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Ibragimov, Nail Hairullovich (b. 1939 d. 2018)

Author ID: ibragimov.nail-h Recent zbMATH articles by "Ibragimov, Nail Hairullovich"
Published as: Ibragimov, Nail H.; Ibragimov, N. H.; Ibragimov, N. Kh.; Ibragimov, Nail Kh.
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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

Publications by Year

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
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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
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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. A
39 Nonlinear Analysis. Real World Applications
36 Theoretical and Mathematical Physics
35 Chaos, Solitons and Fractals
34 Abstract and Applied Analysis
33 Acta Applicandae Mathematicae
31 Reports on Mathematical Physics
29 Journal of Physics A: Mathematical and Theoretical
28 Applied Mathematics Letters
26 Computers & Mathematics with Applications
25 Journal of Computational and Applied Mathematics
21 Journal of Engineering Mathematics
20 Advances in Mathematical Physics
19 Computational and Applied Mathematics
19 Mathematical Problems in Engineering
19 Advances in Difference Equations
18 Studies in Applied Mathematics
18 Journal of Applied Mathematics
17 Quaestiones Mathematicae
17 Symmetry
16 International Journal of Engineering Science
16 Journal of Differential Equations
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Waves in Random and Complex Media
16 Communications in Theoretical Physics
15 Physica D
15 Lobachevskii Journal of Mathematics
15 Journal of Applied Analysis and Computation
14 Computer Physics Communications
14 Journal of Mathematical Sciences (New York)
14 International Journal of Applied and Computational Mathematics
13 International Journal of Theoretical Physics
13 Physica A
13 Journal of Applied Mechanics and Technical Physics
12 Chinese Journal of Physics (Taipei)
12 Ufimskiĭ Matematicheskiĭ Zhurnal
11 Journal of Nonlinear Mathematical Physics
11 International Journal of Nonlinear Sciences and Numerical Simulation
11 Discrete and Continuous Dynamical Systems. Series S
10 International Journal of Modern Physics B
10 Letters in Mathematical Physics
10 Mathematical and Computer Modelling
9 Journal of Applied Mathematics and Mechanics
9 Journal of Symbolic Computation
9 Annals of Physics
9 Differential Equations
9 Mathematical Modelling of Natural Phenomena
9 Computational Methods for Differential Equations
8 Ukrainian Mathematical Journal
8 Analysis and Mathematical Physics
7 General Relativity and Gravitation
7 Mathematical Notes
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Mathematics and Computers in Simulation
7 Ricerche di Matematica
7 Siberian Mathematical Journal
7 Computational Mathematics and Mathematical Physics
7 International Journal of Modern Physics D
7 Boundary Value Problems
6 Astrophysics and Space Science
6 Applied Mathematical Modelling
6 Russian Mathematics
6 Qualitative Theory of Dynamical Systems
6 Nonlinear Analysis. 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
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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)
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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)
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8 Group theory and generalizations (20-XX)
8 Integral transforms, operational calculus (44-XX)
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4 Functional analysis (46-XX)
3 Geometry (51-XX)
2 History and biography (01-XX)
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2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
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