## Zhdanov, Renat Z.

Compute Distance To:
 Author ID: zhdanov.renat-z Published as: Zhdanov, R. Z.; Zhdanov, Renat; Zhdanov, R.; Zhdanov, Renat Z. more...less
 Documents Indexed: 108 Publications since 1985, including 1 Book Co-Authors: 30 Co-Authors with 78 Joint Publications 297 Co-Co-Authors
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### Co-Authors

 23 single-authored 29 Fushchych, Vil’gel’m Illich 23 Lahno, Victor Ivanovich 8 Revenko, I. V. 7 Huang, Qing 6 Finkel, Federico 6 Gómez-Ullate, David 6 González-López, Artemio 4 Qu, Changzheng 3 Basarab-Horwath, Peter 3 Zhalij, Alexander 2 Doebner, Heinz-Dietrich 2 Güngör, Faruk 2 Magda, Olena V. 2 Panchak, O. A. 2 Smalii, V. F. 2 Tzyfra, I. M. 1 Andreitsev, A. Yu. 1 Andreitsev, Andrij 1 Andrejtsev, A. Yu. 1 Egorchenko, I. A. 1 Fairlie, David B. 1 Lahno, W. I. 1 Lutfullin, M. V. 1 Lutfullin, Maxim W. 1 Marko, P. V. 1 Nattermann, Peter 1 Panchak, Olena 1 Popovych, Roman O. 1 Rodríiguez, M. A. 1 Roman, O. V. 1 Roman, Olena 1 Shtelen, Vladimir M. 1 Spichak, Stanislav V. 1 Tsyfra, Ivan M. 1 Zhaliĭ, O. Yu.
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### Serials

 16 Journal of Physics A: Mathematical and General 14 Journal of Mathematical Physics 8 Ukraïns’kyĭ Matematychnyĭ Zhurnal 7 Journal of Nonlinear Mathematical Physics 6 Ukrainian Mathematical Journal 5 Reports on Mathematical Physics 3 Communications in Mathematical Physics 3 Dopovidi Akademiï Nauk Ukraïni 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 2 Journal of Mathematical Analysis and Applications 2 Acta Applicandae Mathematicae 2 Physica D 2 Nonlinear Dynamics 1 Nuclear Physics. B 1 Physica A 1 Physics Letters. A 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Lie Theory 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Advances in Mathematical Physics
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### Fields

 85 Partial differential equations (35-XX) 38 Global analysis, analysis on manifolds (58-XX) 35 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Nonassociative rings and algebras (17-XX) 7 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Topological groups, Lie groups (22-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

64 Publications have been cited 630 times in 328 Documents Cited by Year
The structure of Lie algebras and the classification problem for partial differential equations. Zbl 1054.35002
Basarab-Horwath, P.; Lahno, V.; Zhdanov, R.
2001
Conditional Lie-Bäcklund symmetry and reduction of evolution equations. Zbl 0859.35115
Zhdanov, R. Z.
1995
Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative. Zbl 1395.35194
Huang, Qing; Zhdanov, Renat
2014
Group classification of heat conductivity equations with a nonlinear source. Zbl 0990.35009
Zhdanov, R. Z.; Lahno, V. I.
1999
Symmetry classification of KdV-type nonlinear evolution equations. Zbl 1071.35112
Güngör, F.; Lahno, V. I.; Zhdanov, R. Z.
2004
A precise definition of reduction of partial differential equations. Zbl 0936.35012
Zhdanov, R. Z.; Tsyfra, I. M.; Popovych, R. O.
1999
Group classification and exact solutions of nonlinear wave equations. Zbl 1113.35132
Lahno, V.; Zhdanov, R.; Magda, O.
2006
Separation of variables in the nonlinear wave equation. Zbl 0843.35003
Zhdanov, R. Z.
1994
Conditional symmetry of a porous medium equation. Zbl 0952.76087
Zhdanov, R. Z.; Lahno, V. I.
1998
Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries. Zbl 1063.35513
Basarab-Horwath, P.; Zhdanov, R. Z.
2001
Non-classical reductions of initial-value problems for a class of nonlinear evolution equations. Zbl 0965.35027
Zhdanov, R. Z.; Andreitsev, A. Yu.
2000
Higher conditional symmetry and reduction of initial value problems. Zbl 1001.35004
Zhdanov, R. Z.
2002
Group classification of the general second-order evolution equation: semi-simple invariance groups. Zbl 1133.35002
Zhdanov, R.; Lahno, V.
2007
On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models. Zbl 0970.81024
Zhdanov, Renat; Roman, Olena
2000
Group classification of nonlinear wave equations. Zbl 1110.35005
Lahno, V.; Zhdanov, R.
2005
Antireduction and exact solutions of nonlinear heat equations. Zbl 0954.35037
Fushchych, Wilhelm; Zhdanov, Renat
1994
Preliminary group classification of a class of fourth-order evolution equations. Zbl 1202.35011
Huang, Qing; Lahno, V.; Qu, C. Z.; Zhdanov, R.
2009
On new representations of Galilei groups. Zbl 0945.22010
Zhdanov, R. Z.; Fushchych, W. I.
1997
Group classification of the general evolution equation: local and quasilocal symmetries. Zbl 1128.35010
Zhdanov, Renat; Lahno, Victor
2005
On separable Schrödinger equations. Zbl 0969.81006
Zhdanov, Renat; Zhalij, Alexander
1999
Separation of variables in $$(1+2)$$-dimensional Schrödinger equations. Zbl 0872.35093
Zhdanov, R. Z.
1997
On integrable Doebner-Goldin equations. Zbl 0896.35125
Nattermann, P.; Zhdanov, R.
1996
On relation between potential and contact symmetries of evolution equations. Zbl 1187.35026
Zhdanov, Renat
2009
On the new approach to variables separation in the time-dependent Schrödinger equation with two space dimensions. Zbl 0843.35096
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1995
On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d’Alembert-Hamilton system. Zbl 0763.35090
Fushchich, V. I.; Zhdanov, R. Z.; Egorchenko, I. A.
1991
Symmetry reduction and some exact solutions of nonlinear biwave equations. Zbl 0891.35104
Fushchych, W. I.; Roman, O. V.; Zhdanov, R. Z.
1996
On the reduction and some new exact solutions of the nonlinear Dirac and Dirac-Klein-Gordon equations. Zbl 0659.35090
Fushchich, V. I.; Zhdanov, R. Z.
1988
Orthogonal and non-orthogonal separation of variables in the wave equation $$u_{tt}-u_{xx}+V(x)u=0$$. Zbl 0808.35069
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1993
Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations. Zbl 1204.35146
Huang, Qing; Qu, C. Z.; Zhdanov, R.
2010
Group classification of linear fourth-order evolution equations. Zbl 1267.35019
Huang, Qing; Qu, Changzheng; Zhdanov, Renat
2012
Group-theoretical framework for potential symmetries of evolution equations. Zbl 1314.35006
Huang, Qing; Qu, Changzheng; Zhdanov, Renat
2011
Conditional symmetry and reduction of partial differential equations. Zbl 0799.35011
Fushchich, V. I.; Zhdanov, R. Z.
1992
Higher conditional symmetries and reduction of initial value problems for nonlinear evolution equations. Zbl 0957.34005
Zhdanov, Renat Z.
2000
$$A_N$$-type Dunkl operators and new spin Calogero-Sutherland models. Zbl 1025.81017
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2001
New spin Calogero-Sutherland models related to $$B_N$$-type Dunkl operators. Zbl 0972.81053
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2001
Non-Lie ansätze and exact solutions of a nonlinear spinor equation. Zbl 0711.35102
Fushchich, V. I.; Zhdanov, R. Z.
1990
On covariant realizations of the Euclid group. Zbl 0957.22023
Zhdanov, R. Z.; Lahno, V. I.; Fushchych, W. I.
2000
On the general solution of the d’Alembert equation with a nonlinear eikonal constraint and its applications. Zbl 0849.35021
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1995
New scale-invariant nonlinear differential equations for a complex scalar field. Zbl 0888.35069
Zhdanov, R. Z.; Fushchych, W. I.; Marko, P. V.
1996
General solutions of the nonlinear wave equation and of the eikonal equation. Zbl 0763.35091
Fushchich, V. I.; Zhdanov, R. Z.; Revenko, I. V.
1991
Lie symmetry and integrability of ordinary differential equations. Zbl 0931.34004
Zhdanov, R. Z.
1998
Conditional symmetry and spectrum of the one-dimensional Schrödinger equation. Zbl 0959.34071
Zhdanov, R. Z.
1996
Conditional symmetry and new classical solutions of the Yang-Mills equations. Zbl 0872.35092
Zhdanov, R. Z.; Fushchych, W. I.
1995
Nonlocal symmetries of evolution equations. Zbl 1189.70048
Zhdanov, Renat
2010
Anti-reduction of the nonlinear wave equation. Zbl 0900.35240
Fushchych, W. I.; Zhdanov, R. Z.
1993
On some exact solutions of a system of nonlinear differential equations for spinor and vector fields. Zbl 0663.35090
Fushchich, V. I.; Zhdanov, R. Z.
1987
Exact solutions of systems of nonlinear differential equations for spinor and tensor fields. Zbl 0614.35077
Fushchich, V. I.; Zhdanov, R. Z.
1985
On separable Schrödinger-Maxwell equations. Zbl 0932.35173
Zhdanov, Renat; Lutfullin, Maxim
1998
Classifying evolution equations. Zbl 1042.35506
Basarab-Horwath, P.; Lahno, V.; Zhdanov, R.
2001
New conditional symmetries and exact solutions of the nonlinear wave equation. Zbl 0989.35094
Zhdanov, Renat; Panchak, Olena
1998
Realizations of the Witt and Virasoro algebras and integrable equations. Zbl 1436.17035
Huang, Qing; Zhdanov, Renat
2020
On non-Lie reduction of Galilei-invariant spinor equations. Zbl 0734.35102
Zhdanov, R. Z.; Andrejtsev, A. Yu.
1990
On integration of the nonlinear d’Alembert-eikonal system and conditional symmetry of nonlinear wave equations. Zbl 0951.35087
Zhdanov, Renat Z.
1997
On new realizations of the Poincaré groups $$P(1, 2)$$ and $$P(2, 2)$$. Zbl 0958.22014
Zhdanov, R. Z.; Lagno, V. I.
2000
On the Sutherland spin model of $$B_N$$ type and its associated spin chain. Zbl 1013.82007
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2003
Separation of variables in the two-dimensional wave equation with potential. Zbl 0840.35057
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1994
On the new approach to variable separation in the wave equation with potential. Zbl 0816.35074
Fushchich, W. I.; Zhdanov, R. Z.; Revenko, I. V.
1993
Nonlocal symmetries of systems of evolution equations. Zbl 1246.35017
Zhdanov, Renat
2011
A survey of quasi-exactly solvable systems and spin Calogero-Sutherland models. Zbl 1330.81189
Finkel, F.; Gómez-Ullate, D.; Gonzáles-López, A.; Rodríiguez, M. A.; Zhdanov, R.
2004
Reduction of differential equations and conditional symmetry. Zbl 0932.35194
Zhdanov, R. Z.; Tzyfra, I. M.
1996
On algebraic classification of Hermitian quasi-exactly solvable matrix Schrödinger operators on line. Zbl 0962.81071
Spichak, Stanislav; Zhdanov, Renat
1999
Symmetry and reduction of nonlinear Dirac equations. Zbl 0942.81558
Zhdanov, R. Z.; Fushchych, W. I.
1995
Symmetry reduction and exact solutions of the Yang-Mills equations. Zbl 0991.81551
Lahno, Victor; Zhdanov, Renat; Fushchych, Wilhelm
1995
On non-Lie ansatzes and new exact solutions of the classical Yang-Mills equations. Zbl 0947.53014
Zhdanov, Renat; Fushchych, Wilhelm
1995
Realizations of the Witt and Virasoro algebras and integrable equations. Zbl 1436.17035
Huang, Qing; Zhdanov, Renat
2020
Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative. Zbl 1395.35194
Huang, Qing; Zhdanov, Renat
2014
Group classification of linear fourth-order evolution equations. Zbl 1267.35019
Huang, Qing; Qu, Changzheng; Zhdanov, Renat
2012
Group-theoretical framework for potential symmetries of evolution equations. Zbl 1314.35006
Huang, Qing; Qu, Changzheng; Zhdanov, Renat
2011
Nonlocal symmetries of systems of evolution equations. Zbl 1246.35017
Zhdanov, Renat
2011
Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations. Zbl 1204.35146
Huang, Qing; Qu, C. Z.; Zhdanov, R.
2010
Nonlocal symmetries of evolution equations. Zbl 1189.70048
Zhdanov, Renat
2010
Preliminary group classification of a class of fourth-order evolution equations. Zbl 1202.35011
Huang, Qing; Lahno, V.; Qu, C. Z.; Zhdanov, R.
2009
On relation between potential and contact symmetries of evolution equations. Zbl 1187.35026
Zhdanov, Renat
2009
Group classification of the general second-order evolution equation: semi-simple invariance groups. Zbl 1133.35002
Zhdanov, R.; Lahno, V.
2007
Group classification and exact solutions of nonlinear wave equations. Zbl 1113.35132
Lahno, V.; Zhdanov, R.; Magda, O.
2006
Group classification of nonlinear wave equations. Zbl 1110.35005
Lahno, V.; Zhdanov, R.
2005
Group classification of the general evolution equation: local and quasilocal symmetries. Zbl 1128.35010
Zhdanov, Renat; Lahno, Victor
2005
Symmetry classification of KdV-type nonlinear evolution equations. Zbl 1071.35112
Güngör, F.; Lahno, V. I.; Zhdanov, R. Z.
2004
A survey of quasi-exactly solvable systems and spin Calogero-Sutherland models. Zbl 1330.81189
Finkel, F.; Gómez-Ullate, D.; Gonzáles-López, A.; Rodríiguez, M. A.; Zhdanov, R.
2004
On the Sutherland spin model of $$B_N$$ type and its associated spin chain. Zbl 1013.82007
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2003
Higher conditional symmetry and reduction of initial value problems. Zbl 1001.35004
Zhdanov, R. Z.
2002
The structure of Lie algebras and the classification problem for partial differential equations. Zbl 1054.35002
Basarab-Horwath, P.; Lahno, V.; Zhdanov, R.
2001
Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries. Zbl 1063.35513
Basarab-Horwath, P.; Zhdanov, R. Z.
2001
$$A_N$$-type Dunkl operators and new spin Calogero-Sutherland models. Zbl 1025.81017
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2001
New spin Calogero-Sutherland models related to $$B_N$$-type Dunkl operators. Zbl 0972.81053
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
2001
Classifying evolution equations. Zbl 1042.35506
Basarab-Horwath, P.; Lahno, V.; Zhdanov, R.
2001
Non-classical reductions of initial-value problems for a class of nonlinear evolution equations. Zbl 0965.35027
Zhdanov, R. Z.; Andreitsev, A. Yu.
2000
On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models. Zbl 0970.81024
Zhdanov, Renat; Roman, Olena
2000
Higher conditional symmetries and reduction of initial value problems for nonlinear evolution equations. Zbl 0957.34005
Zhdanov, Renat Z.
2000
On covariant realizations of the Euclid group. Zbl 0957.22023
Zhdanov, R. Z.; Lahno, V. I.; Fushchych, W. I.
2000
On new realizations of the Poincaré groups $$P(1, 2)$$ and $$P(2, 2)$$. Zbl 0958.22014
Zhdanov, R. Z.; Lagno, V. I.
2000
Group classification of heat conductivity equations with a nonlinear source. Zbl 0990.35009
Zhdanov, R. Z.; Lahno, V. I.
1999
A precise definition of reduction of partial differential equations. Zbl 0936.35012
Zhdanov, R. Z.; Tsyfra, I. M.; Popovych, R. O.
1999
On separable Schrödinger equations. Zbl 0969.81006
Zhdanov, Renat; Zhalij, Alexander
1999
On algebraic classification of Hermitian quasi-exactly solvable matrix Schrödinger operators on line. Zbl 0962.81071
Spichak, Stanislav; Zhdanov, Renat
1999
Conditional symmetry of a porous medium equation. Zbl 0952.76087
Zhdanov, R. Z.; Lahno, V. I.
1998
Lie symmetry and integrability of ordinary differential equations. Zbl 0931.34004
Zhdanov, R. Z.
1998
On separable Schrödinger-Maxwell equations. Zbl 0932.35173
Zhdanov, Renat; Lutfullin, Maxim
1998
New conditional symmetries and exact solutions of the nonlinear wave equation. Zbl 0989.35094
Zhdanov, Renat; Panchak, Olena
1998
On new representations of Galilei groups. Zbl 0945.22010
Zhdanov, R. Z.; Fushchych, W. I.
1997
Separation of variables in $$(1+2)$$-dimensional Schrödinger equations. Zbl 0872.35093
Zhdanov, R. Z.
1997
On integration of the nonlinear d’Alembert-eikonal system and conditional symmetry of nonlinear wave equations. Zbl 0951.35087
Zhdanov, Renat Z.
1997
On integrable Doebner-Goldin equations. Zbl 0896.35125
Nattermann, P.; Zhdanov, R.
1996
Symmetry reduction and some exact solutions of nonlinear biwave equations. Zbl 0891.35104
Fushchych, W. I.; Roman, O. V.; Zhdanov, R. Z.
1996
New scale-invariant nonlinear differential equations for a complex scalar field. Zbl 0888.35069
Zhdanov, R. Z.; Fushchych, W. I.; Marko, P. V.
1996
Conditional symmetry and spectrum of the one-dimensional Schrödinger equation. Zbl 0959.34071
Zhdanov, R. Z.
1996
Reduction of differential equations and conditional symmetry. Zbl 0932.35194
Zhdanov, R. Z.; Tzyfra, I. M.
1996
Conditional Lie-Bäcklund symmetry and reduction of evolution equations. Zbl 0859.35115
Zhdanov, R. Z.
1995
On the new approach to variables separation in the time-dependent Schrödinger equation with two space dimensions. Zbl 0843.35096
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1995
On the general solution of the d’Alembert equation with a nonlinear eikonal constraint and its applications. Zbl 0849.35021
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1995
Conditional symmetry and new classical solutions of the Yang-Mills equations. Zbl 0872.35092
Zhdanov, R. Z.; Fushchych, W. I.
1995
Symmetry and reduction of nonlinear Dirac equations. Zbl 0942.81558
Zhdanov, R. Z.; Fushchych, W. I.
1995
Symmetry reduction and exact solutions of the Yang-Mills equations. Zbl 0991.81551
Lahno, Victor; Zhdanov, Renat; Fushchych, Wilhelm
1995
On non-Lie ansatzes and new exact solutions of the classical Yang-Mills equations. Zbl 0947.53014
Zhdanov, Renat; Fushchych, Wilhelm
1995
Separation of variables in the nonlinear wave equation. Zbl 0843.35003
Zhdanov, R. Z.
1994
Antireduction and exact solutions of nonlinear heat equations. Zbl 0954.35037
Fushchych, Wilhelm; Zhdanov, Renat
1994
Separation of variables in the two-dimensional wave equation with potential. Zbl 0840.35057
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1994
Orthogonal and non-orthogonal separation of variables in the wave equation $$u_{tt}-u_{xx}+V(x)u=0$$. Zbl 0808.35069
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I.
1993
Anti-reduction of the nonlinear wave equation. Zbl 0900.35240
Fushchych, W. I.; Zhdanov, R. Z.
1993
On the new approach to variable separation in the wave equation with potential. Zbl 0816.35074
Fushchich, W. I.; Zhdanov, R. Z.; Revenko, I. V.
1993
Conditional symmetry and reduction of partial differential equations. Zbl 0799.35011
Fushchich, V. I.; Zhdanov, R. Z.
1992
On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d’Alembert-Hamilton system. Zbl 0763.35090
Fushchich, V. I.; Zhdanov, R. Z.; Egorchenko, I. A.
1991
General solutions of the nonlinear wave equation and of the eikonal equation. Zbl 0763.35091
Fushchich, V. I.; Zhdanov, R. Z.; Revenko, I. V.
1991
Non-Lie ansätze and exact solutions of a nonlinear spinor equation. Zbl 0711.35102
Fushchich, V. I.; Zhdanov, R. Z.
1990
On non-Lie reduction of Galilei-invariant spinor equations. Zbl 0734.35102
Zhdanov, R. Z.; Andrejtsev, A. Yu.
1990
On the reduction and some new exact solutions of the nonlinear Dirac and Dirac-Klein-Gordon equations. Zbl 0659.35090
Fushchich, V. I.; Zhdanov, R. Z.
1988
On some exact solutions of a system of nonlinear differential equations for spinor and vector fields. Zbl 0663.35090
Fushchich, V. I.; Zhdanov, R. Z.
1987
Exact solutions of systems of nonlinear differential equations for spinor and tensor fields. Zbl 0614.35077
Fushchich, V. I.; Zhdanov, R. Z.
1985
all top 5

### Cited by 337 Authors

 30 Zhdanov, Renat Z. 28 Popovych, Roman O. 24 Qu, Changzheng 13 Shen, Shoufeng 13 Sophocleous, Christodoulos 11 Fushchych, Vil’gel’m Illich 11 Ji, Lina 10 Huang, Qing 10 Vaneeva, Olena O. 9 Bihlo, Alexander 9 Lahno, Victor Ivanovich 7 Cherniha, Roman M. 7 Gupta, Rajesh Kumar 7 Huang, Dingjiang 7 Ivanova, Nataliya M. 7 Zhang, Zhiyong 6 Freire, Igor Leite 6 Güngör, Faruk 6 Polyanin, Andrei Dmitrievich 6 Singla, Komal 5 Zhang, Shunli 4 Basarab-Horwath, Peter 4 Cicogna, Giampaolo 4 Jia, Huabing 4 Jin, Yongyang 4 Kunzinger, Michael 4 Levi, Decio 4 Ma, Wen-Xiu 4 Nadjafikhah, Mehdi 4 Nikitin, Anatoly Glebovich 4 Pamuk, Serdal 4 Revenko, I. V. 4 Song, Junquan 4 Thomova, Zora 4 Tsyfra, Ivan M. 4 Zhalij, Alexander 4 Zhang, Jun 4 Zhurov, Alexei I. 3 Băleanu, Dumitru I. 3 Bluman, George W. 3 Boyko, Vyacheslav M. 3 Cimpoiasu, Rodica 3 Czyżycki, Tomasz 3 Davydovych, Vasyl’ 3 Dos Santos, João Paulo 3 Eshraghi, Homayoon 3 Kaur, Bikramjeet 3 Liu, Hanze 3 Liu, Jiangen 3 Opanasenko, Stanislav 3 Paliathanasis, Andronikos 3 Rakhmelevich, Igor’ Vladimirovich 3 Serov, Mykola I. 3 Wang, Lizhen 3 Xu, Wei 3 Yang, Xiao-Jun 3 Ye, Yujian 3 Zhou, Shuigeng 3 Zhu, Chunrong 2 Aliyu, Aliyu Isa 2 Arrigo, Daniel J. 2 Bai, Chenglin 2 Barannyk, Tetyana A. 2 Bindu, P. S. 2 Bozhkov, Yuri Dimitrov 2 Bradshaw-Hajek, Bronwyn H. 2 Chaolu, Temuer 2 Chatar, Walid 2 Dos Santos Cardoso-Bihlo, Elsa Maria 2 Egorchenko, I. A. 2 Fan, Yu-Rong 2 Geng, Lu-Lu 2 Goard, Joanna M. 2 Hashemi, Mir Sajjad 2 Hu, Jiayi 2 Inc, Mustafa 2 Jafari, Mehdi 2 Jamal, Sameerah 2 Johnpillai, Andrew Gratien 2 Kharbach, Jaouad 2 Kurujyibwami, Célestin 2 Laino, Michele 2 Lakshmanan, Muthusamy 2 Leach, Peter Gavin Lawrence 2 Leandro, Benedito 2 Lutfullin, Maxim W. 2 Mahdipour-Shirayeh, Ali 2 Mnguni, Nkosingiphile 2 Momoniat, Ebrahim 2 Nucci, Maria Clara 2 Ouazzani-Jamil, Mohammed 2 Özemir, Cihangir 2 Pliukhin, Oleksii 2 Pocheketa, Oleksandr A. 2 Pogorui, Anatoliy A. 2 Prystavka, Yu. V. 2 Qin, Chunyan 2 Rashidi, Saeede 2 Rastelli, Giovanni 2 Rezzouk, Abdellah ...and 237 more Authors
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### Cited in 90 Serials

 49 Journal of Mathematical Physics 37 Journal of Mathematical Analysis and Applications 17 Applied Mathematics and Computation 17 Communications in Nonlinear Science and Numerical Simulation 13 Reports on Mathematical Physics 10 Ukrainian Mathematical Journal 9 Acta Applicandae Mathematicae 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Nonlinear Dynamics 8 Journal of Nonlinear Mathematical Physics 7 Applied Mathematics Letters 7 Advances in Mathematical Physics 6 Symmetry 5 Mathematical Methods in the Applied Sciences 5 Physics Letters. A 5 Journal of Geometry and Physics 5 Physica D 5 Abstract and Applied Analysis 4 Physica A 3 Journal of Engineering Mathematics 3 Theoretical and Mathematical Physics 3 Reviews in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Computational and Applied Mathematics 3 Lobachevskii Journal of Mathematics 3 Advances in Difference Equations 3 Communications in Theoretical Physics 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Studies in Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Differential Geometry and its Applications 2 Doklady Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Geometric Methods in Modern Physics 2 Analysis and Mathematical Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Communications in Algebra 1 Letters in Mathematical Physics 1 Nonlinearity 1 Physics Reports 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Applied Mathematics and Mechanics. (English Edition) 1 Facta Universitatis. Series Mathematics and Informatics 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Vestnik St. Petersburg University. Mathematics 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Fractals 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Lie Theory 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Transformation Groups 1 Chaos 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Waves in Random and Complex Media 1 Mathematical Modelling of Natural Phenomena 1 Asian-European Journal of Mathematics 1 International Journal of Biomathematics 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Communications in Mathematics 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 Mathematics 1 Geometry 1 AIMS Mathematics 1 Journal of Algebraic Systems
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### Cited in 33 Fields

 268 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 53 Dynamical systems and ergodic theory (37-XX) 35 Ordinary differential equations (34-XX) 30 Fluid mechanics (76-XX) 30 Quantum theory (81-XX) 16 Nonassociative rings and algebras (17-XX) 14 Real functions (26-XX) 14 Differential geometry (53-XX) 12 Topological groups, Lie groups (22-XX) 12 Numerical analysis (65-XX) 11 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX)