Nail H. Ibragimov

Nail H. Ibragimov's AcademicInfluence.com Rankings

Nail H. Ibragimov

Mathematics

#7372

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#10038

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Mathematical Physics

#51

World Rank

#62

Historical Rank

Measure Theory

#2101

World Rank

#2543

Historical Rank

mathematics Degrees

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Mathematics

Nail H. Ibragimov's Degrees

PhD Mathematics Moscow State University

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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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Nail H. Ibragimov's AcademicInfluence.com Rankings