Edit Profile (opens in new tab) Ibragimov, Nail Hairullovich Compute Distance To: Compute 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: 173 Publications since 1968, including 21 Books 10 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 62 Co-Authors with 118 Joint Publications 1,055 Co-Co-Authors all top 5 Co-Authors 64 single-authored 22 Gazizov, Rafail Kav’evich 13 Baikov, V. A. 12 Ibragimov, Ranis N. 11 Meleshko, Sergey V. 8 Avdonina, Elena D. 8 Torrisi, Mariano 7 Anderson, Robert Leonard 6 Akhatov, Iskander Sh. 6 Galiakberova, L. R. 5 Khamitova, Raisa 5 Kovalev, Vladimir F. 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, Evgenij M. 1 Voskresenskii, Valentin Evgen’evich 1 Wessels, Ewald J. H. 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 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) 6 Geophysics (86-XX) 4 Nonassociative rings and algebras (17-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-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 140 Publications have been cited 2,679 times in 1,581 Documents Cited by ▼ Year ▼ A new conservation theorem. Zbl 1160.35008Ibragimov, Nail H. 291 2007 Elementary Lie group analysis and ordinary differential equations. Zbl 1047.34001Ibragimov, Nail H. 273 1999 CRC handbook of Lie group analysis of differential equations. Vol. 1: Symmetries, exact solutions and conservation laws. Zbl 0864.35001 245 1994 Nonlinear self-adjointness and conservation laws. Zbl 1270.35031Ibragimov, N. H. 128 2011 Transformation groups applied to mathematical physics. Transl. from the Russian. Zbl 0558.53040Ibragimov, Nail Kh. 112 1985 CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002 95 1995 Nonlocal symmetries. Heuristic approach. Zbl 0760.35002Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 90 1989 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 77 1996 Preliminary group classification of equations \(v_{tt}=f(x,v_ x)v_{xx} +g(x,v_ x)\). Zbl 0737.35099Ibragimov, N. H.; Torrisi, M.; Valenti, A. 67 1991 Lie symmetry analysis of differential equations in finance. Zbl 0929.35006Gazizov, R. K.; Ibragimov, N. H. 65 1998 Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. 59 2010 Integrating factors, adjoint equations and Lagrangians. Zbl 1102.34002Ibragimov, Nail H. 57 2006 Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu. 53 2015 Lie-Bäcklund transformations in applications. Zbl 0447.58001Anderson, Robert L.; Ibragimov, Nail H. 48 1979 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 42 1998 Transformation groups in mathematical physics. (Gruppy preobrazovanij v matematicheskoj fizike). Zbl 0529.53014Ibragimov, N. Kh. 40 1983 Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003Ibragimov, Nail H.; Meleshko, Sergey V. 40 2005 Approximate symmetries. Zbl 0683.35004Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H. 36 1989 Group analysis of ordinary differential equations and the invariance principle in mathematical physics. Zbl 0848.34006Ibragimov, N. Kh. 31 1992 Lagrangian approach to evolution equations: symmetries and conservation laws. Zbl 1106.70012Ibragimov, N. H.; Kolsrud, T. 31 2004 Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws. Zbl 1286.35013Ibragimov, N. H.; Avdonina, E. D. 31 2013 Perturbation methods in group analysis. Zbl 0759.35003Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh. 29 1989 Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 29 2011 Evolutionary equations with nontrivial Lie-Bäcklund group. Zbl 0473.35007Ibragimov, N. Kh.; Shabat, A. B. 24 1980 Laplace type invariants for parabolic equations. Zbl 1065.35010Ibragimov, N. H. 24 2002 Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H. 24 2009 Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 22 2010 Approximate and renormgroup symmetries. Zbl 1170.22001Ibragimov, Nail H.; Kovalev, Vladimir F. 21 2009 Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn 20 2008 A simple method for group analysis and its application to a model of detonation. Zbl 0761.35104Ibragimov, N. H.; Torrisi, M. 19 1992 Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175Ibragimov, N. H.; Khamitova, R. S.; Valenti, A. 17 2011 Group analysis of the Novikov equation. Zbl 1308.76228Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H. 16 2014 Group classification of the equations of nonlinar filtration. Zbl 0632.76004Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 15 1987 Infinte Lie-Bäcklund algebras. Zbl 0462.35049Ibragimov, N. Kh.; Shabat, A. B. 14 1981 Integration of third order ordinary differential equations by Lie’s method: Equations admitting three-dimensional Lie algebras. Zbl 0921.34015Ibragimov, Nail H.; Nucci, Maria Clara 14 1994 Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations. Zbl 1023.45008Ibragimov, N. H.; Kovalev, V. F.; Pustovalov, V. V. 14 2002 Lie-Bäcklund tangent transformations. Zbl 0355.35004Ibragimov, Nail H.; Anderson, Robert L. 14 1977 Exact solutions of gasdynamic equations obtained by the method of conservation laws. Zbl 1304.35528Avdonina, Elena D.; Ibragimov, Nail H.; Khamitova, Raisa 13 2013 Application of Lie group analysis in geophysical fluid dynamics. Zbl 1240.76001Ibragimov, Nail H.; Ibragimov, Ranis N. 12 2011 Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410Gandarias, Maria Luz; Ibragimov, Nail H. 11 2008 Geometric proof of Lie’s linearization theorem. Zbl 1087.34515Ibragimov, Nail H.; Magri, Franco 11 2004 Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064Ibragimov, Nail H.; Ünal, Gazanfer; Jogréus, Claes 11 2004 Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003Avdonina, Elena D.; Ibragimov, Nail H. 11 2013 Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058Ibragimov, N. H.; Sophocleous, C. 10 2007 Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). Zbl 1035.35081Ibragimov, N. H.; Torrisi, M.; Valenti, A. 10 2004 Symmetries and conservation laws of the generalized Krichever-Novikov equation. Zbl 1359.37127Anco, S. C.; Avdonina, E. D.; Gainetdinova, A.; Galiakberova, L. R.; Ibragimov, N. H.; Wolf, T. 10 2016 Equivalence groups for balance equations. Zbl 0809.35053Ibragimov, N. H.; Torrisi, M. 9 1994 Nonlocal symmetries. Heuristic approach. Zbl 0722.35004Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh. 9 1989 Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005Ibragimov, N. H. 9 2002 The Korteweg-de Vries equation from the point of view of transformation groups. Zbl 0423.35076Ibragimov, N. Kh.; Shabat, A. B. 9 1979 A practical course in differential equations and mathematical modelling. Classical and new methods. Nonlinear mathematical models. Symmetry and invariance principles. Zbl 1227.00035Ibragimov, Nail H. 8 2010 The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017Ibragimov, Nail H.; Säfström, Niklas 8 2004 Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell. Zbl 1254.76125Ibragimov, Nail H.; Ibragimov, Ranis N. 8 2011 Group theoretical nature of conservation theorems. Zbl 0346.35074Ibragimov, Nail H. 8 1977 Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028Ibragimov, N. H. 8 2012 Approximate groups of transformations. Zbl 0826.35004Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H. 7 1993 Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics. Zbl 0974.76580Bobylev, A. V.; Ibragimov, N. Kh. 7 1989 On infinite Lie-Bäcklund algebras. Zbl 0452.35053Ibragimov, N. Kh.; Shabat, A. B. 7 1980 The experience of group analysis of ordinary differential equations. (Opyt gruppovogo analiza obyknovennykh differentsial’nykh uravnenij.) Zbl 0791.34001Ibragimov, N. Kh. 7 1991 Continuation of approximate transformation groups via multiple time scales method. Zbl 0957.70022Baikov, V. A.; Ibragimov, N. H. 7 2000 Closed orbits and their stable symmetries. Zbl 0826.70007Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M. 7 1994 Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012Ibragimov, N. Kh. 7 2004 Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256Ibragimov, N. H. 7 2010 Bianchi-Lie, Bäcklund, and Lie-Bäcklund transformations. Zbl 0424.53004Anderson, R. L.; Ibragimov, Nail H. 7 1978 Equations of Liouville type. Zbl 0455.35007Zhiber, A. V.; Ibragimov, N. Kh.; Shabat, A. B. 6 1979 Sur l’équivalence des équations d’évolution, qui admettent une algèbre de Lie-Bäcklund infinie. Zbl 0482.35047Ibragimov, Nail Kh. 6 1981 Contact transformation group classification of nonlinear wave equations. Zbl 0957.35011Ibragimov, N. H.; Khabirov, S. V. 6 2000 Water redistribution in irrigated soil profiles: Invariant solutions of the governing equation. Zbl 0887.76075Baikov, 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 0778.35067Ibragimov, N. Kh.; Oganesyan, A. O. 6 1991 Invariants of linear parabolic differential equations. Zbl 1130.35074Ibragimov, N. H.; Meleshko, S. V.; Thailert, E. 6 2008 Approximate symmetries and solutions of the Kompaneets equation. Zbl 1297.35183Gazizov, R. K.; Ibragimov, N. Kh. 6 2014 Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105Suksern, S.; Meleshko, S. V.; Ibragimov, N. H. 6 2009 Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth. Zbl 0795.01008Ibragimov, Nail H. 5 1994 Nonlinear self-adjointness of the Krichever-Novikov equation. Zbl 1344.35124Galiakberova, L. R.; Ibragimov, N. H. 5 2014 Group classification and conservation laws of nonlinear filtration equation with a small parameter. Zbl 1344.35087Alexandrova, A. A.; Ibragimov, N. H.; Lukashchuk, V. O. 5 2014 Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085Ibragimov, N. H.; Gainetdinova, A. A. 5 2016 Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V. 5 2011 Transformation groups and Lie algebras. Zbl 1301.34050Ibragimov, Nail H. 5 2013 Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1261.35127Bozhkov, Y.; Dimas, S.; Ibragimov, N. H. 5 2013 Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167Ibragimov, Nail H. 4 2018 Local and nonlocal conserved vectors for the nonlinear filtration equation. Zbl 1299.76248Alexandrova, A. A.; Ibragimov, N. H.; Imamutdinova, K. V.; Lukashchuk, V. O. 4 2012 Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form. Zbl 1266.34057Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, V. O. 4 2010 Extension of Euler’s method to parabolic equations. Zbl 1221.35184Ibragimov, N. H. 4 2009 A solution to the problem of invariants for parabolic equations. Zbl 1221.35025Ibragimov, N. H.; Meleshko, S. V. 4 2009 Sur le problème de J. Hadamard rélatif à la diffusion des ondes. Zbl 0196.12004Ibragimov, N. Kh.; Mamontov, E. V. 4 1970 Group classification and conservation laws of anisotropic wave equations with a source. Zbl 1346.74095Ibragimov, N. H.; Gandarias, M. L.; Galiakberova, L. R.; Bruzon, M. S.; Avdonina, E. D. 4 2016 Group theoretic determination of fundamental solutions. Zbl 0924.35007Berest, Yuri Yu.; Ibragimov, Nail H. 3 1994 Lie groups in turbulence: I. Kolmogorov’s invariant and the algebra \(L_\tau\). Zbl 0938.35592Ibragimov, Nail H.; Ünal, Gazanfer 3 1994 Methods of perturbations in group analysis. Zbl 0722.35005Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh. 3 1989 Invariants for evolution equations. Zbl 1094.35008Ibragimov, N. H.; Sophocleous, C. 3 2004 On the Cauchy problem for the equation \(u_{tt}-u_{xx}-\sum^{n- 1}_{i,j=1}a_{ij}(x-t)u_{yy_j}=0\). Zbl 0386.35027Ibragimov, N. Kh.; Mamontov, E. V. 3 1977 Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024Ibragimov, N. H. 3 2009 Lie group analysis of Moffatt’s model in metallurgical industry. Zbl 1362.35303Ibragimov, N. H. 3 2011 Equivalence transformations of Navier-Stokes equations. Zbl 0862.35085Ibragimov, Nail H.; Ünal, Gazanfer 3 1994 Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions. Zbl 1221.34087Ibragimov, Nail H.; Ibragimov, Ranis N. 3 2009 Conservation laws in hydrodynamics. Zbl 0291.76010Ibragimov, N. Kh. 3 1973 Groups of Lie-Bäcklund contact transformations. Zbl 0338.53025Ibragimov, N. Kh.; Anderson, R. L. 3 1976 Über das Cauchy-Problem für die Gleichung \(U_{tt}-U_{xx}-\sum^{n- 1}_{i,j=1}a_{ij}(x-t)U_{y_iy_j}=0\). Zbl 0356.35055Ibragimov, N. Kh.; Mamontov, E. V. 3 1977 On the group classification of differential equations of second order. Zbl 0181.10601Ibragimov, N. Kh. 3 1968 Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184Ibragimov, N. H.; Ibragimov, R. N. 3 2012 Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167Ibragimov, Nail H. 4 2018 Invariant solutions and shock atmospheric waves in a thin circular layer. Zbl 1408.35194Ibragimov, Nail H.; Ibragimov, Ranis N.; Kovalev, Vladimir F. 1 2018 Symmetries and conservation laws of the generalized Krichever-Novikov equation. Zbl 1359.37127Anco, S. C.; Avdonina, E. D.; Gainetdinova, A.; Galiakberova, L. R.; Ibragimov, N. H.; Wolf, T. 10 2016 Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085Ibragimov, N. H.; Gainetdinova, A. A. 5 2016 Group classification and conservation laws of anisotropic wave equations with a source. Zbl 1346.74095Ibragimov, N. H.; Gandarias, M. L.; Galiakberova, L. R.; Bruzon, M. S.; Avdonina, E. D. 4 2016 Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu. 53 2015 Group analysis of the drift-diffusion model for quantum semiconductors. Zbl 1308.81172Ibragimov, N. H.; Khamitova, R.; Avdonina, E. D.; Galiakberova, L. R. 2 2015 Solutions of gasdynamic equations associated with classical and new conservation laws. Zbl 1410.35079Anco, Stephen; Ibragimov, Nail H.; Imamutdinova, Ksenia V.; Karimova, Elena N. 1 2015 Group analysis of the Novikov equation. Zbl 1308.76228Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H. 16 2014 Approximate symmetries and solutions of the Kompaneets equation. Zbl 1297.35183Gazizov, R. K.; Ibragimov, N. Kh. 6 2014 Nonlinear self-adjointness of the Krichever-Novikov equation. Zbl 1344.35124Galiakberova, L. R.; Ibragimov, N. H. 5 2014 Group classification and conservation laws of nonlinear filtration equation with a small parameter. Zbl 1344.35087Alexandrova, A. A.; Ibragimov, N. H.; Lukashchuk, V. O. 5 2014 Construction of conservation laws using symmetries. Zbl 1306.76037Ibragimov, Nail H. 2 2014 Conservation laws for two-phase filtration models. Zbl 1344.76080Baikov, V. A.; Ibragimov, N. H.; Zheltova, I. S.; Yakovlev, A. A. 2 2014 Symmetries and conservation laws of a spectral nonlinear model for atmospheric baroclinic jets. Zbl 1302.76201Ibragimov, N. H.; Ibragimov, R. N.; Galiakberova, L. R. 2 2014 Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V. 2 2014 An extension of the Noether theorem: accompanying equations possessing conservation laws. Zbl 1344.35004Dorodnitsyn, V. A.; Ibragimov, N. H. 1 2014 Effect of resonant absorption in viscous and dry vibrating contact: mathematical models and theory connected with slow dynamics and friction welding. Zbl 1344.74042Gazizov, R. K.; Ibragimov, N. H.; Rudenko, O. V. 1 2014 Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws. Zbl 1286.35013Ibragimov, N. H.; Avdonina, E. D. 31 2013 Exact solutions of gasdynamic equations obtained by the method of conservation laws. Zbl 1304.35528Avdonina, Elena D.; Ibragimov, Nail H.; Khamitova, Raisa 13 2013 Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003Avdonina, Elena D.; Ibragimov, Nail H. 11 2013 Transformation groups and Lie algebras. Zbl 1301.34050Ibragimov, Nail H. 5 2013 Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1261.35127Bozhkov, Y.; Dimas, S.; Ibragimov, N. H. 5 2013 Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002Ovsyannikov, L. V. 2 2013 Conserved vectors for a model of nonlinear atmospheric flows around the rotating spherical surface. Zbl 1260.35133Araslanov, A. M.; Galiakberova, L. R.; Ibragimov, N. H.; Ibragimov, R. N. 1 2013 Bifurcation of nonlinear conservation laws from the classical energy conservation law for internal gravity waves in cylindrical wave field. Zbl 1282.76192Ibragimov, N. H.; Ibragimov, R. N. 1 2013 Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028Ibragimov, N. H. 8 2012 Local and nonlocal conserved vectors for the nonlinear filtration equation. Zbl 1299.76248Alexandrova, A. A.; Ibragimov, N. H.; Imamutdinova, K. V.; Lukashchuk, V. O. 4 2012 Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184Ibragimov, N. H.; Ibragimov, R. N. 3 2012 Heat conduction in anisotropic media: nonlinear self-adjointness and conservation laws. Zbl 1288.35272Ibragimov, Nail H.; Avdonina, Elena D. 3 2012 Nonlinear self-adjointness and conservation laws. Zbl 1270.35031Ibragimov, N. H. 128 2011 Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 29 2011 Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175Ibragimov, N. H.; Khamitova, R. S.; Valenti, A. 17 2011 Application of Lie group analysis in geophysical fluid dynamics. Zbl 1240.76001Ibragimov, 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 1254.76125Ibragimov, Nail H.; Ibragimov, Ranis N. 8 2011 Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V. 5 2011 Lie group analysis of Moffatt’s model in metallurgical industry. Zbl 1362.35303Ibragimov, N. H. 3 2011 Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. 59 2010 Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174Ibragimov, N. H.; Torrisi, M.; Tracinà, R. 22 2010 A practical course in differential equations and mathematical modelling. Classical and new methods. Nonlinear mathematical models. Symmetry and invariance principles. Zbl 1227.00035Ibragimov, Nail H. 8 2010 Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256Ibragimov, 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 1266.34057Gazizov, 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 1222.86003Ibragimov, Nail H.; Ibragimov, Ranis N. 2 2010 Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H. 24 2009 Approximate and renormgroup symmetries. Zbl 1170.22001Ibragimov, Nail H.; Kovalev, Vladimir F. 21 2009 Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105Suksern, S.; Meleshko, S. V.; Ibragimov, N. H. 6 2009 Extension of Euler’s method to parabolic equations. Zbl 1221.35184Ibragimov, N. H. 4 2009 A solution to the problem of invariants for parabolic equations. Zbl 1221.35025Ibragimov, N. H.; Meleshko, S. V. 4 2009 Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024Ibragimov, N. H. 3 2009 Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions. Zbl 1221.34087Ibragimov, Nail H.; Ibragimov, Ranis N. 3 2009 Symmetries, Lagrangian and conservation laws for the Maxwell equations. Zbl 1181.35279Ibragimov, Nail H. 2 2009 Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn 20 2008 Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410Gandarias, Maria Luz; Ibragimov, Nail H. 11 2008 Invariants of linear parabolic differential equations. Zbl 1130.35074Ibragimov, N. H.; Meleshko, S. V.; Thailert, E. 6 2008 Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Zbl 1221.34088Ibragimov, Nail H.; Meleshko, Sergey V. 2 2008 A new conservation theorem. Zbl 1160.35008Ibragimov, Nail H. 291 2007 Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058Ibragimov, N. H.; Sophocleous, C. 10 2007 Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I. Zbl 1129.34029Ibragimov, Nail H.; Meleshko, Sergey V. 2 2007 Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law. Zbl 1144.81360Ibragimov, Nail H.; Khamitova, Raisa; Thidé, Bo 1 2007 Integrating factors, adjoint equations and Lagrangians. Zbl 1102.34002Ibragimov, Nail H. 57 2006 Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003Ibragimov, Nail H.; Meleshko, Sergey V. 40 2005 Invariant Lagrangians and a new method of integration of nonlinear equations. Zbl 1070.58019Ibragimov, Nail H. 2 2005 Lagrangian approach to evolution equations: symmetries and conservation laws. Zbl 1106.70012Ibragimov, N. H.; Kolsrud, T. 31 2004 Geometric proof of Lie’s linearization theorem. Zbl 1087.34515Ibragimov, Nail H.; Magri, Franco 11 2004 Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064Ibragimov, Nail H.; Ünal, Gazanfer; Jogréus, Claes 11 2004 Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). Zbl 1035.35081Ibragimov, N. H.; Torrisi, M.; Valenti, A. 10 2004 The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017Ibragimov, Nail H.; Säfström, Niklas 8 2004 Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012Ibragimov, N. Kh. 7 2004 Invariants for evolution equations. Zbl 1094.35008Ibragimov, N. H.; Sophocleous, C. 3 2004 Lie group analysis: Classical heritage. Translated by Nail H. Ibragimov, Elena D. Ishmakova, Roza M. Yakushina. Zbl 1307.35008 3 2004 Covariant method for solution of Cauchy’s problem based on Lie group analysis and Leray’s form. Zbl 1031.35004Ibragimov, Nail H. 1 2003 Laplace type invariants for parabolic equations. Zbl 1065.35010Ibragimov, N. H. 24 2002 Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations. Zbl 1023.45008Ibragimov, N. H.; Kovalev, V. F.; Pustovalov, V. V. 14 2002 Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005Ibragimov, N. H. 9 2002 Lie–Bäcklund symmetries of submaximal order of ordinary differential equations. Zbl 1015.34025Ibragimov, N. H.; Svirshchevskii, S. R. 2 2002 Continuation of approximate transformation groups via multiple time scales method. Zbl 0957.70022Baikov, V. A.; Ibragimov, N. H. 7 2000 Contact transformation group classification of nonlinear wave equations. Zbl 0957.35011Ibragimov, N. H.; Khabirov, S. V. 6 2000 Elementary Lie group analysis and ordinary differential equations. Zbl 1047.34001Ibragimov, Nail H. 273 1999 Lie symmetry analysis of differential equations in finance. Zbl 0929.35006Gazizov, R. K.; Ibragimov, N. H. 65 1998 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 42 1998 Water redistribution in irrigated soil profiles: Invariant solutions of the governing equation. Zbl 0887.76075Baikov, 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 77 1996 CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002 95 1995 Semiscalar representations of the Lorentz group and propagation equations. Zbl 0869.22014Ibragimov, 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 245 1994 Integration of third order ordinary differential equations by Lie’s method: Equations admitting three-dimensional Lie algebras. Zbl 0921.34015Ibragimov, Nail H.; Nucci, Maria Clara 14 1994 Equivalence groups for balance equations. Zbl 0809.35053Ibragimov, N. H.; Torrisi, M. 9 1994 Closed orbits and their stable symmetries. Zbl 0826.70007Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M. 7 1994 Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth. Zbl 0795.01008Ibragimov, Nail H. 5 1994 Group theoretic determination of fundamental solutions. Zbl 0924.35007Berest, Yuri Yu.; Ibragimov, Nail H. 3 1994 Lie groups in turbulence: I. Kolmogorov’s invariant and the algebra \(L_\tau\). Zbl 0938.35592Ibragimov, Nail H.; Ünal, Gazanfer 3 1994 Equivalence transformations of Navier-Stokes equations. Zbl 0862.35085Ibragimov, Nail H.; Ünal, Gazanfer 3 1994 Small effects in physics hinted by the Lie group philosophy: Are they observable? I: From Galilean principle to heat diffusion. Zbl 0964.35508Ibragimov, Nail H. 1 1994 Group theoretical treatment of fundamental solutions. Zbl 0834.35008Ibragimov, N. H. 1 1994 Approximate groups of transformations. Zbl 0826.35004Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H. 7 1993 Seven miniatures on group analysis. Zbl 0831.35006Ibragimov, N. Kh. 2 1993 Relationships between the symmetry properties of the equations of gas kinetics and hydrodynamics. Zbl 1039.82507Bobylëv, A. V.; Ibragimov, N. Kh. 1 1993 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 1 1993 Group analysis of ordinary differential equations and the invariance principle in mathematical physics. Zbl 0848.34006Ibragimov, N. Kh. 31 1992 A simple method for group analysis and its application to a model of detonation. Zbl 0761.35104Ibragimov, N. H.; Torrisi, M. 19 1992 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,362 Authors 51 Khalique, Chaudry Masood 49 Ibragimov, Nail Hairullovich 44 Mahomed, Fazal M. 39 Meleshko, Sergey V. 38 Bruzón, Maria Santos 36 Gandarias Núñez, Maria Luz 35 Sophocleous, Christodoulos 34 Kara, Abdul Hamid 26 Freire, Igor Leite 23 Popovych, Roman O. 21 Leach, Peter Gavin Lawrence 20 Özer, Teoman 20 Qadir, Asghar 18 Tracinà, Rita 17 Qu, Changzheng 16 Gazizov, Rafail Kav’evich 16 Moitsheki, Raseelo J. 15 Mustafa, Muhammad Tahir 15 Zaman, Fiazud Din 15 Zhang, Zhiyong 14 Băleanu, Dumitru I. 14 Nadjafikhah, Mehdi 14 Yaşar, Emrullah 13 Ibragimov, Ranis N. 13 Ivanova, Nataliya M. 12 Bluman, George W. 12 Bokhari, Ashfaque H. 12 Govinder, Keshlan Sathasiva 12 Momoniat, Ebrahim 12 Nucci, Maria Clara 12 Polyanin, Andrei Dmitrievich 12 Wang, Gangwei 12 Zhang, Yufeng 11 Al-Dweik, Ahmad Y. 11 Azad, Hassan 11 Cheviakov, Alexei F. 11 Dorodnitsyn, Vladimir A. 11 Gupta, Rajesh Kumar 11 Johnpillai, Andrew Gratien 11 Oliveri, Francesco 11 Paliathanasis, Andronikos 11 Senthilvelan, Murugaian 11 Tian, Shoufu 11 Xin, Xiangpeng 11 Zhdanov, Renat Z. 10 Muriel, Concepción 10 Speciale, Maria Paola 10 Torrisi, Mariano 10 Yusuf, Abdullahi A. 9 Anco, Stephen C. 9 Bozhkov, Yuri Dimitrov 9 Feroze, Tooba 9 Inc, Mustafa 9 Lakshmanan, Muthusamy 9 Mason, David Paul 9 Muatjetjeja, Ben 9 Oberlack, Martin 9 Winternitz, Pavel 8 Abdulwahhab, Muhammad Alim 8 Ali, Sajid 8 Aliyu, Aliyu Isa 8 Belinchón, José Antonio 8 Bihlo, Alexander 8 Hussain, Ibrar 8 Jhangeer, Adil 8 Liu, Jiangen 8 Lukashchuk, Stanislav Yur’evich 8 Ma, Wen-Xiu 8 Mironov, Alekseĭ Nikolaevich 8 Rashidi, Saeede 8 Ruiz, Adrián Tonatiuh 8 Sahadevan, Ramajayam 8 Sinkala, Winter 7 Adem, Abdullahi Rashid 7 Ali, Farhad 7 Chen, Yong 7 Dyshaev, Mikhaĭl Mikhaĭlovich 7 Fakhar, Kamran 7 Fëdorov, Vladimir Evgen’evich 7 Gaĭnetdinova, Aliya Aĭdarovna 7 Garrido, Tamara Maria 7 Huang, Dingjiang 7 Huang, Qing 7 Jamal, Sameerah 7 Liu, Hanze 7 Liu, Xiqiang 7 Meshkov, Anatoly G. 7 Naeem, Imran 7 Olver, Peter John 7 Reza Hejazi, S. 7 Ruggieri, Marianna 7 Serov, Mykola I. 7 Vaneeva, Olena O. 7 Wei, Long 7 Yang, Xiao-Jun 7 Zedan, Hassan A. 6 Bagderina, Yuliya Yur’evna 6 Baikov, V. A. 6 Biswas, Anjan 6 Chen, Yufu ...and 1,262 more Authors all top 5 Cited in 264 Serials 127 Communications in Nonlinear Science and Numerical Simulation 91 Journal of Mathematical Physics 83 Applied Mathematics and Computation 68 Journal of Mathematical Analysis and Applications 68 Journal of Nonlinear Mathematical Physics 61 Nonlinear Dynamics 35 Nonlinear Analysis. Real World Applications 33 Acta Applicandae Mathematicae 29 Theoretical and Mathematical Physics 29 Journal of Geometry and Physics 26 Chaos, Solitons and Fractals 26 Abstract and Applied Analysis 20 Computers & Mathematics with Applications 20 International Journal of Geometric Methods in Modern Physics 19 Journal of Engineering Mathematics 17 Applied Mathematics Letters 17 Journal of Applied Mathematics 17 Advances in Difference Equations 17 Advances in Mathematical Physics 16 Journal of Computational and Applied Mathematics 15 Mathematical Methods in the Applied Sciences 15 Quaestiones Mathematicae 14 Physics Letters. 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