Liao Shijun
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Chinese physicist and mathematician
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Liao Shijun's Degrees
- PhD Physics Tsinghua University
- Bachelors Physics Tsinghua University
Why Is Liao Shijun Influential?
(Suggest an Edit or Addition)According to Wikipedia, Liao Shijun is a fluid mechanics and applied mathematics expert working in homotopy analysis method , nonlinear wavess, nonlinear dynamics, and applied mathematics. He was born in Wuhan, Hubei Province, China. Liao is a professor at Shanghai Jiao Tong University.
Liao Shijun's Published Works
Published Works
- Beyond Perturbation: Introduction to the Homotopy Analysis Method (2003) (3177)
- On the homotopy analysis method for nonlinear problems (2004) (1647)
- Homotopy Analysis Method in Nonlinear Differential Equations (2012) (927)
- Notes on the homotopy analysis method: Some definitions and theorems (2009) (891)
- An optimal homotopy-analysis approach for strongly nonlinear differential equations (2010) (869)
- An approximate solution technique not depending on small parameters: A special example (1995) (578)
- An explicit, totally analytic approximate solution for Blasius’ viscous flow problems (1999) (569)
- On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet (2003) (569)
- A new branch of solutions of boundary-layer flows over an impermeable stretched plate (2005) (465)
- Comparison between the homotopy analysis method and homotopy perturbation method (2005) (450)
- A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate (1999) (362)
- A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics (1997) (358)
- AN EXPLICIT TOTALLY ANALYTIC APPROXIMATION OF BLASIUS VISCOUS FLOW PROBLEMS (1999) (308)
- An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate (2006) (275)
- Analytic solutions of the temperature distribution in Blasius viscous flow problems (2002) (269)
- Homotopy analysis of nonlinear progressive waves in deep water (2003) (269)
- Explicit analytic solution for similarity boundary layer equations (2004) (239)
- AN APPROXIMATE SOLUTION TECHNIQUE WHICH DOES NOT DEPEND UPON SMALL PARAMETERS: A SPECIAL EXAMPLE (1995) (197)
- Application of Homotopy Analysis Method in Nonlinear Oscillations (1998) (189)
- A new analytic algorithm of Lane-Emden type equations (2003) (189)
- Advances in the homotopy analysis method (2014) (188)
- A new branch of solutions of boundary-layer flows over a permeable stretching plate (2007) (182)
- Foundations of offshore wind turbines: A review (2019) (176)
- Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate (2005) (168)
- SERIES SOLUTIONS OF NON-LINEAR RICCATI DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER (2009) (167)
- Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner–Skan flow of nano-fluid (2015) (150)
- Homotopy analysis method: A new analytical technique for nonlinear problems (1997) (148)
- Boundary element method for general nonlinear differential operators (1997) (140)
- Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate (2006) (138)
- A general approach to get series solution of non-similarity boundary-layer flows (2009) (134)
- Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate (2007) (129)
- An analytic approximation of the drag coefficient for the viscous flow past a sphere (2002) (128)
- Series solutions of nano boundary layer flows by means of the homotopy analysis method (2008) (127)
- Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux (2016) (121)
- Homotopy based solutions of the Navier–Stokes equations for a porous channel with orthogonally moving walls (2010) (121)
- Solving solitary waves with discontinuity by means of the homotopy analysis method (2005) (120)
- An analytic approach to solve multiple solutions of a strongly nonlinear problem (2005) (120)
- Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones (2006) (108)
- An explicit solution of the large deformation of a cantilever beam under point load at the free tip (2008) (108)
- An analytic approximate approach for free oscillations of self-excited systems (2004) (107)
- On model for three-dimensional flow of nanofluid: An application to solar energy (2014) (103)
- An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude (2003) (101)
- An explicit analytic solution to the Thomas-Fermi equation (2003) (100)
- On the explicit, purely analytic solution of Von Kármán swirling viscous flow (2006) (100)
- AN APPROXIMATE SOLUTION TECHNIQUE WHICH DOES NOT DEPEND UPON SMALL PARAMETERS (PART 2): AN APPLICATION IN FLUID MECHANICS (1997) (97)
- The explicit series solution of SIR and SIS epidemic models (2009) (96)
- Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel (2014) (94)
- Newton-homotopy analysis method for nonlinear equations (2007) (91)
- Solving the one-loop soliton solution of the Vakhnenko equation by means of the Homotopy analysis method (2005) (90)
- Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body (2006) (89)
- Analysis of nonlinear fractional partial differential equations with the homotopy analysis method (2009) (89)
- On the relationship between the homotopy analysis method and Euler transform (2010) (87)
- Commun Nonlinear Sci Numer Simulat (2013) (86)
- Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet (2009) (83)
- Series solution of unsteady boundary layer flows of non-Newtonian fluids near a forward stagnation point (2006) (80)
- Numerically solving non-linear problems by the homotopy analysis method (1997) (76)
- A Second-Order Approximate Analytical Solution of a Simple Pendulum by the Process Analysis Method (1992) (74)
- On the reliability of computed chaotic solutions of non-linear differential equations (2008) (73)
- On the mathematically reliable long-term simulation of chaotic solutions of Lorenz equation in the interval [0,10000] (2013) (72)
- Dual solutions of boundary layer flow over an upstream moving plate (2008) (70)
- On the steady-state fully resonant progressive waves in water of finite depth (2012) (70)
- On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves (2010) (62)
- Explicit series solution of travelling waves with a front of Fisher equation (2007) (62)
- Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method (2009) (61)
- On the explicit analytic solution of Cheng-Chang equation (2003) (61)
- Analytic Series Solution for Unsteady Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium (2005) (58)
- Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting (2015) (53)
- Series solutions of coupled Van der Pol equation by means of homotopy analysis method (2010) (49)
- More than six hundred new families of Newtonian periodic planar collisionless three-body orbits (2017) (47)
- General boundary element method for non-linear heat transfer problems governed by hyperbolic heat conduction equation (1997) (46)
- Steady-state resonance of multiple wave interactions in deep water (2014) (42)
- An explicit series approximation to the optimal exercise boundary of American put options (2010) (42)
- On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems (2011) (38)
- Analysis of mixed convection flow in an inclined lid-driven enclosure with Buongiorno’s nanofluid model (2018) (38)
- Calculation of added mass coefficients of 3D complicated underwater bodies by FMBEM (2011) (37)
- On the steady-state nearly resonant waves (2016) (36)
- Physical limit of prediction for chaotic motion of three-body problem (2013) (35)
- An analytical solution for a nonlinear time-delay model in biology (2009) (35)
- A HAM-based wavelet approach for nonlinear partial differential equations: Two dimensional Bratu problem as an application (2017) (34)
- Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces (2014) (34)
- A HAM-based wavelet approach for nonlinear ordinary differential equations (2017) (33)
- The improved homotopy analysis method for the Thomas-Fermi equation (2012) (33)
- On the existence of steady-state resonant waves in experiments (2014) (32)
- A challenging nonlinear problem for numerical techniques (2005) (31)
- On the method of directly defining inverse mapping for nonlinear differential equations (2015) (29)
- Collisionless periodic orbits in the free-fall three-body problem (2018) (29)
- Symbolic computation of strongly nonlinear periodic oscillations (2013) (29)
- Series solutions of unsteady free convection flow in the stagnation-point region of a three-dimensional body (2008) (29)
- An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate (1998) (28)
- A short review on the homotopy analysis method in fluid mechanics (2010) (28)
- Series solutions of unsteady MHD flows above a rotating disk (2006) (27)
- The scaled boundary FEM for nonlinear problems (2011) (27)
- An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain (2013) (27)
- A family of new solutions on the wall jet (2008) (27)
- Series solutions of unsteady boundary layer flow of a micropolar fluid near the forward stagnation point of a plane surface (2006) (26)
- A Simple Approach of Enlarging Convergence Regions of Perturbation Approximations (1999) (26)
- On the interaction of deep water waves and exponential shear currents (2009) (25)
- GENERAL BOUNDARY-ELEMENT METHOD FOR UNSTEADY NONLINEAR HEAT TRANSFER PROBLEMS (1999) (25)
- On the limiting Stokes wave of extreme height in arbitrary water depth (2017) (25)
- Higher‐order streamfunction‐vorticity formulation of 2D steady‐state Navier‐Stokes equations (1992) (24)
- Over a thousand new periodic orbits of a planar three-body system with unequal masses (2018) (24)
- Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach (2018) (23)
- On the general boundary element method (1998) (22)
- Series Solution of Three-Dimensional Unsteady Laminar Viscous Flow Due to a Stretching Surface in a Rotating Fluid (2007) (22)
- Finite amplitude steady-state wave groups with multiple near resonances in deep water (2017) (21)
- Analytic approximations of Von Kármán plate under arbitrary uniform pressure—equations in integral form (2016) (21)
- Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure — Equations in Differential Form (2016) (21)
- On the origin of intrinsic randomness of Rayleigh-Bénard turbulence (2016) (19)
- An explicit solution for the combined heat and mass transfer by natural convection from a vertical wall in a non-Darcy porous medium (2003) (19)
- A Series Solution of the Unsteady Von Kármán Swirling Viscous Flows (2007) (19)
- A non‐iterative numerical approach for two‐dimensional viscous flow problems governed by the Falker–Skan equation (2001) (19)
- Unsteady non-similarity boundary-layer flows caused by an impulsively stretching flat sheet (2011) (19)
- Optimal Homotopy Analysis Method (2012) (18)
- A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier-Stokes equations (2019) (18)
- Chapter 9: HAM-Based Mathematica Package BVPh 2.0 for Nonlinear Boundary Value Problems (2014) (18)
- On the clean numerical simulation (CNS) of chaotic dynamic systems (2017) (17)
- Series Solution of Non-similarity Boundary-Layer Flows Over a Porous Wedge (2010) (17)
- GENERAL BOUNDARY ELEMENT METHOD FOR NON‐LINEAR PROBLEMS (1996) (16)
- A direct boundary element approach for unsteady non-linear heat transfer problems (2002) (16)
- On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems (2014) (16)
- A new method for homoclinic solutions of ordinary differential equations (2009) (16)
- HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS (1996) (15)
- On the risks of using double precision in numerical simulations of spatio-temporal chaos (2019) (15)
- Nonlinear analysis for extreme large bending deflection of a rectangular plate on non-uniform elastic foundations (2018) (15)
- On the steady-state resonant acoustic–gravity waves (2018) (15)
- A new modification of false position method based on homotopy analysis method (2008) (15)
- Observation of two coupled Faraday waves in a vertically vibrating Hele-Shaw cell with one of them oscillating horizontally (2016) (15)
- On the stability of the three classes of Newtonian three-body planar periodic orbits (2014) (14)
- A new branch of the temperature distribution of boundary-layer flows over an impermeable stretching plate (2008) (14)
- Observation of two-dimensional Faraday waves in extremely shallow depth. (2015) (14)
- SERIES SOLUTION OF LARGE DEFORMATION OF A BEAM WITH ARBITRARY VARIABLE CROSS SECTION UNDER AN AXIAL LOAD (2009) (13)
- On the homotopy analysis method for backward/forward-backward stochastic differential equations (2016) (13)
- Series solution of large deformation of a beam with arbitrary variable cross section under an axial load (2009) (13)
- Solving high Reynolds‐number viscous flows by the general BEM and domain decomposition method (2005) (13)
- The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum (2017) (12)
- Equilibrium states of class-I Bragg resonant wave system (2015) (12)
- The general boundary element method and its further generalizations (1999) (11)
- Chaos: a bridge from microscopic uncertainty to macroscopic randomness (2011) (11)
- High-fidelity solver on polyhedral unstructured grids for low-Mach number compressible viscous flow (2019) (11)
- Two kinds of peaked solitary waves of the KdV, BBM and Boussinesq equations (2012) (11)
- Series solution of non-similarity natural convection boundary-layer flows over permeable vertical surface (2010) (11)
- High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow (2019) (10)
- Some notes on the general boundary element method for highly nonlinear problems (2005) (10)
- Finding multiple solutions of nonlinear problems by means of the homotopy analysis method (2006) (10)
- Faraday waves in a Hele-Shaw cell (2018) (10)
- A consistent and balanced-force model for incompressible multiphase flows on polyhedral unstructured grids (2020) (10)
- On the Nonsimilarity Boundary-Layer Flows of Second-Order Fluid Over a Stretching Sheet (2010) (10)
- On time independent Schrödinger equations in quantum mechanics by the homotopy analysis method (2019) (9)
- On the generalized wavelet-Galerkin method (2016) (9)
- Chaotic motion of three-body problem : an origin of macroscopic randomness of the universe (2013) (9)
- A HAM-based analytic approach for physical models with an infinite number of singularities (2015) (9)
- Three-body problem - from Newton to supercomputer plus machine learning (2021) (9)
- Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time? (2014) (9)
- Influence of round-off errors on the reliability of numerical simulations of chaotic dynamic systems (2017) (9)
- Mass, momentum, and energy flux conservation between linear and nonlinear steady-state wave groups (2017) (9)
- Accurate predictions of chaotic motion of a free fall disk (2021) (9)
- Do peaked solitary water waves indeed exist? (2012) (9)
- NUMERICAL SIMULATIONS OF PARTICLE-LADEN AXISYMMETRIC TURBULENT FLOWS (2001) (9)
- On the viscous flow past a sphere: A simplified description (1999) (8)
- A Modified Homotopy Analysis Method for Solving Boundary Layer Equations (2013) (8)
- Stability and hysteresis of Faraday waves in Hele-Shaw cells (2019) (8)
- Influence of numerical noises on computer-generated simulation of spatio-temporal chaos (2020) (8)
- One family of 13315 stable periodic orbits of non-hierarchical unequal-mass triple systems (2020) (8)
- General boundary element method for Poisson equation with spatially varying conductivity (1998) (7)
- What's the common ground of all numerical and analytical techniques for nonlinear problems? (1996) (7)
- A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids (2020) (7)
- Steady-state multiple near resonances of periodic interfacial waves with rigid boundary (2020) (7)
- Pattern transition of two-dimensional Faraday waves at an extremely shallow depth (2016) (7)
- A general analytical approach to study solute dispersion in non-Newtonian fluid flow (2019) (7)
- Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems (2016) (7)
- HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS. PART 2: SOME 2D EXAMPLES (1997) (7)
- A commend on"Three Classes of Newtonian Three-Body Planar Periodic Orbits"by \v{S}uvakov and Dmitra\v{s}inovi\'{c} (PRL, 2013) (2013) (7)
- Ultra-Chaos: an Insurmountable Objective Obstacle of Reproducibility and Replication (2021) (6)
- A new non-perturbative approach in quantum mechanics for time-independent Schrödinger equations (2018) (6)
- A kind of linearity-invariance under homotopy and some simple applications o fit in mechanics (1992) (6)
- Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method (2009) (6)
- On peaked solitary waves of the Degasperis-Procesi equation (2012) (6)
- On the homotopy multiple-variable method and its applications in the interactions between nonlinear gravity waves (2010) (6)
- Effect of width on the properties of Faraday waves in Hele-Shaw cells (2019) (6)
- A multigrid approach for steady state laminar viscous flows (2001) (5)
- Systematic Descriptions and Related Theorems (2012) (5)
- Observations of highly localized oscillons with multiple crests and troughs. (2014) (5)
- Steady-state harmonic resonance of periodic interfacial waves with free-surface boundary conditions based on the homotopy analysis method (2021) (5)
- Phase velocity effects of the wave interaction with exponentially sheared current (2014) (5)
- Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields. (2021) (5)
- Analytic solutions of the rise dynamics of liquid in a vertical cylindrical capillary (2018) (5)
- Basic Ideas of the Homotopy Analysis Method (2012) (5)
- General boundary element method: an application of homotopy analysis method☆ (1998) (5)
- Multiple solutions of a nonlinear problem (2003) (4)
- Effect of depth on the properties of two coupled Faraday waves in a Hele-Shaw cell (2018) (4)
- On the general Taylor theorem and its applications in solving non-linear problems (1997) (4)
- Nonlinear Boundary-value Problems with Multiple Solutions (2012) (4)
- Wave breaking and jet formation on axisymmetric surface gravity waves (2022) (4)
- On the Discovery of the Steady-State Resonant Water Waves (2016) (4)
- On the reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000] (2013) (4)
- A comment on the arguments about the reliability and convergence of chaotic simulations (2014) (3)
- Explicit Solutions of MHD Flow and Heat Transfer of Casson Fluid over an Exponentially Shrinking Sheet with Suction (2022) (3)
- A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations (2012) (3)
- Series solutions of unsteady MHD flow of a non-newtonian fluid near the forward stagnation point (2006) (3)
- A short communication on Dr. He’s modified Lindstedt–Poincaré method (2007) (3)
- Comparison between Homotopy Analysis Method and Homotopy Renormalization Method (2022) (3)
- Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence (2022) (3)
- Homotopy analysis method - A new analytic approach for highly nonlinear problems (2015) (3)
- On the periodic solutions of the three-body problem (2019) (3)
- Two new standing solitary waves in shallow water (2013) (3)
- Finite-amplitude steady-state resonant waves in a circular basin (2021) (3)
- The influence of numerical noises on statistics computation of chaotic dynamic systems (2016) (3)
- On solitary surface waves in finite water depth: a generalized wave theory (2012) (2)
- Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method (2022) (2)
- EXPLICIT SERIES SOLUTION OF A CLOSURE MODEL FOR THE VON KÁRMÁN-HOWARTH EQUATION (2010) (2)
- Nonlinear Interaction Between Shear Current And Multiple Waves (2012) (2)
- Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method (2021) (2)
- On peaked solitary waves of Camassa-Holm equation (2012) (2)
- Sub-harmonic resonances of periodic parameter excited oscillators with the absolute value items (2015) (2)
- On a new type of solitary surface waves in finite water depth (2012) (2)
- Unsteady Boundary-layer Flows (2012) (2)
- A buoyancy vertical transport system of deep-sea mining (2020) (2)
- A GENERAL NUMERICAL METHOD FOR THE SOLUTION OF GRAVITY WAVE PROBLEMS. PART 1: 2D STEEP GRAVITY WAVES IN SHALLOW WATER (1991) (2)
- Applications in Finance: American Put Options (2012) (2)
- A general numerical method for solution of gravity wave problems. Part 2: Steady nonlinear gravity waves (1992) (2)
- EXPLICIT ANALYTIC SOLUTIONS OF KDV EQUATION GIVEN BY THE HOMOTOPY ANALYSIS METHOD (2005) (2)
- Chapter 1: Chance and Challenge: A Brief Review of Homotopy Analysis Method (2014) (1)
- Can machine learning really solve the three-body problem? (2020) (1)
- On the 8th-order drag coefficient formula of a sphere in a uniform stream: A simplified description (1998) (1)
- On parallel computing for the general boundary element method (2002) (1)
- Comparison between Symplectic Integrators and Clean Numerical Simulation for Chaotic Hamiltonian Systems (2016) (1)
- EXPLICIT SERIES SOLUTION OF A CLOSURE MODEL FOR THE VON KÁRMÁN–HOWARTH EQUATION (2011) (1)
- Corrigendum to “Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting” [Int. J. Heat Mass Transf. 86 (2015) 174–182] (2018) (1)
- Stagnation-Point Flow of Nanofluid Through Different Utilization of Thermal Radiation Effect (2014) (1)
- One hundred and fifty-two new families of Newtonian periodic planar three-body orbits (2017) (1)
- Mathematica Package BVPh (2012) (0)
- Parallel Computation of Reliable Chaotic Solutions of Saltzman’s Equations by Means of the Clean Numerical Simulation (2013) (0)
- Relationship to Euler Transform (2012) (0)
- Simple bifurcation of a nonlinear problem (2003) (0)
- On the homotopy analysis method for backward/forward-backward stochastic differential equations (2017) (0)
- Invited Speakers (2002) (0)
- On the free surface motion with a vertical vortex sheet under water (2018) (0)
- On the dispersion relation of nonlinear wave current interaction by means of the HAM (2012) (0)
- Nonlinear Analysis: Real World Applications (2009) (0)
- Non-similarity Boundary-layer Flows (2012) (0)
- Preface of the “Symposium on analytical approaches for nonlinear differential equations modeling complex natural phenomena & advanced technological processes” (2015) (0)
- A Boundary-layer Flow with an Infinite Number of Solutions (2012) (0)
- A kind of direct, implicit numerical scheme for unsteady nonlinear problems☆ (1997) (0)
- On the dynamics of the gravitational lifting system in the deep sea mining industry (2021) (0)
- Interaction of Nonlinear Water Wave and Nonuniform Currents (2012) (0)
- A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos (2023) (0)
- Explicit series solutions for supersonic flat-plate boundary layer flows (2022) (0)
- Von Karman swirling viscous flow (2003) (0)
- Some Methods Based on the HAM (2012) (0)
- Multiple Solutions of Four-Wave Resonant Interactions in Deep Water (2013) (0)
- On cusped solitary waves in finite water depth (2013) (0)
- A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations (2012) (0)
- Ultra-chaos in the ABC flow and its relationships to turbulence (2022) (0)
- Blasius’ viscous flow (2003) (0)
- On the Steady-State General Resonant Quartets in Water of Finite Depth (2018) (0)
- Volterra’s population model (2003) (0)
- Advantages, limitations, and open questions (2003) (0)
- Boundary-layer flows with exponential property (2003) (0)
- A new solitary wave theory of KdV equation (2012) (0)
- Two and Three Dimensional Gelfand Equation (2012) (0)
- On the stability of the three classes of Newtonian three-body planar periodic orbits (2014) (0)
- Research Article A Note on Wave Equation and Convolutions (2007) (0)
- Steady-state Solutions of the Resonant Wave System Propagating Over Undulated Bottom (2014) (0)
- A HAM-based analytic approach for physical models with an infinite number of singularities (2014) (0)
- Implementation to the Different Differential Equations of Homotopy Analysis , Differential Transformed and Adomian Decomposition Method (2013) (0)
- 2022 Avoiding small denominator problems by completely abandoning perturbation methods (2022) (0)
- Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach (2018) (0)
- Ultra-chaos: an insurmountable objective obstacle of reproducibility and replicability (2021) (0)
- Boundary-layer flows with algebraic property (2003) (0)
- Thomas-Fermi atom model (2003) (0)
- Solution of MHD Flow of Fluid and Heat Transfer Problem via Optimal Homotopy Asymptotic Method (2017) (0)
- Steady-State Solutions of the Wave-Bottom Resonant Interaction (2013) (0)
- Exact HAM Solutions for the Viscous Rotational Flowfield in Channels with Regressing and Injecting Sidewalls (2010) (0)
- Free oscillation systems with quadratic nonlinearity (2003) (0)
- The effect of numerical noises on statistics of a chaotic dynamical system (2018) (0)
- Nonlinear progressive waves in deep water (2003) (0)
- Analytic investigation of bioconvection in an unsteady squeezing flow of nanofluid between parallel plates (2015) (0)
- Nonlinear eigenvalue problem (2003) (0)
- Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems (2018) (0)
- Relations to some previous analytic methods (2003) (0)
- The experimental study on the standing solitary waves (2015) (0)
- On Reliable Computation of Lifetime in Transient Chaos (2021) (0)
- Influence of database noises to machine learning for spatiotemporal chaos (2021) (0)
- Free oscillation systems with odd nonlinearity (2003) (0)
- Periodic satellite orbits of the Broucke-Hadjidemetriou-Hénon family of three-body system with unequal masses (2020) (0)
- On 179253 new satellites of the Broucke-Hadjidemetriou-Hénon family of periodic unequal-mass three-body orbits (2020) (0)
- On the quartet resonance of gravity waves in water of finite depth (2012) (0)
- Resonance of Arbitrary Number of Periodic Traveling Water Waves (2012) (0)
- TWO-PHASE MODELS ASSESSMENT VIA DNS (2001) (0)
- Satellites of the Broucke-Hadjidemetriou-H\'{e}non family of periodic unequal-mass three-body orbits (2020) (0)
- Nonlinear Eigenvalue Equations with Varying Coefficients (2012) (0)
- Limit cycle in a multidimensional system (2003) (0)
- On the mathematically reliable long-term simulation of chaotic solutions of Lorenz equation in the interval [0,10000] (2014) (0)
- Pattern transition of two-dimensional Faraday waves at an extremely shallow depth (2016) (0)
- Analytic approximations of Von Kármán plate under arbitrary uniform pressure—equations in integral form (2017) (0)
- On the method of directly defining inverse mapping for nonlinear differential equations (2015) (0)
- A kind of Lagrangian chaotic property of the Arnold–Beltrami–Childress flow (2023) (0)
- A new non-perturbative approach in quantum mechanics for time-independent Schrödinger equations (2020) (0)
- Effect of width on the properties of Faraday waves in Hele-Shaw cells (2019) (0)
- Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces (2014) (0)
- On the origin of intrinsic randomness of Rayleigh-Bénard turbulence (2016) (0)
- Two kinds of peaked solitary waves of the KdV, BBM and Boussinesq equations (2012) (0)
- On peaked solitary waves of the Degasperis-Procesi equation (2013) (0)
- Response to"Comment on 'Faraday waves in a Hele-Shaw cell' Phys Fluids 30,042106 (2018)" (2023) (0)
- Triple collision orbits in the free-fall three-body system without binary collisions (2021) (0)
- More than six hundred new families of Newtonian periodic planar collisionless three-body orbits (2017) (0)
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