Nail H. Ibragimov
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Mathematics
Nail H. Ibragimov's Degrees
- PhD Mathematics Moscow State University
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(Suggest an Edit or Addition)Nail H. Ibragimov'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
- Transformation groups applied to mathematical physics (1984) (1014)
- Utilization of photon orbital angular momentum in the low-frequency radio domain. (2007) (805)
- A new conservation theorem (2007) (734)
- CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 2. Applications in Engineering and Physical Sciences (1995) (591)
- Nonlinear self-adjointness and conservation laws (2011) (284)
- Lie-Backlund Transformations in Applications (1987) (194)
- Integrating factors, adjoint equations and Lagrangians (2006) (184)
- Lie Symmetry Analysis of Differential Equations in Finance (1998) (173)
- Preliminary group classification of equations vtt=f(x,vx)vxx+g(x,vx) (1991) (158)
- Nonlinear self-adjointness in constructing conservation laws (2011) (132)
- Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations (2015) (122)
- Lie–Bäcklund and Noether Symmetries with Applications (1998) (120)
- Quasi-self-adjoint differential equations (2007) (112)
- Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics (2012) (106)
- Linearization of third-order ordinary differential equations by point and contact transformations (2005) (93)
- Self-adjointness and conservation laws of a generalized Burgers equation (2011) (67)
- A Practical Course in Differential Equations and Mathematical Modelling: Classical and New Methods. Nonlinear Mathematical Models. Symmetry and Invariance Principles (2010) (65)
- Lagrangian Approach to Evolution Equations: Symmetries and Conservation Laws (2004) (63)
- A practical course in differential equations and mathematical modeling (2009) (60)
- ON THE CAUCHY PROBLEM FOR THE EQUATION (1977) (58)
- Lie-Bäcklund tangent transformations (1977) (56)
- Self-adjoint sub-classes of generalized thin film equations (2009) (55)
- Laplace Type Invariants for Parabolic Equations (2002) (53)
- A simple method for group analysis and its application to a model of detonation (1992) (53)
- Linearization of fourth-order ordinary differential equations by point transformations (2007) (47)
- Quasi self-adjoint nonlinear wave equations (2010) (47)
- Symmetries of Integro-Differential Equations (2010) (44)
- Principle of an a priori use of symmetries in the theory of nonlinear waves (2004) (38)
- Self-adjointness of a generalized Camassa-Holm equation (2011) (37)
- Symmetries of Integro-Differential Equations: A Survey of Methods Illustrated by the Benny Equations (2001) (37)
- Equivalence groups and invariants of linear and non-linear equations (2004) (37)
- Invariants of a Remarkable Family of Nonlinear Equations (2002) (34)
- Geometric Proof of Lie's Linearization Theorem (2004) (33)
- Group analysis of the Novikov equation (2012) (30)
- The answer to the question put to me by L.V. Ovsyannikov 33 years ago (2006) (28)
- Differential invariants of nonlinear equations vtt=f(x,vx)vxx+g(x,vx) (2004) (27)
- Group analysis of difierential equations (2000) (26)
- Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems (2004) (25)
- Method of conservation laws for constructing solutions to systems of PDEs (2012) (25)
- Closed orbits and their stable symmetries (1994) (25)
- Equivalence group of a fourth-order evolution equation unifying various non-linear models (2008) (24)
- Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model (2013) (24)
- Selected works. Volume 4 (2006) (24)
- Differential invariants of the one-dimensional quasi-linear second-order evolution equation (2007) (23)
- Exact solutions of gasdynamic equations obtained by the method of conservation laws (2013) (21)
- Equivalence Groups for Balance Equations (1994) (20)
- Applications of Lie Group Analysis in Geophysical Fluid Dynamics (2011) (18)
- Conservation laws and exact solutions for nonlinear diffusion in anisotropic media (2013) (18)
- Conservation laws and non-invariant solutions of anisotropic wave equations with a source (2018) (18)
- Transformation Groups and Lie Algebras (2013) (17)
- Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model (2011) (17)
- Lie group analysis : Classical Heritage (2004) (17)
- Symmetries and conservation laws of the generalized Krichever–Novikov equation (2014) (17)
- Invariants of linear parabolic differential equations (2008) (17)
- Sophus lie and harmony in mathematical physics, on the 150th anniversary of his birth (1994) (17)
- Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation (1997) (16)
- Contact Transformation Group Classification of Nonlinear Wave Equations (2000) (16)
- Group theoretical nature of conservation theorems (1977) (16)
- The equivalence group and invariant solutions of a tumour growth model (2004) (15)
- Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell (2011) (15)
- Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations (2009) (14)
- Time-dependent exact solutions of the nonlinear Kompaneets equation (2010) (14)
- Group invariant solutions of differential equations (2013) (14)
- Nonlinear self-adjointness of the Krichever-Novikov equation (2014) (13)
- Invariants of evolution equations (2003) (13)
- Continuation of Approximate Transformation Groups via Multiple Time Scales Method (2000) (13)
- Symmetries of Stochastic Differential Equations (2010) (12)
- Symmetries, Lagrangian and Conservation Laws for the Maxwell Equations (2009) (12)
- Applications of Lie Group Analysis to Mathematical Modelling in Natural Sciences (2012) (11)
- Extension of Euler's method to parabolic equations (2009) (10)
- On the Theory of LIE-BÄCKLUND Transformation Groups (1980) (10)
- Effects of rotation on self-resonant internal gravity waves in the ocean (2010) (10)
- Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras (2016) (9)
- Group analysis of kinetic equations in a non-linear thermal transport problem (2015) (9)
- A solution to the problem of invariants for parabolic equations (2009) (9)
- Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics (2010) (9)
- Effect of resonant absorption in viscous and dry vibrating contact: Mathematical models and theory connected with slow dynamics and friction welding (2014) (9)
- INTEGRATION OF SYSTEMS OF FIRST-ORDER EQUATIONS ADMITTING NONLINEAR SUPERPOSITION (2009) (8)
- Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II (2007) (8)
- Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law (2007) (8)
- Approximate transformation groups (2008) (8)
- Conservation laws and solutions of a quantum drift-diffusion model for semiconductors (2015) (7)
- Group classification and conservation laws of anisotropic wave equations with a source (2016) (7)
- Group Theoretical Treatment of Fundamental Solutions (1994) (7)
- Integration of ordinary differential equation with a small parameter via approximate symmetries: Reduction of approximate symmetry algebra to a canonical form (2010) (7)
- Group classification and conservation laws of nonlinear filtration equation with a small parameter (2014) (7)
- Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions (2009) (6)
- Construction of Conservation Laws Using Symmetries (2014) (6)
- Rotationally symmetric internal gravity waves (2012) (6)
- Three-dimensional non-linear rotating surface waves in channels of variable depth in the presence of formation of a small perturbation of atmospheric pressure across the channel (2009) (6)
- Invariant Lagrangians and a new method of integration of nonlinear equations (2005) (5)
- LIE GROUP ANALYSIS OF MOFFATT'S MODEL IN METALLURGICAL INDUSTRY (2011) (5)
- Optimal system of invariant solutions for the Burgers equation (2008) (5)
- Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets (2014) (5)
- Conservation laws for two-phase filtration models (2014) (5)
- Conserved Vectors for a Model of Nonlinear Atmospheric Flows Around The Rotating Spherical Surface (2013) (5)
- Heat conduction in anisotropic media: Nonlinear self-adjointness and conservation laws (2012) (4)
- Conformal Invariance, Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations (1993) (4)
- Tensors and Riemannian geometry with applications to differential equations and relativity (2015) (4)
- An extension of the Noether theorem: Accompanying equations possessing conservation laws (2014) (4)
- GROUP ANALYSIS OF NONLINEAR INTERNAL WAVES IN OCEANS I: Self-adjointness, conservation laws, invariant solutions 1 (2011) (4)
- Integration of dynamical systems admitting nonlinear superposition (2016) (4)
- Conservation laws and invariant solutions of the non-linear governing equations associated with a thermodynamic model of a rotating detonation engines with Korobeinikov׳s chemical source term (2016) (3)
- Group analysis of stochastic differential systems : Approximate symmetries and conservation laws. (2004) (3)
- Lie–Bäcklund Symmetries of Submaximal Order of Ordinary Differential Equations (2002) (3)
- On conservation laws of electrodynamics (2007) (3)
- Classification and integration of four-dimensional dynamical systems admitting non-linear superposition (2017) (3)
- Memoir on Integration of Ordinary Differential [1.2ex] Equations by Quadrature (2011) (3)
- Group classification of ODE y‴=F(x, y, y′) (2014) (2)
- Linearization of second-order ordinary differential equations by changing the order (2007) (2)
- Nonlinear Whirlpools Versus Harmonic Waves in a Rotating Column of Stratified Fluid (2013) (2)
- A Bridge Between Lie Symmetries and Galois Groups (2009) (2)
- Comments on the paper "Conservation laws of the (2 + 1)-dimensional KP equation and Burgers equation with variable coefficients and cross terms" by Li-Hua Zhang (2014) (2)
- GROUP ANALYSIS OF NONLINEAR INTERNAL WAVES IN OCEANS III: Additional conservation laws 1 (2011) (2)
- Solutions of gasdynamic equations associated with classical and new conservation laws (2015) (2)
- Addendum to the paperDifferential invariants of nonlinear equations vtt=f(x,vx)vxx+g(x,vx) (2004) (2)
- Non-local conservation laws in fluid dynamics (2007) (2)
- Constructing exact solutions to anisotropic heat conduction equations by means of conservation laws (2012) (2)
- GROUP ANALYSIS OF NONLINEAR INTERNAL WAVES IN OCEANS II: The symmetries and rotationally invariant solution 1 (2011) (2)
- LOCAL AND NONLOCAL CONSERVED VECTORS FOR THE NONLINEAR FILTRATION EQUATION (2012) (2)
- Invariant solutions and shock atmospheric waves in a thin circular layer (2018) (1)
- SEMISCALAR REPRESENTATIONS OF THE LORENTZ GROUP AND PROPAGATION EQUATIONS (1995) (1)
- First-order partial differential equations (2009) (1)
- Three-dimensional dynamical systems with four-dimensional vessiot-guldberg-lie algebras (2017) (1)
- Extension of Laplace´s method (2006) (1)
- Covariant method for solution of Cauchy's problem based on Lie group analysis and Leray's form (2003) (1)
- Chaplygin gas motions associated with nonlocal conservation laws (2017) (1)
- Introductory Chapter Groups and Differential Equations (1985) (1)
- Archives of ALGA, volume 7/8 (2010) (1)
- Evolution equations of the second and third order with Lie-Bäcklund symmetries (2011) (1)
- Group classification of the characteristic initial value equations for a radiating axisymmetric, non-rotating, vacuum spacetime (2006) (1)
- Bifurcation of Nonlinear Conservation Laws from the Classical Energy Conservation Law for Internal Gravity Waves in Cylindrical Wave Field (2013) (1)
- Linear partial differential equations of the second order (2009) (1)
- Group analysis of the drift-diffusion model for quantum semiconductors (2015) (1)
- Approximate groups and renormgroup symmetries (2008) (0)
- Application of the new conservation theorem to gasdynamic equations (2007) (0)
- Generalization of Euler’s equations (2009) (0)
- Part I Local Transformation Groups (2013) (0)
- Introduction to Group Analysis of Differential Equations (2010) (0)
- Kadomtsev-Petviashvili equation: Nonlinear self-adjointness and conservation laws (2011) (0)
- Equations with Infinite Lie-Bäcklund Groups (1985) (0)
- 1. Classical Foundations (1979) (0)
- Ordinary differential equations: Traditional approach (2009) (0)
- 4. Some Applications of Bäcklund Transformations (1979) (0)
- A Special Type of Invariant Solutions and its Connection with Dispersion Relations (2013) (0)
- Linearization of Ordinary Differential Equations (1993) (0)
- Introduction to differential equations (2006) (0)
- One-parameter groups and their invariants (2013) (0)
- Chapter 9. Relativity in de Sitter space (2015) (0)
- Reconstruction and revival of historical zones of the city of Samarkand in architectural design of SAMGASI (2018) (0)
- Chapter 4. Motions in Riemannian spaces (2015) (0)
- Group analysis of reaction-diffusion models (2007) (0)
- Galois groups via symmetries (2013) (0)
- Chapter 6. Geometry of linear hyperbolic equations (2015) (0)
- Applications of group invariance methods to problems of transport phenomena (2008) (0)
- Computer Algebra Programs in Group Analysis and Education (2006) (0)
- Approximate and Invariant Solutions of a Mathematical Model Describing a Simple One-Dimensional Blood Flow of Variable Density (2017) (0)
- Previous MOGRAN Conferences (2001) (0)
- Lie algebras of operators (2013) (0)
- Assignment to Part II (2013) (0)
- N.H.Ibragimov. Selected works (2007) (0)
- Second-order ordinary differential equations equivalent to y''=H(y). (2007) (0)
- Conservation Laws in Thomas’s Model of Ion Exchange in a Heterogeneous Solution (2013) (0)
- Archives of ALGA : volume 9 (2004) (0)
- A discussion of conservation laws for over-determined systems with application to the Maxwell equations in vacuum. (2007) (0)
- Selected topics from analysis (2009) (0)
- Group analysis of the Novikov equation (2013) (0)
- Nonlinear partial differential equations (2009) (0)
- Chapter 5. Riemannian spaces associated with linear PDEs (2015) (0)
- Chapter 2. Conservation laws (2015) (0)
- A Group-Theoretical Approach to the Huygens Principle (1985) (0)
- An alternative presentation of the method of variation of parameters for higher-order equations (2010) (0)
- Massive Galactic Halos and Dark Matter: Unusua Properties of Neutrinos in the De Sitter Universe (1996) (0)
- Some Results About Self-Adjointness of a Class of Nonlinear Wave Equations (2021) (0)
- Adjoint system and conservation laws for symmetrized electromagnetic equations with a dual Ohm's law (2006) (0)
- Approximate representation of the de Sitter group (2007) (0)
- Generalized functions or distributions (2009) (0)
- Integration of second-order linear equations via linearization of Riccati's equations (2007) (0)
- Delay Differential Equations (2010) (0)
- Integration of ODE with a small parameter via approximate symmetries : reduction of approximate symmetry algebra to a canonical form (2007) (0)
- Plasma Kinetic Theory: Vlasov–Maxwell and Related Equations (2010) (0)
- The Boltzmann kinetic equation and various models (2010) (0)
- A survey on integration of parabolic equations by reducing them to the heat equation (2011) (0)
- Existence of integrating factors for higher-order ordinary differential equations (2007) (0)
- Introduction to Group Analysis and Invariant Solutions of Integro-Differential Equations (2010) (0)
- Chapter 1. Preliminaries (2015) (0)
- 2 2 6 A ug 2 00 2 Symmetries of Integro-Differential Equations : A Survey of Methods Illustrated by the Benney Equations (2008) (0)
- One-parameter continuous transformation groups admitted by differential equations (2013) (0)
- Chapter 3. Introduction of tensors and Riemannian spaces (2015) (0)
- Group classification and solutions of a mathematical model from tumour biology (2021) (0)
- Chapter 7. Solution of the initial value problem (2015) (0)
- The Problem of Invariants for Lie-Bäcklund Groups (1995) (0)
- 2. Tangent Transformation Groups (1979) (0)
- Conservation laws for symmetrised electromagnetic equations with a dual Ohm's law (2007) (0)
- Invariance principle and fundamental solutions (2009) (0)
- Chapter 8. Brief introduction to relativity (2015) (0)
- Groups admitted by differential equations (2013) (0)
- Introduction to the Theory of Lie-Bäcklund Groups (1985) (0)
- Lie algebras and local Lie groups (2013) (0)
- Louise Petrén and her generalization of Laplace’s method (2007) (0)
- Part II Approximate Transformation Groups (2013) (0)
- INTRODUCTION OF GROUP ANALYSIS TO MATHEMATICAL EDUCATION OF ENGINEERING STUDENTS (2012) (0)
- Nonlinear ordinary differential equations (2009) (0)
- Motions in Riemannian Spaces (1985) (0)
- 3. Application to Differential Equations (1979) (0)
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