- An extended modified KdV equation and its Painlevé integrability (2016) (43)
- New solitary wave and periodic wave solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system (2007) (43)
- A study on nonlinear dispersive partial differential equations of compact and noncompact solutions (2003) (43)
- A new approach to the nonlinear advection problem: an application of the decomposition method (1995) (43)
- Nonlinear variants of the improved Boussinesq equation with compact and noncompact structures (2005) (43)
- A reliable modi ® cation of Adomian decomposition method (1999) (43)
- Multiple soliton solutions and multiple singular soliton solutions for (2 + 1)-dimensional shallow water wave equations (2009) (42)
- A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation (2013) (42)
- New types of chirped soliton solutions for the Fokas–Lenells equation (2017) (42)
- Solitons and singular solitons for a variety of Boussinesq-like equations (2012) (42)
- Multiple soliton solutions for a (2 + 1)-dimensional integrable KdV6 equation (2010) (42)
- Kadomtsev-Petviashvili hierarchy: N-soliton solutions and distinct dispersion relations (2016) (41)
- The integrable Vakhnenko–Parkes (VP) and the modified Vakhnenko–Parkes (MVP) equations: Multiple real and complex soliton solutions (2019) (41)
- Multiple-soliton solutions for the fifth order Caudrey-Dodd-Gibbon (CDG) equation (2008) (41)
- Traveling wave solutions of a (2 + 1)-dimensional Zakharov-like equation by the first integral method and the tanh method (2016) (40)
- Two new Painlevé-integrable (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients (2020) (40)
- The tanh method for compact and noncompact solutions for variants of the KdV-Burger and the K(n,n)-Burger equations (2006) (40)
- Two methods for solving integral equations (1996) (40)
- A study on a boundary-layer equation arising in an incompressible fluid (1997) (40)
- Interaction of lumps and dark solitons in the Mel’nikov equation (2018) (40)
- Optical Gaussons for nonlinear logarithmic Schrödinger equations via the variational iteration method (2019) (39)
- Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation (2011) (39)
- Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method (2015) (39)
- Combined equations of the Burgers hierarchy: multiple kink solutions and multiple singular kink solutions (2010) (39)
- Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations (2019) (39)
- Multiple kink solutions for two coupled integrable (2+1)-dimensional systems (2016) (39)
- Optical bright and dark soliton solutions for coupled nonlinear Schrödinger (CNLS) equations by the variational iteration method (2020) (38)
- Transformation of soliton states for a (2+1) dimensional fourth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain (2019) (38)
- A reliable technique for solving the weakly singular second-kind Volterra-type integral equations (1996) (38)
- Einstein's vacuum field equation: Painlevé analysis and Lie symmetries (2019) (38)
- Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation (2015) (37)
- On the solution of the fourth order parabolic equation by the decomposition method (1995) (37)
- Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions (2001) (37)
- Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients (2020) (37)
- Negative-order integrable modified KdV equations of higher orders (2018) (36)
- Compact and noncompact structures in a class of nonlinearly dispersive equations (2003) (36)
- Integrability aspects and localized wave solutions for a new $$\mathbf (4+1) $$-dimensional Boiti–Leon–Manna–Pempinelli equation (2019) (36)
- Some applications of the (G'/G, 1/G)-expansion method to find new exact solutions of NLEEs (2017) (35)
- A new (2+1)-dimensional Korteweg–de Vries equation and its extension to a new (3+1)-dimensional Kadomtsev–Petviashvili equation (2011) (35)
- Negative‐order modified KdV equations: multiple soliton and multiple singular soliton solutions (2016) (35)
- Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion (2020) (35)
- Multiple complex soliton solutions for the integrable KdV, fifth-order Lax, modified KdV, Burgers, and Sharma–Tasso–Olver equations (2019) (35)
- Multiple-soliton solutions for coupled KdV and coupled KP systems (2009) (35)
- Optical solitons for perturbed Gerdjikov–Ivanov equation (2018) (35)
- Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations (2008) (35)
- Multiple complex and multiple real soliton solutions for the integrable sine-Gordon equation (2018) (34)
- The integrable time-dependent sine-Gordon equation with multiple optical kink solutions (2019) (34)
- The variational iteration method for solving systems of equations of Emden–Fowler type (2011) (34)
- Painlevé analysis for Boiti–Leon–Manna–Pempinelli equation of higher dimensions with time-dependent coefficients: Multiple soliton solutions (2020) (34)
- The variational iteration method: Reliable, efficient, and promising (2007) (34)
- Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients (2014) (34)
- Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term (2011) (34)
- Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin Bona Mahony equation (2005) (34)
- Optical envelope soliton solutions for coupled nonlinear Schrödinger equations applicable to high birefringence fibers (2022) (33)
- A variety of optical solitons for nonlinear Schrödinger equation with detuning term by the variational iteration method (2019) (33)
- A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation (2010) (33)
- Existence and construction of compacton solutions (2004) (33)
- The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation (2009) (33)
- Solving Two Emden–Fowler Type Equations of Third Order by the Variational Iteration Method (2015) (33)
- The simplified Hirota’s method for studying three extended higher-order KdV-type equations (2016) (33)
- A (3 + 1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions (2009) (33)
- Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants (2006) (33)
- Bright and dark optical solitons for (3+1)-dimensional Schrödinger equation with cubic–quintic-septic nonlinearities (2021) (33)
- A reliable study for extensions of the Bratu problem with boundary conditions (2012) (33)
- The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations (2006) (33)
- Preface: Variational iteration method-Reality, potential, and challenges (2007) (33)
- Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities (2007) (32)
- Variants of the two-dimensional boussinesq equation with compactons, solitons, and periodic solutions (2005) (32)
- Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation (2019) (32)
- A reliable treatment of the physical structure for the nonlinear equation K(m, n) (2005) (32)
- A (2+1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation: Painlevé integrability and multiple soliton solutions (2020) (32)
- Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method (2006) (32)
- Novel bifurcation solitons for an extended Kadomtsev–Petviashvili equation in fluids (2021) (32)
- Solitary waves solutions for extended forms of quantum Zakharov–Kuznetsov equations (2012) (32)
- An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models (2016) (32)
- A reliable algorithm for positive solutions of nonlinear boundary value problems by the multistage Adomian decomposition method (2014) (31)
- Two-mode Sharma-Tasso-Olver equation and two-mode fourth-order Burgers equation: Multiple kink solutions (2017) (31)
- A reliable treatment of singular Emden-Fowler initial value problems and boundary value problems (2011) (31)
- A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations (2013) (31)
- Bright and dark optical solitons of the (2+1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers (2022) (31)
- On the nonlinear dynamics of breathers waves in electronegative plasmas with Maxwellian negative ions (2017) (30)
- Nonlinear dispersive special type of the Zakharov-Kuznetsov equation ZK(n, n) with compact and noncompact structures (2005) (30)
- An advanced study on the solution of nanofluid flow problems via Adomian's method (2015) (30)
- NEW (3+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS WITH BURGERS AND SHARMA-TASSO-OLVER EQUATIONS CONSTITUTING THE MAIN PARTS (2015) (30)
- A NOTE ON USING ADOMIAN DECOMPOSITION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS (2000) (30)
- Multiple soliton solutions and multiple singular soliton solutions for the (3 + 1)-dimensional Burgers equations (2008) (30)
- New compact and noncompact solutions for two variants of a modified Camassa-Holm equation (2005) (30)
- Solitons collision and freak waves in a plasma with Cairns-Tsallis particle distributions (2015) (30)
- The variational iteration method for a reliable treatment of the linear and the nonlinear Goursat problem (2007) (29)
- New extended rational trigonometric methods and applications (2018) (29)
- The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations (2005) (29)
- Conformable space-time fractional nonlinear (1+1)-dimensional Schrödinger-type models and their traveling wave solutions (2021) (29)
- Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method (2017) (29)
- Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations (2022) (29)
- New (3 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlevé integrability (2020) (28)
- Solving New Fourth–Order Emden–Fowler-Type Equations by the Adomian Decomposition Method (2015) (28)
- On the nonlocal Boussinesq equation: Multiple-soliton solutions (2013) (28)
- Multiple soliton solutions and rational solutions for the (2+1)-dimensional dispersive long water–wave system (2013) (28)
- A Two-Mode Burgers Equation of Weak Shock Waves in a Fluid: Multiple Kink Solutions and Other Exact Solutions (2017) (28)
- Completely integrable coupled KdV and coupled KP systems (2010) (28)
- A comparison of modified runge-kutta formulas based on a variety of means (1994) (28)
- A variety of multiple-soliton solutions for the integrable (4+1)-dimensional Fokas equation (2018) (28)
- Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions (2005) (27)
- A modified third order Runge-Kutta method (1990) (27)
- A study on a (2+1)-dimensional and a (3+1)-dimensional generalized Burgers equation (2014) (27)
- New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion (2021) (27)
- Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes (2006) (27)
- A KdV6 hierarchy: Integrable members with distinct dispersion relations (2015) (27)
- Generalized forms of the phi-four equation with compactons, solitons and periodic solutions (2005) (27)
- Modified Kadomtsev–Petviashvili Equation in (3+1) Dimensions: Multiple Front-Wave Solutions (2015) (27)
- Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method (2006) (26)
- Multiple-Soliton Solutions for Extended Shallow Water Wave Equations (2010) (26)
- Optical solitons and Peregrine solitons for nonlinear Schrödinger equation by variational iteration method (2019) (26)
- On soliton solutions for the Fitzhugh–Nagumo equation with time-dependent coefficients (2013) (26)
- N-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation (2008) (26)
- Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid (2020) (26)
- Distinct kinds of multiple-soliton solutions for a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation (2011) (26)
- MULTIPLE KINK SOLUTIONS FOR THE (2+1)-DIMENSIONAL INTEGRABLE GARDNER EQUATION (2014) (26)
- Compacton solutions of the Kawahara-type nonlinear dispersive equation (2003) (25)
- Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces (2002) (25)
- Trial equation method for solving the generalized Fisher equation with variable coefficients (2016) (25)
- The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations (2010) (25)
- A construction of compact and noncompact solutions for nonlinear dispersive equations of even order (2003) (25)
- Kink solutions for three new fifth order nonlinear equations (2014) (25)
- N-soliton solutions for shallow water waves equations in (1 + 1) and (2 + 1) dimensions (2011) (25)
- Lie symmetries, optimal system and dynamics of exact solutions of (2+1)-dimensional KP-BBM equation (2020) (25)
- Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants (2019) (24)
- A new nonlinear integrable fifth-order equation: multiple soliton solutions with unusual phase shifts (2018) (24)
- Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions (2004) (24)
- Gaussian solitary waves for the logarithmic-KdV and the logarithmic-KP equations (2014) (24)
- High-order breathers, lumps, and semi-rational solutions to the (2 + 1)-dimensional Hirota–Satsuma–Ito equation (2019) (24)
- The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method (2021) (24)
- Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations (2009) (24)
- Gaussons: Solitons of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations (2016) (24)
- MULTIPLE SOLITON SOLUTIONS FOR TWO INTEGRABLE COUPLINGS OF THE MODIFIED KORTEWEG-DE VRIES EQUATION (2013) (24)
- The variational iteration method for solving the Volterra integro-differential forms of the Lane–Emden equations of the first and the second kind (2014) (23)
- A Variety of Soliton Solutions for the Boussinesq-Burgers Equation and the Higher-Order Boussinesq-Burgers Equation (2017) (23)
- Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation (2021) (23)
- A study on the (2+1)-dimensional and the (2+1)-dimensional higher-order Burgers equations (2012) (23)
- On short-range pulse propagation described by (2 + 1)-dimensional Schrödinger's hyperbolic equation in nonlinear optical fibers (2020) (23)
- Exact wave solutions for the nonlinear time fractional Sharma–Tasso–Olver equation and the fractional Klein–Gordon equation in mathematical physics (2017) (23)
- Compactons and solitary wave solutions for the Boussinesq wave equation and its generalized form (2006) (23)
- Group invariant solutions of (2+1)-dimensional rdDym equation using optimal system of Lie subalgebra (2019) (23)
- A one-soliton solution of the ZK(m,n,k) equation with generalized evolution and time-dependent coefficients (2011) (22)
- A modified KdV-type equation that admits a variety of travelling wave solutions: kinks, solitons, peakons and cuspons (2012) (22)
- Design of neuro-evolutionary model for solving nonlinear singularly perturbed boundary value problems (2018) (22)
- Soliton solutions for two (3+1) -dimensional non-integrable KdV-type equations (2012) (22)
- Lump, multi-lump, cross kinky-lump and manifold periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation (2020) (22)
- Bright, dark and Gaussons optical solutions for fourth-order Schrödinger equations with cubic–quintic and logarithmic nonlinearities (2020) (22)
- The generalized KaupߝBoussinesq equation: multiple soliton solutions (2015) (21)
- Closed form solutions of complex wave equations via the modified simple equation method (2017) (21)
- Kinks and travelling wave solutions for Burgers-like equations (2014) (21)
- On the modified Gardner type equation and its time fractional form (2022) (21)
- A modified homotopy perturbation method for singular time dependent Emden–Fowler equations with boundary conditions (2016) (21)
- Optical soliton solutions of variable coefficient Biswas-Milovic (BM) model comprising Kerr law and damping effect (2022) (21)
- Variants of the generalized fifth-order KdV equation with compact and noncompact structures (2004) (21)
- Bright and dark optical solitons for a new (3+1)-dimensional nonlinear Schrödinger equation (2021) (21)
- Higher-order Sasa–Satsuma equation: Bright and dark optical solitons (2021) (21)
- Anatomy of modified Korteweg–de Vries equation for studying the modulated envelope structures in non-Maxwellian dusty plasmas: Freak waves and dark soliton collisions (2018) (21)
- Explicit travelling wave solutions of variants of the K(n, n) and the ZK(n, n) equations with compact and noncompact structures (2006) (21)
- New (3+1)‐dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions (2016) (21)
- On the Solution of Non-Isothermal Reaction-Diffusion Model Equations in a Spherical Catalyst by the Modified Adomian Method (2015) (20)
- Painlevé analysis for new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations with constant and time-dependent coefficients (2019) (20)
- Abundant soliton and periodic wave solutions for the coupled Higgs field equation, the Maccari system and the Hirota–Maccari system (2012) (20)
- Variants of a (3+1)-dimensional generalized BKP equation: Multiple-front waves solutions (2014) (20)
- Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation (2008) (20)
- General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations mK(n, n) in higher dimensional spaces (2002) (20)
- Explicit and implicit solutions for the one-dimensional cubic and quintic complex Ginzburg-Landau equations (2006) (20)
- CONSTRUCTION OF SOLITARY WAVE SOLUTION AND RATIONAL SOLUTIONS FOR THE KDV EQUATION BY ADM (2001) (20)
- Multiple soliton solutions for an integrable couplings of the Boussinesq equation (2013) (20)
- Bright solitons of the variants of the Novikov–Veselov equation with constant and variable coefficients (2013) (20)
- N-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation (2010) (19)
- Compactons, solitons and periodic solutions for variants of the KdV and the KP equations (2005) (19)
- One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions (2012) (19)
- The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions (2003) (19)
- (2 + 1)-Dimensional Burgers equations BE(m + n + 1): Using the recursion operator (2013) (19)
- Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions (2016) (19)
- Equality of partial solutions in the decomposition method for partial differential equations (1997) (19)
- Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation (2010) (19)
- A study on two extensions of the Bogoyavlenskii–Schieff equation (2012) (19)
- Bright and dark optical solitons for (3 + 1)- dimensional hyperbolic nonlinear Schrödinger equation using a variety of distinct schemes (2022) (19)
- The modified Adomian decomposition method and the noise terms phenomenon for solving nonlinear weakly-singular Volterra and Fredholm integral equations (2013) (18)
- Non-integrable variants of Boussinesq equation with two solitons (2010) (18)
- Some optical soliton solutions of space-time conformable fractional Schrödinger-type models (2021) (18)
- Higher dimensional nonlinear Schrödinger equations in anomalous dispersion and normal dispersive regimes: Bright and dark optical solitons (2020) (18)
- A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions (2018) (18)
- Soliton solutions for the fifth-order KdV equation and the Kawahara equation with time-dependent coefficients (2010) (18)
- On the Adomian decomposition method for solving the Stefan problem (2015) (18)
- A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions (2017) (18)
- New (3+1)-dimensional nonlinear evolution equation: multiple soliton solutions (2014) (18)
- A study on the (2 + 1)‐dimensional KdV4 equation derived by using the KdV recursion operator (2013) (18)
- Generalized Boussinesq type of equations with compactons, solitons and periodic solutions (2005) (17)
- Integrability of coupled KdV equations (2011) (17)
- A new integrable nonlocal modified KdV equation: Abundant solutions with distinct physical structures (2017) (17)
- New integrable (2+1)-dimensional sine-Gordon equations with constant and time-dependent coefficients: Multiple optical kink wave solutions (2020) (17)
- Gaussian soliton solutions to a variety of nonlinear logarithmic Schrödinger equation (2016) (17)
- (2 + 1)-dimensional Korteweg–de Vries (N) equations derived by using the Korteweg–de Vries recursion operator (2012) (17)
- The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel (1996) (17)
- Solitary Waves Theory (2009) (17)
- The tanh method for a reliable treatment of the K(n, n) and the KP(n, n) equations and its variants (2005) (17)
- A new integrable equation that combines the KdV equation with the negative‐order KdV equation (2018) (17)
- Some new integrable systems of two-component fifth-order equations (2016) (17)
- A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials (2017) (16)
- New higher-dimensional fifth-order nonlinear equations with multiple soliton solutions (2011) (16)
- Extended KP equations and extended system of KP equations: multiple-soliton solutions (2011) (16)
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- Soliton solutions of the dispersive sine-Gordon and the dispersive sinh-Gordon equations with fourth spatial or spatio-temporal derivatives (2011) (15)
- Envelope solitons for generalized forms of the phi-four equation (2013) (15)
- A First Course In Integral Equations: Solutions Manual (2015) (15)
- The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients (2000) (15)
- Multiple and exact soliton solutions of the perturbed Korteweg-de Vries equation of long surface waves in a convective fluid via Painlevé analysis, factorization, and simplest equation methods. (2017) (15)
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- Two new integrable Kadomtsev–Petviashvili equations with time-dependent coefficients: multiple real and complex soliton solutions (2018) (10)
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- Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions (2019) (10)
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- Four (2 + 1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions (2009) (9)
- Two turning points of second order (1990) (9)
- A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics (2014) (9)
- Numerical solutions of fourth-order Volterra integro-differential equations by the Green’s function and decomposition method (2016) (9)
- New exact solutions to extended (3 + 1)‐dimensional Jimbo‐Miwa equations by using bilinear forms (2018) (9)
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- Multiple Complex Soliton Solutions for the Integrable Sinh-Gordon and the Modified KdV-Sinh-Gordon Equation (2018) (8)
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- Erratum to: "Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation" [Appl. Math. Comput. 203 (2008) 277-283] (2008) (8)
- Singular boundary resonance with turning point resonance (1986) (8)
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- Symmetry and Painlevé analysis for the extended Sakovich equation (2020) (7)
- Adomian decomposition method for modelling the dissipative higher-order rogue waves in a superthermal collisional plasma (2021) (7)
- The variational iteration method for solving the Volterra integro-differential forms of the Lane-Emden and the Emden-Fowler problems with initial and boundary value conditions (2015) (7)
- ON THE DYNAMICS OF DUST-ACOUSTIC AND DUST-CYCLOTRON FREAK WAVES IN A MAGNETIZED DUSTY PLASMA (2018) (7)
- Investigation of ion - acoustic wave dynamics in unmagnetized grain plasmas (2020) (7)
- A variety of exact wave solutions with distinct physical structures for the Boussinesq system (2006) (7)
- On the numerical solution of by a class of nonlinear trapezoidal formulas (1994) (7)
- Lie symmetry analysis and soliton solutions for complex short pulse equation (2020) (7)
- Solitons and Periodic Wave Solutions for Coupled Nonlinear Equations (2012) (7)
- Numerical Solution of the Time Dependent Emden-Fowler Equations with Boundary Conditions using Modified Decomposition Method (2016) (7)
- Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law (2010) (7)
- Closed form traveling wave solutions of non-linear fractional evolution equations through the modified simple equation method (2018) (7)
- A variational approach for a class of nonlocal elliptic boundary value problems (2014) (7)
- Compact structures for variants of the generalized KdV and the generalized KP equations (2004) (7)
- Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model (2013) (7)
- A reliable iterative method for solving the time-dependent singular Emden-Fowler equations (2013) (7)
- New integrable Vakhnenko–Parkes (VP) equations with time-dependent coefficients (2019) (7)
- Exponential time differencing method for modeling the dissipative rouge waves and breathers in a collisional plasma (2021) (7)
- Painlevé analysis for three integrable shallow water waves equations with time-dependent coefficients (2019) (6)
- A new (3 + 1)-dimensional Painlevé-integrable Sakovich equation: multiple soliton solutions (2021) (6)
- Two Kinds of Multiple Wave Solutions for the Potential YTSF Equation and a Potential YTSF-Type Equation (2012) (6)
- Nonlinear Volterra Integro-Differential Equations (2011) (6)
- New approximate solutions of the Blasius equation (2015) (6)
- DYNAMICS OF FUSION AND FISSION COLLISIONS BETWEEN LUMPS AND LINE SOLITONS IN THE MACCARI’S SYSTEM (2019) (6)
- Nonlinear Volterra Integral Equations (2011) (6)
- Gaussian solitary waves for the logarithmic-BBM and the logarithmic-TRLW equations (2015) (6)
- Some classification of non-commutative Integrable Systems (2017) (6)
- MULTIPLE SOLITON SOLUTIONS FOR THREE SYSTEMS OF BROER–KAUP–KUPERSHMIDT EQUATIONS DESCRIBING NONLINEAR AND DISPERSIVE LONG GRAVITY WAVES (2012) (6)
- Applications of Integral Equations (2011) (6)
- EXACT SOLUTIONS OF THE GENERALIZED POCHHAMMER-CHREE EQUATION WITH SIXTH-ORDER DISPERSION (2015) (6)
- The collision dynamics between double-hump solitons in two mode optical fibers (2021) (6)
- Compacton solutions and nonlinear dispersion (2003) (6)
- Solitary Wave Solutions for a K(m,n,p,q+r) Equation with Generalized Evolution (2011) (6)
- Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions (2022) (6)
- Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations (2006) (6)
- A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules (2022) (6)
- Abundant Solutions of Distinct Physical Structures for Three Shallow Water Waves Models (2017) (5)
- One and two soliton solutions for seventh-order Caudrey-Dodd-Gibbon and Caudrey-Dodd-Gibbon-KP equations (2012) (5)
- Multiple-kink solutions for the (3+1)-dimensional Burgers hierarchy (2011) (5)
- Perturbation, symmetry analysis, Bäcklund and reciprocal transformation for the extended Boussinesq equation in fluid mechanics (2021) (5)
- A coupled Ramani equation: multiple soliton solutions (2014) (5)
- Singular and turning point resonance: small perturbations - big effects (1988) (5)
- Numerical investigation of three-dimensional nanofluid flow with heat and mass transfer on a nonlinearly stretching sheet using the barycentric functions (2020) (5)
- Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations (2006) (5)
- Multiple Kink Solutions for the (2+1)-dimensional Sharma--Tasso--Olver and the Sharma--Tasso--Olver--Burgers Equations (2013) (5)
- Construction of exact solutions in a magneto-electro-elastic circular rod (2018) (5)
- Volterra-Fredholm Integro-Differential Equations (2011) (5)
- Multiple kink solutions for M-component Burgers equations in (1+1)-dimensions and (2+1)-dimensions (2010) (5)
- Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation (2021) (5)
- A comparative study on a singular perturbation problem with two singular boundary points (1999) (5)
- Fredholm Integral Equations (2021) (5)
- Plasma-waves evolution and propagation modeled by sixth order Ramani and coupled Ramani equations using symmetry methods (2021) (5)
- New soliton and periodic solutions for the fifth-order forms of the Lax and Sawada–Kotera equations (2007) (4)
- Analytical approximations of three-point generalized Thomas–Fermi and Lane–Emden–Fowler type equations (2021) (4)
- ON SOLITON DYNAMICS OF THE GENERALIZED FISHER EQUATION WITH TIME-DEPENDENT COEFFICIENTS (2015) (4)
- Nonlinear Singular Integral Equations (2011) (4)
- Multiple optical kink solutions for new Painlevé integrable (3+1)-dimensional sine-Gordon equations with constant and time-dependent coefficients (2020) (4)
- The generation mechanism of multiple-pole solutions for the fifth-order mKdV equation (2022) (4)
- A seventh-order member of KdV6 hierarchy and its (2+1)-dimensional extensions (2016) (4)
- Travelling Wave Solutions to (2+1)-Dimensional Nonlinear Evolution Equations (2011) (4)
- The singular manifold method for a class of fractional-order diffusion equations (2022) (4)
- Solving the Two-Dimensional Lane-Emden Type Equations by the Adomian Decomposition Method (2016) (4)
- Asymptotic solutions of an eigenvalue problem with several second-order turning points (1992) (4)
- Three higher-dimensional Virasoro integrable models: Multiple soliton solutions (2013) (4)
- Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case (2022) (4)
- The nonlocal potential transformation method and solitary wave solutions for higher dimensions in shallow water waves (2021) (4)
- A variety of (3+1)-dimensional KdV equations derived by using the KdV recursion operator (2016) (4)
- One Kink Solution for a Variety of Nonlinear Fifth-order Equations (2012) (4)
- Effect of nonlinearity of the middle term of nonlinear dispersive equations on physical structures (2004) (4)
- Nonlinear Fredholm Integral Equations (2011) (4)
- A variety of (3 + 1)‐dimensional Burgers equations derived by using the Burgers recursion operator (2015) (4)
- THE VOLTERRA INTEGRO-DIFFERENTIAL FORMS OF THE SINGULAR FLIERL-PETVIASHVILI AND THE LANE-EMDEN EQUATIONS WITH BOUNDARY CONDITIONS (2013) (4)
- A (2 + 1)-dimensional extension of the Benjamin-Ono equation (2018) (4)
- Bright and dark envelope optical solitons for a (2+1)-dimensional cubic nonlinear Schrödinger equation (2022) (4)
- The solution of a partial differential equation arising in fluid flow theory (1996) (4)
- A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation (2022) (4)
- NEW PAINLEVÉ–INTEGRABLE (2+1)- AND (3+1)-DIMENSIONAL KdV AND mKdV EQUATIONS (2020) (4)
- Numerical Investigation of the Beam-Type Nano-electrostatic Actuator Model by Using the Birkhoff Interpolation Method (2017) (4)
- Linear and Nonlinear Physical Models (2009) (4)
- NEW PAINLEVÉ–INTEGRABLE (2+1)- AND (3+1)-DIMENSIONAL KdV AND mKdV EQUATIONS (2020) (4)
- On some optical soliton structures to the Lakshmanan-Porsezian-Daniel model with a set of nonlinearities (2022) (4)
- Family of KdV-type Equations (2009) (3)
- Volterra Integral Equations (2011) (3)
- Dark Solitons for a Generalized Korteweg-de Vries Equation with Time-Dependent Coefficients (2011) (3)
- Moments of extinction for a singular perturbation problem in the diffusion process (1991) (3)
- Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory (2009) (3)
- Volterra-Fredholm Integral Equations (2011) (3)
- Multiple Soliton Solutions for Two (3+1)-dimensional Extensions of the KP Equation (2011) (3)
- A novel numerical approach and stability analysis for a class of pantograph delay differential equation (2023) (3)
- APPLICATIONS OF MAPLE SOFTWARE TO DERIVE EXACT SOLUTIONS OF GENERALIZED FIFTH-ORDER KORTEWEG-DE VRIES EQUATION WITH TIME-DEPENDENT COEFFICIENTS (2015) (3)
- Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction (2010) (3)
- Axisymmetric forced flow of nonhomogeneous nanofluid over heated permeable cylinders (2022) (3)
- Modified numerical methods based on arithmetic and geometric means (1991) (3)
- Bright and dark modulated optical solitons for a (2+1)-dimensional optical Schrödinger system with third-order dispersion and nonlinearity (2023) (3)
- Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada-Kotera equation (2023) (3)
- Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients (2020) (3)
- New (3+1)-dimensional integrable fourth-order nonlinear equation: lumps and multiple soliton solutions (2021) (3)
- Dynamics of lump chains for the BKP equation describing propagation of nonlinear waves (2023) (3)
- Bright solitons and multiple soliton solutions for coupled modified KdV equations with time-dependent coefficients (2010) (3)
- Soliton Solutions for the Modified KdV6, Modified (2+1)-dimensional Boussinesq, and (3+1)-dimensional KdV Equations (2014) (3)
- Multiple-soliton solutions for the Lax seventh-order equation (2008) (3)
- A COMPLETELY INTEGRABLE SYSTEM OF COUPLED MODIFIED KdV EQUATIONS (2010) (3)
- Two classes of variants of the generalized KdV equations with compact and noncompact solutions (2004) (2)
- Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation (2018) (2)
- Soliton solutions of the KdV equation with higher-order corrections (2010) (2)
- Comment on “Soliton solutions and chaotic motion of the extended Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma” [Phys. Plasmas 21, 073709 (2014)] (2018) (2)
- Higher dimensional integrable Vakhnenko–Parkes equation: multiple soliton solutions (2020) (2)
- New soliton solutions of Dual mode Sawada Kotera equation using a new form of modified Kudryashov method and the finite difference method (2022) (2)
- Simulation Studies on the Dissipative Modified Kawahara Solitons in a Complex Plasma (2022) (2)
- Multi-soliton solutions for integrable ($$3+1$$)-dimensional modified seventh-order Ito and seventh-order Ito equations (2022) (2)
- Numerical solutions of fourth-order Volterra integro-differential equations by the Green’s function and decomposition method (2016) (2)
- A study on complex integrals involving absolute values (1997) (2)
- Soliton-like solutions to the generalized Burgers-Huxley equation with variable coefficients (2013) (2)
- Integrability: mathematical methods for studying solitary waves theory (2014) (2)
- Resonance and asymptotic solutions of a singular perturbation problem (1992) (2)
- New (2+1) and (3+1)-dimensional Integrable Boussinesq Equations: Multiple Soliton Solutions (2019) (2)
- Local dynamic behaviors of long 0-π Josephson junction (2020) (2)
- Study on a New (3+1)-Dimensional Extensions of the Konopelchenko-Dubrovsky Equation (2018) (2)
- Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions (2002) (2)
- The variable separated ODE method for a reliable treatment for the Liouville equation and its variants (2007) (2)
- Performance of hybrid two-phase nanofluid neighboring to permeable plates exposed to elevated temperatures (2022) (2)
- Symmetries and dynamic wave solutions for (3+1)-dimensional potential Calogero–Bogoyavlenskii–Schiff equation (2022) (1)
- Exact wave solutions for the nonlinear time fractional Sharma–Tasso–Olver equation and the fractional Klein–Gordon equation in mathematical physics (2017) (1)
- Solitons and Compactons (2009) (1)
- Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma (2022) (1)
- COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS (2011) (1)
- Construction of a hierarchy of negative‐order integrable Burgers equations of higher orders (2018) (1)
- Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist (2016) (1)
- ON THE SOLUTIONS OF THE PROBLEM OF VISCOUS FLOW OVER SHRINKING SHEET (2017) (1)
- Development of a new iterative method and its convergence analysis for nonlinear fourth‐order boundary value problems arising in beam analysis (2022) (1)
- Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations (2016) (1)
- Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions (2018) (1)
- Abel’s Integral Equation and Singular Integral Equations (2011) (1)
- On the solutions of the (1+1) and (2+1)-dimensional higher-order Broer-Kaup systems (2014) (1)
- Comment on “A note on a study on an integrable system of coupled KdV equations” (2011) (1)
- RATIONAL AND SEMI-RATIONAL SOLUTIONS TO THE NONLOCAL 1 MEL ’ NIKOV EQUATION VIA DETERMINANTS (2020) (1)
- NEW EXTENDED (3+1)-DIMENSIONAL KDV6 EQUATION AND OTHER EQUATIONS DERIVED FROM THE SAME HIERARCHY: PAINLEV ´E INTEGRABILITY (2021) (1)
- THE VARIATIONAL ITERATION METHOD FOR SOLVING LINEAR AND NON-LINEAR VOLTERRA INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATION (2010) (1)
- Repeated application of the recursion operator for a new hierarchy of negative-order integrable KdV equations (2018) (1)
- Compactons structures for fifth-order KdV like equations in higher dimensions (2002) (1)
- Lie symmetries and dynamics of exact solutions of dissipative Zabolotskaya–Khokhlov equation in nonlinear acoustics (2020) (1)
- Generalized (2+1)−dimensional breaking soliton equation (2011) (1)
- Lump, periodic and travelling wave solutions to the (2+1)-dimensional pKP-BKP model (2022) (1)
- On the super freak waves in multicomponent plasmas having two-negative ions: Xe+ − F− − SF6− and Ar+ − F− −SF6− plasmas (2017) (1)
- Construction of different wave structures, stability analysis and modulation instability of the coupled nonlinear Drinfel’d–Sokolov–Wilson model (2023) (1)
- An Efficient Method for Solving the Generalized Thomas–Fermi and Lane–Emden–Fowler Type Equations with Nonlocal Integral Type Boundary Conditions (2022) (1)
- New ideas for solving size-structured population models (1998) (1)
- Burgers, Fisher and Related Equations (2009) (1)
- Singular Integral Equations (2015) (1)
- Simulation of the eigenvalue problem for tapered rotating beams by the modified decomposition method (2021) (1)
- One Dimensional Heat Flow (2009) (1)
- A Multiple Variational Iteration Method for Nonlinear Two-Point Boundary Value Problems with Nonlinear Conditions (2020) (1)
- Breather-wave, multi-wave and interaction solutions for the (3+1)-dimensional generalized breaking soliton equation (2021) (1)
- (Invited) Optical Solitons and traveling wave solutions to Kudryashov’s equation (2023) (1)
- High-order irregular dark solitons for the AB system (2021) (1)
- First-order Partial Differential Equations (2009) (1)
- Multiple soliton solutions and multiple singular soliton solutions for two integrable systems (2008) (1)
- A new (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: integrability characteristics and localized solutions (2023) (1)
- An extended KdV6 hierarchy of nonlinear evolution equations: Painlevé integrability and variety of branches of resonances (2022) (0)
- Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves (2022) (0)
- Introductory Concepts of Integral Equations (2011) (0)
- A semi-analytical approach to solve systems of integro-differential equations (2016) (0)
- Nonlinear Fredholm Integro-Differential Equations (2011) (0)
- Nonlinear Integral Equations (1997) (0)
- Integrability features of a new (3+1)-dimensional nonlinear Hirota bilinear model: multiple soliton solutions and a class of lump solutions (2022) (0)
- Fractional differential quadrature techniques for fractional order Cauchy reaction‐diffusion equations (2023) (0)
- A COMPUTATIONAL METHOD FOR SOLVING THE SYSTEM OF HAMILTON–JACOBI–BELLMAN PDES IN NONZERO-SUM FIXED-FINAL-TIME DIFFERENTIAL GAMES (2021) (0)
- A new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation (2015) (0)
- The nonlocal potential transformation method for solitary wave packets of a shock-breaking dynamics system (2022) (0)
- New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions (2019) (0)
- Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation (2017) (0)
- KdV and mKdV Equations of Higher-orders (2009) (0)
- An extended time-dependent KdV6 equation (2019) (0)
- Systems of Fredholm Integral Equations (2011) (0)
- Structures of interaction between lump, breather, rogue and periodic wave solutions for new (3 + 1)-dimensional negative order KdV-CBS model (2022) (0)
- Numerical Applications and Padé Approximants (2009) (0)
- Unsteady Rheology of MHD Newtonian Material with Soret and Dufours Effects (2017) (0)
- Multiple Soliton Solutions for a Variety of Coupled Modified Korteweg–de Vries Equations (2011) (0)
- On Lump, Periodic and Travelling Wave Structures to the Generalized Breaking Soliton Model (2022) (0)
- Analytical methods: the next frontier towards nonlinear science (2010) (0)
- An extended Painlevé integrable Kadomtsev--Petviashvili equation with lumps and multiple soliton solutions (2023) (0)
- Interaction of lumps and dark solitons in the Mel’nikov equation (2018) (0)
- Some new integrable systems of two-component fifth-order equations (2016) (0)
- A new recursive scheme for solving a fractional differential equation of ray tracing through the crystalline lens (2022) (0)
- A Two-Mode Burgers Equation of Weak Shock Waves in a Fluid: Multiple Kink Solutions and Other Exact Solutions (2016) (0)
- Correction to: Lump, periodic and travelling wave solutions to the (2 + 1)-dimensional pKP-BKP model (2022) (0)
- Compact and noncompact structures formed by nonlinear equations with positive and negative exponents (2003) (0)
- Interaction of wave structure in the PT -symmetric (3 + 1) -dimensional nonlocal Mel’nikov equation and their applications (2023) (0)
- A computational method based on the modification of the variational iteration method for determining the solution of the optimal control problems (2020) (0)
- Interaction of wave structure in the $$\mathcal{P}\mathcal{T}$$-symmetric $$(3\,+\,1)$$-dimensional nonlocal Mel’nikov equation and their applications (2023) (0)
- Laplace’s Equation (2009) (0)
- Integro-Differential Equations (1997) (0)
- Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities (2015) (0)
- Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(?))-Expansion Method (2020) (0)
- WITHDRAWN: New chirped soliton-like solutions of the Fokas-Lenells equation (2016) (0)
- Higher Dimensional Wave Equation (2009) (0)
- The Family of the KdV Equations (2009) (0)
- Compactons structures for specific nonlinear dispersive equations (2004) (0)
- Neuro-heuristic computational intelligence for solving nonlinear pantograph systems (2017) (0)
- An extended modified KdV equation and its Painlevé integrability (2016) (0)
- Novel Soliton Solutions for the (3 + 1)-Dimensional Sakovich Equation Using Different Analytical Methods (2023) (0)
- Travelling Wave Solutions for Baroclinic Potential Vorticity Equation (2014) (0)
- (3+1)-Dimensional Nonlinear Equations and Couplings of Fifth-Order Equations in the Solitary Waves Theory: Multiple Soliton Solutions (2015) (0)
- A study on two coupled modified KdV systems with time-dependent and constant coefficients (2012) (0)
- Higher Dimensional Heat Flow (2009) (0)
- Negative-Order KdV and Negative-Order KP Equations: Multiple Soliton Solutions (2017) (0)
- Novel exact solutions to a coupled Schrödinger–KdV equations in the interactions of capillary–gravity waves (2023) (0)
- Burgers Hierarchy in (2+1)-dimensions: Multiple Kink Solutions and Multiple Singular Kink Solutions (2010) (0)
- New (3+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{+}$$\end{document}1)-dimensional equations of Burgers t (2016) (0)
- Breaking soliton equations and negative-order breaking soliton equations of typical and higher orders (2016) (0)
- The Volterra integral form of the Lane–Emden equation: new derivations and solution by the Adomian decomposition method (2014) (0)
- The successive differentiation computer-assisted method for solving well-known scientific and engineering models (2018) (0)
- Unsteady Rheology of MHD Newtonian Material with Soret and Dufours Effects (2017) (0)
- Numerical Investigation of the Beam-Type Nano-electrostatic Actuator Model by Using the Birkhoff Interpolation Method (2017) (0)
- Negative-order integrable modified KdV equations of higher orders (2018) (0)
- Fredholm Integro-Differential Equations (2011) (0)
- Boussinesq, Klein-Gordon and Liouville Equations (2009) (0)
- Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine-Gordon equation (2018) (0)
- An eighth-order KdV-type equation in (1+1) and (2+1) dimensions: multiple soliton solutions (2013) (0)
- Hypergeometric Series Solution to a Class of Second-Order Boundary Value Problems via Laplace Transform with Applications to Nanofluids (2017) (0)
- One Dimensional Wave Equation (2009) (0)
- Families of Camassa-Holm and Schrodinger Equations (2009) (0)
- Bright and dark optical modulated soliton solutions for the fourth–order (2+1)-dimensional Schrödinger equation with higher-order odd and even terms (2023) (0)
- Systems of Volterra Integral Equations (2011) (0)
- Painlevé analysis for a new (3 +1 )-dimensional KP equation: Multiple-soliton and lump solutions (2022) (0)
- Analytic Treatment for (2+1)-Dimensional Kortweg-de Vries-Like and Kadomtsev-Petviashvili-Like Equations (2010) (0)
- Systems of Singular Integral Equations (2011) (0)
- Sequences of series (1992) (0)
- New Gaussian solitary wave solutions in nanofibers (2021) (0)
- Some classification of non-commutative Integrable Systems (2017) (0)
- Approx imate Solutions to Boundary Value Problems of Higher Order by the Modif ied Decompos (2002) (0)
- Bright and dark soliton solutions for a new fifth-order nonlinear integrable equation with perturbation terms (2012) (0)
- Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions (2009) (0)
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