Edit Profile (opens in new tab) Ibragimov, Nail Hairullovich (b. 1939 d. 2018) Co-Author Distance Author ID: ibragimov.nail-h Published as: Ibragimov, Nail H.; Ibragimov, N. H.; Ibragimov, N. Kh.; Ibragimov, Nail Kh. more...less External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 180 Publications since 1968, including 21 Books and 7 Additional arXiv Preprints 10 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 63 Co-Authors with 121 Joint Publications 1,132 Co-Co-Authors all top 5 Co-Authors 68 single-authored 22 Gazizov, Rafail Kav’evich 15 Ibragimov, Ranis N. 13 Baikov, V. A. 11 Meleshko, Sergey V. 8 Avdonina, Elena D. 8 Torrisi, Mariano 7 Anderson, Robert Leonard 6 Akhatov, Iskander Sh. 6 Galiakberova, L. R. 6 Kovalev, Vladimir F. 5 Khamitova, Raisa 5 Shabat, Alekseĭ Borisovich 5 Valenti, Antonino 4 Gaĭnetdinova, Aliya Aĭdarovna 3 Gandarias Núñez, Maria Luz 3 Lukashchuk, Veronika Olegovna 3 Mahomed, Fazal M. 3 Mamontov, E. V. 3 Ovsyannikov, Lev Vasil’evich 3 Tracinà, Rita 3 Unal, Gazanfer 2 Aleksandrova, A. A. 2 Anco, Stephen C. 2 Berest, Yuri Yu. 2 Bobylev, Alexandre Vasiljévitch 2 Bozhkov, Yuri Dimitrov 2 Bruzón, Maria Santos 2 Imamutdinova, Ksenia V. 2 Nucci, Maria Clara 2 Oganesyan, Arthur Oganesovich 2 Rudenko, Oleg V. 2 Sophocleous, Christodoulos 2 Suksern, Supaporn 1 Aitbayev, Rakhim 1 Ames, William Francis 1 Araslanov, A. M. 1 Berkovich, Lev M. 1 Dimas, Stylianos 1 Dorodnitsyn, Vladimir A. 1 Ellis, George Francis Rayner 1 Freire, Igor Leite 1 Grigoriev, Yurii N. 1 Hereman, Willy A. 1 Jogréus, Claes 1 Kara, Abdul Hamid 1 Karimova, Elena N. 1 Khabirov, Salavat Valeevich 1 Kolsrud, Torbjörn 1 Kowalski, Oldřich 1 Lukashchuk, Stanislav Yur’evich 1 Maartens, Roy 1 Magri, Franco 1 Malomed, F. M. 1 Olver, Peter John 1 Pustovalov, Veniamin V. 1 Rogers, Colin 1 Säfström, Niklas 1 Sheftel, Mikhail B. 1 Svirshchevskii, Sergey R. 1 Thailert, Ekkarath 1 Thidé, Bo 1 Turbiner, Alexander 1 Vorob’ev, Evgenii M. 1 Voskresenskii, Valentin Evgen’evich 1 Wessels, Ewald J. H. 1 Wolf, Thomas Otto 1 Yakovenko, G. N. 1 Yakovlev, Andrey A. 1 Zheltova, I. S. 1 Zhiber, Anatoliĭ Vasil’evich all top 5 Serials 26 Communications in Nonlinear Science and Numerical Simulation 11 Soviet Mathematics. Doklady 11 Nonlinear Dynamics 9 Journal of Mathematical Analysis and Applications 7 Journal of Physics A: Mathematical and Theoretical 6 Lie Groups and their Applications 6 Mathematical Modelling of Natural Phenomena 5 Journal of Mathematical Physics 5 Discontinuity, Nonlinearity, and Complexity 3 Russian Mathematical Surveys 3 Applied Mathematics and Computation 3 Differential Equations 3 Mathematics of the USSR, Sbornik 3 Soviet Physics. Doklady 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya 2 Lobachevskii Journal of Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Classical and Quantum Gravity 1 Letters in Mathematical Physics 1 Physics Letters. A 1 The Mathematical Intelligencer 1 Bulletin of the Technical University of Istanbul 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Journal of Physics A: Mathematical and General 1 Pokroky Matematiky, Fyziky & Astronomie 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Mathematical Modeling and Computational Experiment 1 Computational and Applied Mathematics 1 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 1 Journal of Applied Mechanics and Technical Physics 1 Nonlinear Analysis. Real World Applications 1 Matematicheskoe Modelirovanie 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Physics 1 Mathematics and Its Applications. Soviet Series 1 SIAM Studies in Applied Mathematics 1 Translations. Series 2. American Mathematical Society 1 Wiley Series in Mathematical Methods in Practice 1 Series on Complexity, Nonlinearity, and Chaos 1 Journal of Applied Analysis and Computation 1 De Gruyter Textbook 1 De Gruyter Studium 1 Nonlinear Physical Science all top 5 Fields 126 Partial differential equations (35-XX) 45 Global analysis, analysis on manifolds (58-XX) 34 Fluid mechanics (76-XX) 33 Ordinary differential equations (34-XX) 17 Topological groups, Lie groups (22-XX) 11 Differential geometry (53-XX) 10 General and overarching topics; collections (00-XX) 10 Mechanics of particles and systems (70-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 History and biography (01-XX) 7 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 4 Nonassociative rings and algebras (17-XX) 4 Integral equations (45-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 4,138 times in 2,337 Documents Cited by ▼ Year ▼ CRC handbook of Lie group analysis of differential equations. Vol. 1: Symmetries, exact solutions and conservation laws. Zbl 0864.35001 493 1994 A new conservation theorem. Zbl 1160.35008 Ibragimov, Nail H. 399 2007 Elementary Lie group analysis and ordinary differential equations. Zbl 1047.34001 Ibragimov, Nail H. 359 1999 Transformation groups applied to mathematical physics. Transl. from the Russian. Zbl 0558.53040 Ibragimov, Nail Kh. 310 1985 CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003 203 1996 CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002 191 1995 Nonlinear self-adjointness and conservation laws. Zbl 1270.35031 Ibragimov, N. H. 168 2011 Transformation groups in mathematical physics. (Gruppy preobrazovanij v matematicheskoj fizike). Zbl 0529.53014 Ibragimov, N. Kh. 102 1983 Nonlocal symmetries. Heuristic approach. Zbl 0760.35002 Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 101 1989 Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006 Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. 93 2010 Lie symmetry analysis of differential equations in finance. Zbl 0929.35006 Gazizov, R. K.; Ibragimov, N. H. 92 1998 Integrating factors, adjoint equations and Lagrangians. Zbl 1102.34002 Ibragimov, Nail H. 79 2006 Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250 Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu. 79 2015 Preliminary group classification of equations \(v_{tt}=f(x,v_ x)v_{xx} +g(x,v_ x)\). Zbl 0737.35099 Ibragimov, N. H.; Torrisi, M.; Valenti, A. 78 1991 Lie-Bäcklund transformations in applications. Zbl 0447.58001 Anderson, Robert L.; Ibragimov, Nail H. 70 1979 Approximate symmetries. Zbl 0683.35004 Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H. 58 1989 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011 Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 54 1998 Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003 Ibragimov, Nail H.; Meleshko, Sergey V. 51 2005 Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws. Zbl 1286.35013 Ibragimov, N. H.; Avdonina, E. D. 44 2013 Perturbation methods in group analysis. Zbl 0759.35003 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh. 41 1989 Group analysis of ordinary differential equations and the invariance principle in mathematical physics. Zbl 0848.34006 Ibragimov, N. Kh. 41 1992 Evolutionary equations with nontrivial Lie-Bäcklund group. Zbl 0473.35007 Ibragimov, N. Kh.; Shabat, A. B. 37 1980 Lagrangian approach to evolution equations: symmetries and conservation laws. Zbl 1106.70012 Ibragimov, N. H.; Kolsrud, T. 35 2004 Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115 Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 33 2011 Approximate and renormgroup symmetries. Zbl 1170.22001 Ibragimov, Nail H.; Kovalev, Vladimir F. 31 2009 Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439 Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H. 27 2009 Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174 Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 27 2010 A simple method for group analysis and its application to a model of detonation. Zbl 0761.35104 Ibragimov, N. H.; Torrisi, M. 26 1992 Integration of third order ordinary differential equations by Lie’s method: Equations admitting three-dimensional Lie algebras. Zbl 0921.34015 Ibragimov, Nail H.; Nucci, Maria Clara 25 1994 Laplace type invariants for parabolic equations. Zbl 1065.35010 Ibragimov, N. H. 25 2002 Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029 Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn 25 2008 Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012 Ibragimov, N. Kh. 20 2004 Group analysis of the Novikov equation. Zbl 1308.76228 Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H. 19 2014 Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations. Zbl 1023.45008 Ibragimov, N. H.; Kovalev, V. F.; Pustovalov, V. V. 18 2002 Lie-Bäcklund tangent transformations. Zbl 0355.35004 Ibragimov, Nail H.; Anderson, Robert L. 18 1977 Group classification of the equations of nonlinar filtration. Zbl 0632.76004 Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 17 1987 Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175 Ibragimov, N. H.; Khamitova, R. S.; Valenti, A. 17 2011 Infinte Lie-Bäcklund algebras. Zbl 0462.35049 Ibragimov, N. Kh.; Shabat, A. B. 16 1981 Selected works. Volume I: Lie group analysis, differential equations, Riemannian geometry, Lie-Bäcklund groups, mathematical physics. Zbl 1307.01020 Ibragimov, Nail H. 15 2006 Geometric proof of Lie’s linearization theorem. Zbl 1087.34515 Ibragimov, Nail H.; Magri, Franco 14 2004 A practical course in differential equations and mathematical modelling. Classical and new methods. Nonlinear mathematical models. Symmetry and invariance principles. Zbl 1227.00035 Ibragimov, Nail H. 14 2010 Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028 Ibragimov, N. H. 13 2012 Exact solutions of gasdynamic equations obtained by the method of conservation laws. Zbl 1304.35528 Avdonina, Elena D.; Ibragimov, Nail H.; Khamitova, Raisa 13 2013 Equivalence groups for balance equations. Zbl 0809.35053 Ibragimov, N. H.; Torrisi, M. 12 1994 Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064 Ibragimov, Nail H.; Ünal, Gazanfer; Jogréus, Claes 12 2004 Application of Lie group analysis in geophysical fluid dynamics. Zbl 1240.76001 Ibragimov, Nail H.; Ibragimov, Ranis N. 12 2011 Equations of Liouville type. Zbl 0455.35007 Zhiber, A. V.; Ibragimov, N. Kh.; Shabat, A. B. 12 1979 Transformation groups and Lie algebras. Zbl 1301.34050 Ibragimov, Nail H. 12 2013 Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003 Avdonina, Elena D.; Ibragimov, Nail H. 12 2013 On infinite Lie-Bäcklund algebras. Zbl 0452.35053 Ibragimov, N. Kh.; Shabat, A. B. 12 1980 Nonlocal symmetries. Heuristic approach. Zbl 0722.35004 Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 12 1989 Approximate groups of transformations. Zbl 0826.35004 Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H. 11 1993 The Korteweg-de Vries equation from the point of view of transformation groups. Zbl 0423.35076 Ibragimov, N. Kh.; Shabat, A. B. 11 1979 Symmetries and conservation laws of the generalized Krichever-Novikov equation. Zbl 1359.37127 Anco, S. C.; Avdonina, E. D.; Gainetdinova, A.; Galiakberova, L. R.; Ibragimov, N. H.; Wolf, T. 11 2016 Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410 Gandarias, Maria Luz; Ibragimov, Nail H. 11 2008 Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058 Ibragimov, N. H.; Sophocleous, C. 11 2007 Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005 Ibragimov, N. H. 10 2002 Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). Zbl 1035.35081 Ibragimov, N. H.; Torrisi, M.; Valenti, A. 10 2004 Closed orbits and their stable symmetries. Zbl 0826.70007 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M. 9 1994 The experience of group analysis of ordinary differential equations. (Opyt gruppovogo analiza obyknovennykh differentsial’nykh uravnenij.) Zbl 0791.34001 Ibragimov, N. Kh. 9 1991 Group theoretical nature of conservation theorems. Zbl 0346.35074 Ibragimov, Nail H. 9 1977 Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell. Zbl 1254.76125 Ibragimov, Nail H.; Ibragimov, Ranis N. 9 2011 The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017 Ibragimov, Nail H.; Säfström, Niklas 8 2004 Sur l’équivalence des équations d’évolution, qui admettent une algèbre de Lie-Bäcklund infinie. Zbl 0482.35047 Ibragimov, Nail Kh. 8 1981 Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002 Ovsyannikov, L. V. 8 2013 Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105 Suksern, S.; Meleshko, S. V.; Ibragimov, N. H. 8 2009 Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics. Zbl 0974.76580 Bobylev, A. V.; Ibragimov, N. Kh. 7 1989 Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167 Ibragimov, Nail H. 7 2018 Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256 Ibragimov, N. H. 7 2010 Invariants of linear parabolic differential equations. Zbl 1130.35074 Ibragimov, N. H.; Meleshko, S. V.; Thailert, E. 7 2008 Bianchi-Lie, Bäcklund, and Lie-Bäcklund transformations. Zbl 0424.53004 Anderson, R. L.; Ibragimov, Nail H. 7 1978 Water redistribution in irrigated soil profiles: Invariant solutions of the governing equation. Zbl 0887.76075 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Kovalev, V. F. 6 1997 The hierarchy of Huygens equations in spaces with a non-trivial conformal group. Zbl 0778.35067 Ibragimov, N. Kh.; Oganesyan, A. O. 6 1991 Approximate symmetries and solutions of the Kompaneets equation. Zbl 1297.35183 Gazizov, R. K.; Ibragimov, N. Kh. 6 2014 Lie group analysis: Classical heritage. Translated by Nail H. Ibragimov, Elena D. Ishmakova, Roza M. Yakushina. Zbl 1307.35008 6 2004 Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085 Ibragimov, N. H.; Gainetdinova, A. A. 6 2016 Continuation of approximate transformation groups via multiple time scales method. Zbl 0957.70022 Baikov, V. A.; Ibragimov, N. H. 6 2000 Contact transformation group classification of nonlinear wave equations. Zbl 0957.35011 Ibragimov, N. H.; Khabirov, S. V. 6 2000 Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028 Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V. 6 2011 Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1261.35127 Bozhkov, Y.; Dimas, S.; Ibragimov, N. H. 6 2013 Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth. Zbl 0795.01008 Ibragimov, Nail H. 5 1994 Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024 Ibragimov, N. H. 5 2009 Nonlinear self-adjointness of the Krichever-Novikov equation. Zbl 1344.35124 Galiakberova, L. R.; Ibragimov, N. H. 5 2014 Group classification and conservation laws of nonlinear filtration equation with a small parameter. Zbl 1344.35087 Alexandrova, A. A.; Ibragimov, N. H.; Lukashchuk, V. O. 5 2014 Group classification and conservation laws of anisotropic wave equations with a source. Zbl 1346.74095 Ibragimov, N. H.; Gandarias, M. L.; Galiakberova, L. R.; Bruzon, M. S.; Avdonina, E. D. 5 2016 On the group classification of differential equations of second order. Zbl 0181.10601 Ibragimov, N. Kh. 5 1968 Conservation laws in hydrodynamics. Zbl 0291.76010 Ibragimov, N. Kh. 5 1973 Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184 Ibragimov, N. H.; Ibragimov, R. N. 5 2012 Zur Theorie der Lie-Bäcklundschen Transformationsgruppen. Zbl 0411.58024 Ibragimov, N. Kh. 5 1979 Methods of perturbations in group analysis. Zbl 0722.35005 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh. 5 1989 Lie groups in turbulence: I. Kolmogorov’s invariant and the algebra \(L_\tau\). Zbl 0938.35592 Ibragimov, Nail H.; Ünal, Gazanfer 4 1994 Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Zbl 0782.00073 4 1993 Groups of Lie-Bäcklund contact transformations. Zbl 0338.53025 Ibragimov, N. Kh.; Anderson, R. L. 4 1976 Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046 Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V. 4 2014 Sur le problème de J. Hadamard rélatif à la diffusion des ondes. Zbl 0196.12004 Ibragimov, N. Kh.; Mamontov, E. V. 4 1970 Local and nonlocal conserved vectors for the nonlinear filtration equation. Zbl 1299.76248 Alexandrova, A. A.; Ibragimov, N. H.; Imamutdinova, K. V.; Lukashchuk, V. O. 4 2012 Invariants for evolution equations. Zbl 1094.35008 Ibragimov, N. H.; Sophocleous, C. 4 2004 Extension of Euler’s method to parabolic equations. Zbl 1221.35184 Ibragimov, N. H. 4 2009 Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form. Zbl 1266.34057 Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, V. O. 4 2010 Symmetries, Lagrangian and conservation laws for the Maxwell equations. Zbl 1181.35279 Ibragimov, Nail H. 4 2009 Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167 Ibragimov, Nail H. 7 2018 Invariant solutions and shock atmospheric waves in a thin circular layer. Zbl 1408.35194 Ibragimov, Nail H.; Ibragimov, Ranis N.; Kovalev, Vladimir F. 1 2018 Three-dimensional dynamical systems with four-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1474.34253 Ibragimov, Nail H.; Gainetdinova, Aliya A. 1 2017 Symmetries and conservation laws of the generalized Krichever-Novikov equation. Zbl 1359.37127 Anco, S. C.; Avdonina, E. D.; Gainetdinova, A.; Galiakberova, L. R.; Ibragimov, N. H.; Wolf, T. 11 2016 Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085 Ibragimov, N. H.; Gainetdinova, A. A. 6 2016 Group classification and conservation laws of anisotropic wave equations with a source. Zbl 1346.74095 Ibragimov, N. H.; Gandarias, M. L.; Galiakberova, L. R.; Bruzon, M. S.; Avdonina, E. D. 5 2016 Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250 Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu. 79 2015 Group analysis of the drift-diffusion model for quantum semiconductors. Zbl 1308.81172 Ibragimov, N. H.; Khamitova, R.; Avdonina, E. D.; Galiakberova, L. R. 3 2015 Solutions of gasdynamic equations associated with classical and new conservation laws. Zbl 1410.35079 Anco, Stephen; Ibragimov, Nail H.; Imamutdinova, Ksenia V.; Karimova, Elena N. 2 2015 Tensors and Riemannian geometry. With applications to differential equations. Zbl 1338.53002 Ibragimov, Nail H. 1 2015 Group analysis of the Novikov equation. Zbl 1308.76228 Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H. 19 2014 Approximate symmetries and solutions of the Kompaneets equation. Zbl 1297.35183 Gazizov, R. K.; Ibragimov, N. Kh. 6 2014 Nonlinear self-adjointness of the Krichever-Novikov equation. Zbl 1344.35124 Galiakberova, L. R.; Ibragimov, N. H. 5 2014 Group classification and conservation laws of nonlinear filtration equation with a small parameter. Zbl 1344.35087 Alexandrova, A. A.; Ibragimov, N. H.; Lukashchuk, V. O. 5 2014 Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046 Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V. 4 2014 An extension of the Noether theorem: accompanying equations possessing conservation laws. Zbl 1344.35004 Dorodnitsyn, V. A.; Ibragimov, N. H. 3 2014 Effect of resonant absorption in viscous and dry vibrating contact: mathematical models and theory connected with slow dynamics and friction welding. Zbl 1344.74042 Gazizov, R. K.; Ibragimov, N. H.; Rudenko, O. V. 3 2014 Construction of conservation laws using symmetries. Zbl 1306.76037 Ibragimov, Nail H. 2 2014 Symmetries and conservation laws of a spectral nonlinear model for atmospheric baroclinic jets. Zbl 1302.76201 Ibragimov, N. H.; Ibragimov, R. N.; Galiakberova, L. R. 2 2014 Conservation laws for two-phase filtration models. Zbl 1344.76080 Baikov, V. A.; Ibragimov, N. H.; Zheltova, I. S.; Yakovlev, A. A. 2 2014 Selected works. Volume V: Advanced topics to be added to my textbook, a practical course in differential equations and mathematical modelling. Zbl 1314.01039 Ibragimov, Nail H. 1 2014 Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws. Zbl 1286.35013 Ibragimov, N. H.; Avdonina, E. D. 44 2013 Exact solutions of gasdynamic equations obtained by the method of conservation laws. Zbl 1304.35528 Avdonina, Elena D.; Ibragimov, Nail H.; Khamitova, Raisa 13 2013 Transformation groups and Lie algebras. Zbl 1301.34050 Ibragimov, Nail H. 12 2013 Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003 Avdonina, Elena D.; Ibragimov, Nail H. 12 2013 Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002 Ovsyannikov, L. V. 8 2013 Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1261.35127 Bozhkov, Y.; Dimas, S.; Ibragimov, N. H. 6 2013 Bifurcation of nonlinear conservation laws from the classical energy conservation law for internal gravity waves in cylindrical wave field. Zbl 1282.76192 Ibragimov, N. H.; Ibragimov, R. N. 1 2013 Conserved vectors for a model of nonlinear atmospheric flows around the rotating spherical surface. Zbl 1260.35133 Araslanov, A. M.; Galiakberova, L. R.; Ibragimov, N. H.; Ibragimov, R. N. 1 2013 Nonlinear whirlpools versus harmonic waves in a rotating column of stratified fluid. Zbl 1262.35181 Ibragimov, N. H.; Ibragimov, R. N. 1 2013 Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028 Ibragimov, N. H. 13 2012 Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184 Ibragimov, N. H.; Ibragimov, R. N. 5 2012 Local and nonlocal conserved vectors for the nonlinear filtration equation. Zbl 1299.76248 Alexandrova, A. A.; Ibragimov, N. H.; Imamutdinova, K. V.; Lukashchuk, V. O. 4 2012 Heat conduction in anisotropic media: nonlinear self-adjointness and conservation laws. Zbl 1288.35272 Ibragimov, Nail H.; Avdonina, Elena D. 3 2012 On infinitesimal reciprocal-type transformations in gas dynamics. Lie group connections and nonlinear self-adjointness. Zbl 1299.76215 Ibragimov, N. H.; Rogers, C. 2 2012 Nonlinear self-adjointness and conservation laws. Zbl 1270.35031 Ibragimov, N. H. 168 2011 Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115 Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 33 2011 Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175 Ibragimov, N. H.; Khamitova, R. S.; Valenti, A. 17 2011 Application of Lie group analysis in geophysical fluid dynamics. Zbl 1240.76001 Ibragimov, Nail H.; Ibragimov, Ranis N. 12 2011 Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell. Zbl 1254.76125 Ibragimov, Nail H.; Ibragimov, Ranis N. 9 2011 Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028 Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V. 6 2011 Lie group analysis of Moffatt’s model in metallurgical industry. Zbl 1362.35303 Ibragimov, N. H. 3 2011 Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006 Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. 93 2010 Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174 Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 27 2010 A practical course in differential equations and mathematical modelling. Classical and new methods. Nonlinear mathematical models. Symmetry and invariance principles. Zbl 1227.00035 Ibragimov, Nail H. 14 2010 Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256 Ibragimov, N. H. 7 2010 Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form. Zbl 1266.34057 Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, V. O. 4 2010 Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics. Zbl 1222.86003 Ibragimov, Nail H.; Ibragimov, Ranis N. 2 2010 Approximate and renormgroup symmetries. Zbl 1170.22001 Ibragimov, Nail H.; Kovalev, Vladimir F. 31 2009 Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439 Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H. 27 2009 Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105 Suksern, S.; Meleshko, S. V.; Ibragimov, N. H. 8 2009 Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024 Ibragimov, N. H. 5 2009 Extension of Euler’s method to parabolic equations. Zbl 1221.35184 Ibragimov, N. H. 4 2009 Symmetries, Lagrangian and conservation laws for the Maxwell equations. Zbl 1181.35279 Ibragimov, Nail H. 4 2009 A solution to the problem of invariants for parabolic equations. Zbl 1221.35025 Ibragimov, N. H.; Meleshko, S. V. 4 2009 Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions. Zbl 1221.34087 Ibragimov, Nail H.; Ibragimov, Ranis N. 4 2009 Selected works. Volume IV: Equivalence groups and invariants of differential equations, extension of Euler’s method, to parabolic equations, invariant and formal Lagrangians, conservation laws. Zbl 1314.01038 Ibragimov, Nail H. 3 2009 A bridge between Lie symmetries and Galois groups. Zbl 1210.12002 Ibragimov, Nail H. 1 2009 Transformation groups and Lie algebras. Zbl 1314.22001 Ibragimov, Nail H. 1 2009 Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029 Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn 25 2008 Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410 Gandarias, Maria Luz; Ibragimov, Nail H. 11 2008 Invariants of linear parabolic differential equations. Zbl 1130.35074 Ibragimov, N. H.; Meleshko, S. V.; Thailert, E. 7 2008 Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Zbl 1221.34088 Ibragimov, Nail H.; Meleshko, Sergey V. 3 2008 Selected works. Volume III: Doctor of Science thesis, approximate symmetries, Lie groups in mathematical modelling. Zbl 1314.01037 Ibragimov, Nail H. 1 2008 A new conservation theorem. Zbl 1160.35008 Ibragimov, Nail H. 399 2007 Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058 Ibragimov, N. H.; Sophocleous, C. 11 2007 Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I. Zbl 1129.34029 Ibragimov, Nail H.; Meleshko, Sergey V. 2 2007 Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law. Zbl 1144.81360 Ibragimov, Nail H.; Khamitova, Raisa; Thidé, Bo 1 2007 Integrating factors, adjoint equations and Lagrangians. Zbl 1102.34002 Ibragimov, Nail H. 79 2006 Selected works. Volume I: Lie group analysis, differential equations, Riemannian geometry, Lie-Bäcklund groups, mathematical physics. Zbl 1307.01020 Ibragimov, Nail H. 15 2006 Selected works. Volume II: MSc and PhD theses, nonlocal symmetries, approximate symmetries, preliminary group classification, Lie group analysis – a microscope of mathematical modelling. Zbl 1307.01021 Ibragimov, Nail H. 2 2006 Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003 Ibragimov, Nail H.; Meleshko, Sergey V. 51 2005 Invariant Lagrangians and a new method of integration of nonlinear equations. Zbl 1070.58019 Ibragimov, Nail H. 2 2005 Lagrangian approach to evolution equations: symmetries and conservation laws. Zbl 1106.70012 Ibragimov, N. H.; Kolsrud, T. 35 2004 Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012 Ibragimov, N. Kh. 20 2004 Geometric proof of Lie’s linearization theorem. Zbl 1087.34515 Ibragimov, Nail H.; Magri, Franco 14 2004 Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064 Ibragimov, Nail H.; Ünal, Gazanfer; Jogréus, Claes 12 2004 Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). Zbl 1035.35081 Ibragimov, N. H.; Torrisi, M.; Valenti, A. 10 2004 The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017 Ibragimov, Nail H.; Säfström, Niklas 8 2004 Lie group analysis: Classical heritage. Translated by Nail H. Ibragimov, Elena D. Ishmakova, Roza M. Yakushina. Zbl 1307.35008 6 2004 Invariants for evolution equations. Zbl 1094.35008 Ibragimov, N. H.; Sophocleous, C. 4 2004 Differential invariants of nonlinear equations \(v_{tt}\)=\(f\)(\(x\),\(v_{x}\))\(v_{xx}\)+\(g\)(\(x\),\(v_{x}\)). Zbl 1046.35074 Ibragimov, N. H.; Torrisi, M.; Valenti, A. 1 2004 Covariant method for solution of Cauchy’s problem based on Lie group analysis and Leray’s form. Zbl 1031.35004 Ibragimov, Nail H. 1 2003 Laplace type invariants for parabolic equations. Zbl 1065.35010 Ibragimov, N. H. 25 2002 Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations. Zbl 1023.45008 Ibragimov, N. H.; Kovalev, V. F.; Pustovalov, V. V. 18 2002 Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005 Ibragimov, N. H. 10 2002 Lie–Bäcklund symmetries of submaximal order of ordinary differential equations. Zbl 1015.34025 Ibragimov, N. H.; Svirshchevskii, S. R. 2 2002 Continuation of approximate transformation groups via multiple time scales method. Zbl 0957.70022 Baikov, V. A.; Ibragimov, N. H. 6 2000 Contact transformation group classification of nonlinear wave equations. Zbl 0957.35011 Ibragimov, N. H.; Khabirov, S. V. 6 2000 Elementary Lie group analysis and ordinary differential equations. Zbl 1047.34001 Ibragimov, Nail H. 359 1999 Lie symmetry analysis of differential equations in finance. Zbl 0929.35006 Gazizov, R. K.; Ibragimov, N. H. 92 1998 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011 Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 54 1998 Water redistribution in irrigated soil profiles: Invariant solutions of the governing equation. Zbl 0887.76075 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Kovalev, V. F. 6 1997 CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003 203 1996 CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002 191 1995 Semiscalar representations of the Lorentz group and propagation equations. Zbl 0869.22014 Ibragimov, Nail H.; Maartens, Roy 1 1995 CRC handbook of Lie group analysis of differential equations. Vol. 1: Symmetries, exact solutions and conservation laws. Zbl 0864.35001 493 1994 Integration of third order ordinary differential equations by Lie’s method: Equations admitting three-dimensional Lie algebras. Zbl 0921.34015 Ibragimov, Nail H.; Nucci, Maria Clara 25 1994 Equivalence groups for balance equations. Zbl 0809.35053 Ibragimov, N. H.; Torrisi, M. 12 1994 Closed orbits and their stable symmetries. Zbl 0826.70007 Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M. 9 1994 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,938 Authors 82 Khalique, Chaudry Masood 66 Meleshko, Sergey V. 54 Bruzón, Maria Santos 53 Gandarias Núñez, Maria Luz 52 Ibragimov, Nail Hairullovich 52 Mahomed, Fazal M. 49 Kara, Abdul Hamid 42 Sophocleous, Christodoulos 39 Popovych, Roman O. 35 Freire, Igor Leite 35 Leach, Peter Gavin Lawrence 24 Dorodnitsyn, Vladimir A. 24 Özer, Teoman 23 Nucci, Maria Clara 23 Qadir, Asghar 22 Tracinà, Rita 22 Zaman, Fiazud Din 20 Mustafa, Muhammad Tahir 20 Nadjafikhah, Mehdi 20 Qu, Changzheng 19 Inc, Mustafa 19 Wang, Gangwei 18 Govinder, Keshlan Sathasiva 18 Moitsheki, Raseelo J. 18 Oliveri, Francesco 18 Polyanin, Andrei Dmitrievich 18 Tian, Shoufu 18 Zhang, Zhiyong 17 Băleanu, Dumitru I. 17 Gazizov, Rafail Kav’evich 17 Johnpillai, Andrew Gratien 17 Muriel, Concepción 17 Paliathanasis, Andronikos 17 Zhang, Yufeng 16 Senthilvelan, Murugaian 16 Yaşar, Emrullah 16 Yusuf, Abdullahi A. 15 Al-Dweik, Ahmad Y. 15 Azad, Hassan 15 Bluman, George Wallace 15 Bokhari, Ashfaque H. 15 Bozhkov, Yuri Dimitrov 15 Gupta, Rajesh Kumar 15 Ivanova, Nataliya M. 15 Torrisi, Mariano 15 Xin, Xiangpeng 15 Zhang, Tiantian 15 Zhdanov, Renat Z. 14 Cheviakov, Alexei F. 14 Liu, Jiangen 14 Momoniat, Ebrahim 14 Oberlack, Martin 13 Ibragimov, Ranis N. 13 Mason, David Paul 13 Muatjetjeja, Ben 12 Anco, Stephen C. 12 Bihlo, Alexander 12 Feroze, Tooba 12 Huang, Qing 12 Jamal, Sameerah 12 Ruiz, Adrián Tonatiuh 12 Speciale, Maria Paola 12 Winternitz, Pavel 11 Adem, Abdullahi Rashid 11 Aliyu, Aliyu Isa 11 Khabibullin, Ismagil Talgatovich 11 Jhangeer, Adil 11 Khakimova, Aĭgul’ Rinatovna 11 Lakshmanan, Muthusamy 11 Shen, Shoufeng 11 Yang, Xiao-Jun 11 Zedan, Hassan A. 10 de Lucas, Javier 10 Hashemi, Mir Sajjad 10 Hussain, Ibrar 10 Kaptsov, Oleg Viktorovich 10 Kozlov, Roman V. 10 Liu, Hanze 10 Sahadevan, Ramajayam 10 Vaneeva, Olena O. 9 Abdulwahhab, Muhammad Alim 9 Ali, Sajid 9 Belinchón, José Antonio 9 Biswas, Anjan 9 Chen, Yong 9 Cherniha, Roman M. 9 Cicogna, Giampaolo 9 Kovalev, Vladimir F. 9 Lukashchuk, Stanislav Yur’evich 9 Naeem, Imran 9 Olver, Peter John 8 Adeyemo, Oke Davies 8 Broadbridge, Philip 8 Dyshaev, Mikhaĭl Mikhaĭlovich 8 Fakhar, Kamran 8 Fëdorov, Vladimir Evgen’evich 8 Feng, Yiying 8 Fokas, Athanassios 8 Gao, Ben 8 Gorgone, Matteo ...and 1,838 more Authors all top 5 Cited in 317 Serials 205 Communications in Nonlinear Science and Numerical Simulation 114 Journal of Nonlinear Mathematical Physics 108 Journal of Mathematical Analysis and Applications 100 Journal of Mathematical Physics 100 Applied Mathematics and Computation 67 Mathematical Methods in the Applied Sciences 64 Nonlinear Dynamics 49 Journal of Geometry and Physics 46 International Journal of Geometric Methods in Modern Physics 42 Physics Letters. 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Modelling and Control 6 Mediterranean Journal of Mathematics 6 Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 6 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 5 Acta Mechanica 5 Physics Reports 5 Functional Analysis and its Applications 5 Journal of Soviet Mathematics 5 European Journal of Applied Mathematics 5 International Journal of Computer Mathematics 5 Continuum Mechanics and Thermodynamics 5 Journal of Mathematical Chemistry 5 Malaysian Journal of Mathematical Sciences 5 Applied Mathematics and Nonlinear Sciences 5 Journal of Siberian Federal University. Mathematics & Physics 4 Modern Physics Letters A 4 Communications in Mathematical Physics 4 Journal of Computational Physics 4 Journal of Statistical Physics 4 Wave Motion 4 Applied Mathematics and Mechanics. (English Edition) 4 Discrete and Continuous Dynamical Systems 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 4 International Journal of Differential Equations 4 Arabian Journal of Mathematics 4 Journal of Function Spaces 3 Computers and Fluids ...and 217 more Serials all top 5 Cited in 56 Fields 1,525 Partial differential equations (35-XX) 453 Fluid mechanics (76-XX) 391 Dynamical systems and ergodic theory (37-XX) 346 Ordinary differential equations (34-XX) 238 Global analysis, analysis on manifolds (58-XX) 174 Mechanics of particles and systems (70-XX) 112 Topological groups, Lie groups (22-XX) 96 Relativity and gravitational theory (83-XX) 88 Mechanics of deformable solids (74-XX) 86 Numerical analysis (65-XX) 84 Quantum theory (81-XX) 82 Nonassociative rings and algebras (17-XX) 73 Differential geometry (53-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Statistical mechanics, structure of matter (82-XX) 51 Biology and other natural sciences (92-XX) 49 Real functions (26-XX) 49 Computer science (68-XX) 39 Integral equations (45-XX) 39 Optics, electromagnetic theory (78-XX) 36 Classical thermodynamics, heat transfer (80-XX) 34 Probability theory and stochastic processes (60-XX) 27 Operator theory (47-XX) 26 Geophysics (86-XX) 19 Difference and functional equations (39-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Systems theory; control (93-XX) 11 Special functions (33-XX) 9 Manifolds and cell complexes (57-XX) 8 Group theory and generalizations (20-XX) 8 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 7 General topology (54-XX) 5 Field theory and polynomials (12-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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