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Ibragimov, Nail Hairullovich

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Published as: Ibragimov, Nail H.; Ibragimov, N. H.; Ibragimov, N. Kh.; Ibragimov, Nail Kh.
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Co-Authors

64 single-authored
22 Gazizov, Rafail Kav’evich
12 Ibragimov, Ranis N.
11 Meleshko, Sergey V.
10 Baikov, V. A.
8 Avdonina, Elena D.
8 Torrisi, Mariano
6 Akhatov, Iskander Sh.
6 Galiakberova, L. R.
5 Kovalev, Vladimir F.
5 Shabat, Alekseĭ Borisovich
4 Anderson, Robert Leonard
4 Gaĭnetdinova, Aliya Aĭdarovna
3 Gandarias Núñez, Maria Luz
3 Khamitova, Raisa
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 Khamitova, R. S.
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 Valenti, Antonino
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

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 2,524 times in 1,502 Documents Cited by Year
Elementary Lie group analysis and ordinary differential equations. Zbl 1047.34001
Ibragimov, Nail H.
268
1999
A new conservation theorem. Zbl 1160.35008
Ibragimov, Nail H.
261
2007
CRC handbook of Lie group analysis of differential equations. Vol. 1: Symmetries, exact solutions and conservation laws. Zbl 0864.35001
229
1994
Nonlinear self-adjointness and conservation laws. Zbl 1270.35031
Ibragimov, N. H.
112
2011
Transformation groups applied to mathematical physics. Transl. from the Russian. Zbl 0558.53040
Ibragimov, Nail Kh.
110
1985
CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002
88
1995
Nonlocal symmetries. Heuristic approach. Zbl 0760.35002
Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh.
88
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
74
1996
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.
64
1991
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
61
1998
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.
55
2010
Integrating factors, adjoint equations and Lagrangians. Zbl 1102.34002
Ibragimov, Nail H.
52
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.
47
2015
Lie-Bäcklund transformations in applications. Zbl 0447.58001
Anderson, Robert L.; Ibragimov, Nail H.
46
1979
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
42
1998
Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003
Ibragimov, Nail H.; Meleshko, Sergey V.
40
2005
Transformation groups in mathematical physics. (Gruppy preobrazovanij v matematicheskoj fizike). Zbl 0529.53014
Ibragimov, N. Kh.
40
1983
Approximate symmetries. Zbl 0683.35004
Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H.
31
1989
Lagrangian approach to evolution equations: symmetries and conservation laws. Zbl 1106.70012
Ibragimov, N. H.; Kolsrud, T.
30
2004
Group analysis of ordinary differential equations and the invariance principle in mathematical physics. Zbl 0848.34006
Ibragimov, N. Kh.
29
1992
Perturbation methods in group analysis. Zbl 0759.35003
Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh.
28
1989
Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115
Ibragimov, N. H.; Torrisi, M.; Tracinà, R.
27
2011
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.
25
2013
Laplace type invariants for parabolic equations. Zbl 1065.35010
Ibragimov, N. H.
23
2002
Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439
Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H.
23
2009
Evolutionary equations with nontrivial Lie-Bäcklund group. Zbl 0473.35007
Ibragimov, N. Kh.; Shabat, A. B.
21
1980
Approximate and renormgroup symmetries. Zbl 1170.22001
Ibragimov, Nail H.; Kovalev, Vladimir F.
21
2009
Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174
Ibragimov, N. H.; Torrisi, M.; Tracinà, R.
21
2010
Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029
Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn
20
2008
A simple method for group analysis and its application to a model of detonation. Zbl 0761.35104
Ibragimov, N. H.; Torrisi, M.
18
1992
Group classification of the equations of nonlinar filtration. Zbl 0632.76004
Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh.
15
1987
Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175
Ibragimov, N. H.; Khamitova, R. S.; Valenti, A.
15
2011
Group analysis of the Novikov equation. Zbl 1308.76228
Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H.
14
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.
14
2002
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
Infinte Lie-Bäcklund algebras. Zbl 0462.35049
Ibragimov, N. Kh.; Shabat, A. B.
13
1981
Lie-Bäcklund tangent transformations. Zbl 0355.35004
Ibragimov, Nail H.; Anderson, Robert L.
13
1977
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
12
1994
Application of Lie group analysis in geophysical fluid dynamics. Zbl 1240.76001
Ibragimov, Nail H.; Ibragimov, Ranis N.
12
2011
Geometric proof of Lie’s linearization theorem. Zbl 1087.34515
Ibragimov, Nail H.; Magri, Franco
11
2004
Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003
Avdonina, Elena D.; Ibragimov, Nail H.
11
2013
Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064
Ibragimov, 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 1035.35081
Ibragimov, N. H.; Torrisi, M.; Valenti, A.
10
2004
Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058
Ibragimov, N. H.; Sophocleous, C.
10
2007
Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410
Gandarias, Maria Luz; Ibragimov, Nail H.
10
2008
Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005
Ibragimov, N. H.
9
2002
Equivalence groups for balance equations. Zbl 0809.35053
Ibragimov, N. H.; Torrisi, M.
9
1994
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.
9
2016
Nonlocal symmetries. Heuristic approach. Zbl 0722.35004
Akhatov, I. Sh.; Gazizov, R. K.; Ibragimov, N. Kh.
9
1989
Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028
Ibragimov, N. H.
8
2012
Group theoretical nature of conservation theorems. Zbl 0346.35074
Ibragimov, Nail H.
8
1977
The Korteweg-de Vries equation from the point of view of transformation groups. Zbl 0423.35076
Ibragimov, N. Kh.; Shabat, A. B.
8
1979
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.
8
2011
On infinite Lie-Bäcklund algebras. Zbl 0452.35053
Ibragimov, N. Kh.; Shabat, A. B.
7
1980
Approximate groups of transformations. Zbl 0826.35004
Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H.
7
1993
Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012
Ibragimov, N. Kh.
7
2004
The experience of group analysis of ordinary differential equations. (Opyt gruppovogo analiza obyknovennykh differentsial’nykh uravnenij.) Zbl 0791.34001
Ibragimov, N. Kh.
7
1991
Bianchi-Lie, Bäcklund, and Lie-Bäcklund transformations. Zbl 0424.53004
Anderson, R. L.; Ibragimov, Nail H.
7
1978
Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256
Ibragimov, N. H.
7
2010
Equations of Liouville type. Zbl 0455.35007
Zhiber, A. V.; Ibragimov, N. Kh.; Shabat, A. B.
6
1979
The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017
Ibragimov, Nail H.; Säfström, Niklas
6
2004
Sur l’équivalence des équations d’évolution, qui admettent une algèbre de Lie-Bäcklund infinie. Zbl 0482.35047
Ibragimov, Nail Kh.
6
1981
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
Closed orbits and their stable symmetries. Zbl 0826.70007
Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M.
6
1994
Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics. Zbl 0974.76580
Bobylev, A. V.; Ibragimov, N. Kh.
6
1989
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
Approximate symmetries and solutions of the Kompaneets equation. Zbl 1297.35183
Gazizov, R. K.; Ibragimov, N. Kh.
6
2014
Invariants of linear parabolic differential equations. Zbl 1130.35074
Ibragimov, N. H.; Meleshko, S. V.; Thailert, E.
6
2008
Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105
Suksern, S.; Meleshko, S. V.; Ibragimov, N. H.
6
2009
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.
6
2010
The hierarchy of Huygens equations in spaces with a non-trivial conformal group. Zbl 0778.35067
Ibragimov, N. Kh.; Oganesyan, A. O.
6
1991
Transformation groups and Lie algebras. Zbl 1301.34050
Ibragimov, Nail H.
5
2013
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
Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085
Ibragimov, N. H.; Gainetdinova, A. A.
5
2016
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.
4
2013
Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167
Ibragimov, Nail H.
4
2018
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
Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth. Zbl 0795.01008
Ibragimov, Nail H.
4
1994
Sur le problème de J. Hadamard rélatif à la diffusion des ondes. Zbl 0196.12004
Ibragimov, N. Kh.; Mamontov, E. V.
4
1970
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.
4
2011
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
Lie groups in turbulence: I. Kolmogorov’s invariant and the algebra \(L_\tau\). Zbl 0938.35592
Ibragimov, Nail H.; Ünal, Gazanfer
3
1994
Equivalence transformations of Navier-Stokes equations. Zbl 0862.35085
Ibragimov, Nail H.; Ünal, Gazanfer
3
1994
Heat conduction in anisotropic media: nonlinear self-adjointness and conservation laws. Zbl 1288.35272
Ibragimov, Nail H.; Avdonina, Elena D.
3
2012
Invariants for evolution equations. Zbl 1094.35008
Ibragimov, 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
Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184
Ibragimov, N. H.; Ibragimov, R. N.
3
2012
Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024
Ibragimov, N. H.
3
2009
Lie group analysis of Moffatt’s model in metallurgical industry. Zbl 1362.35303
Ibragimov, N. H.
3
2011
Methods of perturbations in group analysis. Zbl 0722.35005
Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. Kh.
3
1989
On the group classification of differential equations of second order. Zbl 0181.10601
Ibragimov, N. Kh.
3
1968
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 0356.35055
Ibragimov, N. Kh.; Mamontov, E. V.
3
1977
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 0386.35027
Ibragimov, N. Kh.; Mamontov, E. V.
3
1977
Zur Theorie der Lie-Bäcklundschen Transformationsgruppen. Zbl 0411.58024
Ibragimov, N. Kh.
3
1979
Groups of Lie-Bäcklund contact transformations. Zbl 0338.53025
Ibragimov, N. Kh.; Anderson, R. L.
3
1976
Extension of Euler’s method to parabolic equations. Zbl 1221.35184
Ibragimov, N. H.
3
2009
A solution to the problem of invariants for parabolic equations. Zbl 1221.35025
Ibragimov, N. H.; Meleshko, S. V.
3
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.
3
2009
Conservation laws and non-invariant solutions of anisotropic wave equations with a source. Zbl 1382.35167
Ibragimov, Nail H.
4
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
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.
9
2016
Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras. Zbl 1343.34085
Ibragimov, N. H.; Gainetdinova, A. A.
5
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.
2
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.
47
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.
2
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.
1
2015
Group analysis of the Novikov equation. Zbl 1308.76228
Bozhkov, Yuri; Freire, Igor Leite; Ibragimov, Nail H.
14
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
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
Construction of conservation laws using symmetries. Zbl 1306.76037
Ibragimov, Nail H.
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
An extension of the Noether theorem: accompanying equations possessing conservation laws. Zbl 1344.35004
Dorodnitsyn, 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 1344.74042
Gazizov, R. K.; Ibragimov, N. H.; Rudenko, O. V.
1
2014
Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046
Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V.
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.
25
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
Conservation laws and exact solutions for nonlinear diffusion in anisotropic media. Zbl 1306.35003
Avdonina, Elena D.; Ibragimov, Nail H.
11
2013
Transformation groups and Lie algebras. Zbl 1301.34050
Ibragimov, Nail H.
5
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.
4
2013
Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002
Ovsyannikov, L. V.
2
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
Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028
Ibragimov, N. H.
8
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
Applications of Lie group analysis to mathematical modelling in natural sciences. Zbl 1253.35184
Ibragimov, N. H.; Ibragimov, R. N.
3
2012
Nonlinear self-adjointness and conservation laws. Zbl 1270.35031
Ibragimov, N. H.
112
2011
Self-adjointness and conservation laws of a generalized Burgers equation. Zbl 1216.35115
Ibragimov, N. H.; Torrisi, M.; Tracinà, R.
27
2011
Self-adjointness of a generalized Camassa-Holm equation. Zbl 1246.35175
Ibragimov, N. H.; Khamitova, R. S.; Valenti, A.
15
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.
8
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.
4
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.
55
2010
Quasi self-adjoint nonlinear wave equations. Zbl 1206.35174
Ibragimov, N. H.; Torrisi, M.; Tracinà, R.
21
2010
Time-dependent exact solutions of the nonlinear Kompaneets equation. Zbl 1205.35256
Ibragimov, N. H.
7
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.
6
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
Self-adjoint sub-classes of generalized thin film equations. Zbl 1170.35439
Bruzón, Maria Santos; Gandarias, Maria Luz; Ibragimov, Nail H.
23
2009
Approximate and renormgroup symmetries. Zbl 1170.22001
Ibragimov, Nail H.; Kovalev, Vladimir F.
21
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.
6
2009
Integration of systems of first-order equations admitting nonlinear superposition. Zbl 1362.34024
Ibragimov, N. H.
3
2009
Extension of Euler’s method to parabolic equations. Zbl 1221.35184
Ibragimov, N. H.
3
2009
A solution to the problem of invariants for parabolic equations. Zbl 1221.35025
Ibragimov, N. H.; Meleshko, S. V.
3
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.
3
2009
Symmetries, Lagrangian and conservation laws for the Maxwell equations. Zbl 1181.35279
Ibragimov, Nail H.
2
2009
Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029
Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn
20
2008
Equivalence group of a fourth-order evolution equation unifying various nonlinear models. Zbl 1155.35410
Gandarias, Maria Luz; Ibragimov, Nail H.
10
2008
Invariants of linear parabolic differential equations. Zbl 1130.35074
Ibragimov, N. H.; Meleshko, S. V.; Thailert, E.
6
2008
Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Zbl 1221.34088
Ibragimov, Nail H.; Meleshko, Sergey V.
2
2008
A new conservation theorem. Zbl 1160.35008
Ibragimov, Nail H.
261
2007
Differential invariants of the one-dimensional quasi-linear second-order evolution equation. Zbl 1116.35058
Ibragimov, N. H.; Sophocleous, C.
10
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.
52
2006
Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003
Ibragimov, Nail H.; Meleshko, Sergey V.
40
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.
30
2004
Geometric proof of Lie’s linearization theorem. Zbl 1087.34515
Ibragimov, Nail H.; Magri, Franco
11
2004
Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems. Zbl 1127.60064
Ibragimov, 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 1035.35081
Ibragimov, N. H.; Torrisi, M.; Valenti, A.
10
2004
Invariants of hyperbolic equations: solution of the Laplace problem. Zbl 1049.35012
Ibragimov, N. Kh.
7
2004
The equivalence group and invariant solutions of a tumour growth model. Zbl 1032.92017
Ibragimov, Nail H.; Säfström, Niklas
6
2004
Invariants for evolution equations. Zbl 1094.35008
Ibragimov, 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 1031.35004
Ibragimov, Nail H.
1
2003
Laplace type invariants for parabolic equations. Zbl 1065.35010
Ibragimov, N. H.
23
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.
14
2002
Invariants of a remarkable family of nonlinear equations. Zbl 1034.35005
Ibragimov, N. H.
9
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.
268
1999
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
61
1998
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
42
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
74
1996
CRC handbook of Lie group analysis of differential equations. Vol. 2: Applications in engineering and physical sciences. Zbl 0864.35002
88
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
229
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
12
1994
Equivalence groups for balance equations. Zbl 0809.35053
Ibragimov, N. H.; Torrisi, M.
9
1994
Closed orbits and their stable symmetries. Zbl 0826.70007
Baikov, V. A.; Gazizov, R. K.; Ibragimov, N. H.; Mahomed, F. M.
6
1994
Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth. Zbl 0795.01008
Ibragimov, Nail H.
4
1994
Lie groups in turbulence: I. Kolmogorov’s invariant and the algebra \(L_\tau\). Zbl 0938.35592
Ibragimov, Nail H.; Ünal, Gazanfer
3
1994
Equivalence transformations of Navier-Stokes equations. Zbl 0862.35085
Ibragimov, Nail H.; Ünal, Gazanfer
3
1994
Group theoretic determination of fundamental solutions. Zbl 0924.35007
Berest, Yuri Yu.; Ibragimov, Nail H.
2
1994
Small effects in physics hinted by the Lie group philosophy: Are they observable? I: From Galilean principle to heat diffusion. Zbl 0964.35508
Ibragimov, Nail H.
1
1994
Group theoretical treatment of fundamental solutions. Zbl 0834.35008
Ibragimov, N. H.
1
1994
Approximate groups of transformations. Zbl 0826.35004
Baĭkov, V. A.; Gazizov, R. K.; Ibragimov, N. H.
7
1993
Seven miniatures on group analysis. Zbl 0831.35006
Ibragimov, N. Kh.
2
1993
Relationships between the symmetry properties of the equations of gas kinetics and hydrodynamics. Zbl 1039.82507
Bobylëv, 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 0848.34006
Ibragimov, N. Kh.
29
1992
A simple method for group analysis and its application to a model of detonation. Zbl 0761.35104
Ibragimov, N. H.; Torrisi, M.
18
1992
...and 40 more Documents
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Cited by 1,277 Authors

49 Ibragimov, Nail Hairullovich
43 Khalique, Chaudry Masood
43 Mahomed, Fazal M.
37 Meleshko, Sergey V.
36 Bruzón, Maria Santos
35 Sophocleous, Christodoulos
34 Gandarias Núñez, Maria Luz
34 Kara, Abdul Hamid
24 Freire, Igor Leite
23 Popovych, Roman O.
21 Leach, Peter Gavin Lawrence
21 Özer, Teoman
20 Qadir, Asghar
18 Tracinà, Rita
16 Gazizov, Rafail Kav’evich
16 Moitsheki, Raseelo J.
16 Qu, Changzheng
15 Mustafa, Muhammad Tahir
15 Zaman, Fiazud Din
14 Yaşar, Emrullah
14 Zhang, Zhiyong
13 Ibragimov, Ranis N.
13 Ivanova, Nataliya M.
12 Bluman, George W.
12 Bokhari, Ashfaque H.
12 Govinder, Keshlan Sathasiva
12 Momoniat, Ebrahim
12 Nadjafikhah, Mehdi
12 Nucci, Maria Clara
12 Polyanin, Andrei Dmitrievich
12 Wang, Gangwei
11 Al-Dweik, Ahmad Y.
11 Azad, Hassan
11 Băleanu, Dumitru I.
11 Cheviakov, Alexei F.
11 Gupta, Rajesh Kumar
11 Oliveri, Francesco
11 Paliathanasis, Andronikos
11 Senthilvelan, Murugaian
10 Dorodnitsyn, Vladimir A.
10 Speciale, Maria Paola
10 Torrisi, Mariano
10 Zhang, Yufeng
10 Zhdanov, Renat Z.
9 Anco, Stephen C.
9 Bozhkov, Yuri Dimitrov
9 Feroze, Tooba
9 Inc, Mustafa
9 Johnpillai, Andrew Gratien
9 Lakshmanan, Muthusamy
9 Mason, David Paul
9 Muatjetjeja, Ben
9 Muriel, Concepción
9 Oberlack, Martin
9 Tian, Shoufu
9 Xin, Xiangpeng
9 Yusuf, Abdullahi A.
8 Abdulwahhab, Muhammad Alim
8 Ali, Sajid
8 Belinchón, José Antonio
8 Bihlo, Alexander
8 Liu, Jiangen
8 Lukashchuk, Stanislav Yur’evich
8 Ma, Wen-Xiu
8 Mironov, Alekseĭ Nikolaevich
8 Sahadevan, Ramajayam
8 Sinkala, Winter
8 Winternitz, Pavel
7 Adem, Abdullahi Rashid
7 Ali, Farhad
7 Aliyu, Aliyu Isa
7 Fakhar, Kamran
7 Gaĭnetdinova, Aliya Aĭdarovna
7 Garrido, Tamara Maria
7 Huang, Dingjiang
7 Huang, Qing
7 Hussain, Ibrar
7 Jamal, Sameerah
7 Jhangeer, Adil
7 Liu, Hanze
7 Liu, Xiqiang
7 Naeem, Imran
7 Olver, Peter John
7 Rashidi, Saeede
7 Ruggieri, Marianna
7 Serov, Mykola I.
7 Vaneeva, Olena O.
7 Yang, Xiao-Jun
7 Zedan, Hassan A.
6 Bagderina, Yuliya Yur’evna
6 Biswas, Anjan
6 Chen, Yong
6 Chen, Yufu
6 Cicogna, Giampaolo
6 de Lucas, Javier
6 Dyshaev, Mikhaĭl Mikhaĭlovich
6 Fëdorov, Vladimir Evgen’evich
6 Kaptsov, E. I.
6 Lashkarian, Elham
6 Meshkov, Anatoly G.
...and 1,177 more Authors
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Cited in 255 Serials

118 Communications in Nonlinear Science and Numerical Simulation
88 Journal of Mathematical Physics
83 Applied Mathematics and Computation
68 Journal of Nonlinear Mathematical Physics
65 Journal of Mathematical Analysis and Applications
61 Nonlinear Dynamics
35 Nonlinear Analysis. Real World Applications
33 Acta Applicandae Mathematicae
29 Theoretical and Mathematical Physics
27 Journal of Geometry and Physics
26 Abstract and Applied Analysis
25 Chaos, Solitons and Fractals
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
16 Journal of Computational and Applied Mathematics
16 Advances in Mathematical Physics
15 Mathematical Methods in the Applied Sciences
15 Advances in Difference Equations
14 Physics Letters. A
14 Quaestiones Mathematicae
14 Mathematical Problems in Engineering
13 International Journal of Theoretical Physics
13 Journal of Differential Equations
13 Symmetry
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Journal of Applied Mechanics and Technical Physics
10 Journal of Mathematical Sciences (New York)
10 Lobachevskii Journal of Mathematics
9 International Journal of Engineering Science
9 Letters in Mathematical Physics
9 Physica A
9 Reports on Mathematical Physics
9 Differential Equations
9 Journal of Physics A: Mathematical and Theoretical
9 Discrete and Continuous Dynamical Systems. Series S
9 Journal of Applied Analysis and Computation
9 International Journal of Applied and Computational Mathematics
8 Computer Physics Communications
8 Journal of Applied Mathematics and Mechanics
8 Computational and Applied Mathematics
8 International Journal of Nonlinear Sciences and Numerical Simulation
8 Mathematical Modelling of Natural Phenomena
8 Ufimskiĭ Matematicheskiĭ Zhurnal
7 General Relativity and Gravitation
7 Mathematics and Computers in Simulation
7 Journal of Symbolic Computation
7 International Journal of Modern Physics D
6 Astrophysics and Space Science
6 Siberian Mathematical Journal
6 Studies in Applied Mathematics
6 Physica D
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Functional Analysis and its Applications
5 Journal of Soviet Mathematics
5 Computational Mathematics and Mathematical Physics
5 Journal of Mathematical Chemistry
5 Mediterranean Journal of Mathematics
5 Boundary Value Problems
5 Analysis and Mathematical Physics
5 Mathematics
5 Computational Methods for Differential Equations
5
4 International Journal of Modern Physics B
4 Acta Mechanica
4 Communications in Mathematical Physics
4 Journal of Computational Physics
4 Journal of Statistical Physics
4 Mathematical Notes
4 Ukrainian Mathematical Journal
4 Ricerche di Matematica
4 Applied Mathematics and Mechanics. (English Edition)
4 Mathematical and Computer Modelling
4 Continuum Mechanics and Thermodynamics
4 Discrete and Continuous Dynamical Systems
4 Nonlinear Analysis. Modelling and Control
4 Journal of Function Spaces
4 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Siberian Federal University. Mathematics & Physics
3 Physics Reports
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Annals of Physics
3 Applied Mathematical Modelling
3 Journal of Elasticity
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Russian Mathematics
3 Integral Transforms and Special Functions
3 Journal of Difference Equations and Applications
3 Mathematical Physics, Analysis and Geometry
3 Chaos
3 International Journal of Theoretical and Applied Finance
3 Frontiers of Mathematics in China
3 International Journal of Differential Equations
3 Afrika Matematika
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Modern Physics Letters A
2 Applicable Analysis
...and 155 more Serials
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Cited in 47 Fields

987 Partial differential equations (35-XX)
274 Fluid mechanics (76-XX)
241 Dynamical systems and ergodic theory (37-XX)
227 Ordinary differential equations (34-XX)
166 Global analysis, analysis on manifolds (58-XX)
105 Mechanics of particles and systems (70-XX)
65 Topological groups, Lie groups (22-XX)
64 Relativity and gravitational theory (83-XX)
58 Numerical analysis (65-XX)
56 Mechanics of deformable solids (74-XX)
51 Nonassociative rings and algebras (17-XX)
48 Quantum theory (81-XX)
44 Differential geometry (53-XX)
42 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Statistical mechanics, structure of matter (82-XX)
33 Biology and other natural sciences (92-XX)
29 Computer science (68-XX)
26 Probability theory and stochastic processes (60-XX)
25 Integral equations (45-XX)
25 Classical thermodynamics, heat transfer (80-XX)
20 Real functions (26-XX)
19 Geophysics (86-XX)
15 Operator theory (47-XX)
15 Optics, electromagnetic theory (78-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
9 Systems theory; control (93-XX)
8 Difference and functional equations (39-XX)
7 Integral transforms, operational calculus (44-XX)
6 General topology (54-XX)
6 Astronomy and astrophysics (85-XX)
5 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
3 Group theory and generalizations (20-XX)
3 Manifolds and cell complexes (57-XX)
2 Field theory and polynomials (12-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

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