×

Kaptsov, Oleg Viktorovich

Author ID: kaptsov.oleg-viktorovich Recent zbMATH articles by "Kaptsov, Oleg Viktorovich"
Published as: Kaptsov, O. V.; Kaptsov, Oleg V.; Kaptsov, Oleg Viktorovich
Homepage: https://icm.krasn.ru/personal.php?persid=61&lang=eng
External Links: Google Scholar · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 60 Publications since 1980, including 2 Books and 4 Additional arXiv Preprints
Co-Authors: 16 Co-Authors with 22 Joint Publications
116 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 206 times in 160 Documents Cited by Year
Applications of group theoretical methods in hydrodynamics. Transl. from the Russian by S. S. Kutateldaze, V. N. Dyatlov and G. V. Dyatlov. Zbl 0912.35001
Andreev, V. K.; Kaptsov, O. V.; Pukhnachov, V. V.; Rodionov, A. A.
59
1998
Application of group-theoretic methods in hydrodynamics. (Primenenie teoretiko-gruppovykh metodov v gidrodinamike.) Zbl 0989.35500
Andreev, V. K.; Kaptsov, O. V.; Pukhnachev, V. V.; Rodionov, A. A.
35
1994
Differential constraints and exact solutions of nonlinear diffusion equations. Zbl 1039.35054
Kaptsov, Oleg V.; Verevkin, Igor V.
14
2003
Invariant sets of evolution equations. Zbl 0812.35052
Kaptsov, O. V.
13
1992
Construction of exact solutions to the Boussinesq equation. Zbl 0938.76013
Kaptsov, O. V.
8
1998
\(B\)-determining equations: Applications to nonlinear partial differential equations. Zbl 0838.35023
Kaptsov, O. V.
7
1995
Linear determining equations for differential constraints. Zbl 0935.35004
Kaptsov, O. V.
7
1998
On the Goursat classification problem. Zbl 1255.35165
Kaptsov, O. V.
7
2012
Elliptic solutions of the stationary Euler equations. Zbl 0659.76031
Kaptsov, O. V.
4
1988
Systems of generators for ideals of algebra of convergent differential series. Zbl 1323.68609
Kaptsov, O. V.
4
2014
Transformations and solutions of linear partial differential equations with variable coefficients. Zbl 1224.35049
Kaptsov, O. V.; Korostelev, I. V.
4
2009
Classification of evolution equations by conservation laws. Zbl 0511.35058
Kaptsov, O. V.
3
1982
Determining equations in diffusion problems. Zbl 0972.35050
Kaptsov, O. V.
3
2000
Linear determining equations for differential constraints. Zbl 1083.35030
Kaptsov, Oleg V.; Schmidt, Alexey V.
3
2005
Many-parameter solutions of the Tzitzéica equation. Zbl 0969.35009
Kaptsov, O. V.; Shan’ko, Yu. V.
3
1999
Self-similar solutions for two problems of free turbulence. Zbl 1201.76079
Efremov, I. A.; Kaptsov, O. V.; Chernykh, G. G.
3
2009
Self-similar solutions of the second-order model of the far turbulent wake. Zbl 1271.76123
Kaptsov, O. V.; Efremov, I. A.; Shmidt, A. V.
3
2008
Invariant properties of a model of the turbulent far wake. Zbl 1212.35004
Kaptsov, O. V.; Efremov, V. V.
3
2005
Defining equations of conservation laws for evolutionary equations. Zbl 0488.35058
Kaptsov, O. V.
2
1980
Determining equations and differential constraints. Zbl 0936.35177
Kaptsov, O. V.
2
1995
Some classes of two-dimensional stationary vortex structures in an ideal liquid. Zbl 0999.76528
Kaptsov, O. V.
2
1998
New solutions of two-dimensional stationary Euler equations. Zbl 0739.76011
Kaptsov, O. V.
2
1990
Local algebraic analysis of differential systems. Zbl 1329.35025
Kaptsov, O. V.
2
2015
Application of the \(B\)-determining equations method to one problem of free turbulence. Zbl 1356.76116
Kaptsov, Oleg V.; Schmidt, Alexey V.
2
2012
Equivalence of linear partial differential equations and Euler–Darboux transformations. Zbl 1212.35052
Kaptsov, O. V.
2
2007
The inversion of the canonical mapping in A-groups. Zbl 0489.22020
Kaptsov, O. V.
1
1981
Extension of the symmetry of evolution equations. Zbl 0505.35001
Kaptsov, O. V.
1
1982
A formal analog to the problem of analytic iteration. Zbl 0566.39007
Kaptsov, O. V.
1
1983
Involutive distributions, invariant manifolds, and defining equations. Zbl 1018.58030
Kaptsov, O. V.
1
2002
Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium. Zbl 1298.76096
Kaptsov, O. V.; Fomina, A. V.; Chernykh, G. G.; Schmidt, A. V.
1
2012
Algebraic and geometric structures of analytic partial differential equations. Zbl 1359.35006
Kaptsov, O. V.
1
2016
Self-similar decay of the momentum-less turbulent wake in a passive stratified medium. Zbl 1340.76031
Kaptsov, O. V.; Fomina, A. V.; Chernykh, G. G.; Schmidt, A. V.
1
2015
A three-dimensional semi-empirical model of a far turbulent wake. Zbl 1432.76094
Kaptsov, O. V.; Shmidt, A. V.
1
2015
Waves and structures in the Boussinesq equations. Zbl 1418.76016
Kaptsov, O. V.; Kaptsov, D. O.
1
2019
Waves and structures in the Boussinesq equations. Zbl 1418.76016
Kaptsov, O. V.; Kaptsov, D. O.
1
2019
Algebraic and geometric structures of analytic partial differential equations. Zbl 1359.35006
Kaptsov, O. V.
1
2016
Local algebraic analysis of differential systems. Zbl 1329.35025
Kaptsov, O. V.
2
2015
Self-similar decay of the momentum-less turbulent wake in a passive stratified medium. Zbl 1340.76031
Kaptsov, O. V.; Fomina, A. V.; Chernykh, G. G.; Schmidt, A. V.
1
2015
A three-dimensional semi-empirical model of a far turbulent wake. Zbl 1432.76094
Kaptsov, O. V.; Shmidt, A. V.
1
2015
Systems of generators for ideals of algebra of convergent differential series. Zbl 1323.68609
Kaptsov, O. V.
4
2014
On the Goursat classification problem. Zbl 1255.35165
Kaptsov, O. V.
7
2012
Application of the \(B\)-determining equations method to one problem of free turbulence. Zbl 1356.76116
Kaptsov, Oleg V.; Schmidt, Alexey V.
2
2012
Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium. Zbl 1298.76096
Kaptsov, O. V.; Fomina, A. V.; Chernykh, G. G.; Schmidt, A. V.
1
2012
Transformations and solutions of linear partial differential equations with variable coefficients. Zbl 1224.35049
Kaptsov, O. V.; Korostelev, I. V.
4
2009
Self-similar solutions for two problems of free turbulence. Zbl 1201.76079
Efremov, I. A.; Kaptsov, O. V.; Chernykh, G. G.
3
2009
Self-similar solutions of the second-order model of the far turbulent wake. Zbl 1271.76123
Kaptsov, O. V.; Efremov, I. A.; Shmidt, A. V.
3
2008
Equivalence of linear partial differential equations and Euler–Darboux transformations. Zbl 1212.35052
Kaptsov, O. V.
2
2007
Linear determining equations for differential constraints. Zbl 1083.35030
Kaptsov, Oleg V.; Schmidt, Alexey V.
3
2005
Invariant properties of a model of the turbulent far wake. Zbl 1212.35004
Kaptsov, O. V.; Efremov, V. V.
3
2005
Differential constraints and exact solutions of nonlinear diffusion equations. Zbl 1039.35054
Kaptsov, Oleg V.; Verevkin, Igor V.
14
2003
Involutive distributions, invariant manifolds, and defining equations. Zbl 1018.58030
Kaptsov, O. V.
1
2002
Determining equations in diffusion problems. Zbl 0972.35050
Kaptsov, O. V.
3
2000
Many-parameter solutions of the Tzitzéica equation. Zbl 0969.35009
Kaptsov, O. V.; Shan’ko, Yu. V.
3
1999
Applications of group theoretical methods in hydrodynamics. Transl. from the Russian by S. S. Kutateldaze, V. N. Dyatlov and G. V. Dyatlov. Zbl 0912.35001
Andreev, V. K.; Kaptsov, O. V.; Pukhnachov, V. V.; Rodionov, A. A.
59
1998
Construction of exact solutions to the Boussinesq equation. Zbl 0938.76013
Kaptsov, O. V.
8
1998
Linear determining equations for differential constraints. Zbl 0935.35004
Kaptsov, O. V.
7
1998
Some classes of two-dimensional stationary vortex structures in an ideal liquid. Zbl 0999.76528
Kaptsov, O. V.
2
1998
\(B\)-determining equations: Applications to nonlinear partial differential equations. Zbl 0838.35023
Kaptsov, O. V.
7
1995
Determining equations and differential constraints. Zbl 0936.35177
Kaptsov, O. V.
2
1995
Application of group-theoretic methods in hydrodynamics. (Primenenie teoretiko-gruppovykh metodov v gidrodinamike.) Zbl 0989.35500
Andreev, V. K.; Kaptsov, O. V.; Pukhnachev, V. V.; Rodionov, A. A.
35
1994
Invariant sets of evolution equations. Zbl 0812.35052
Kaptsov, O. V.
13
1992
New solutions of two-dimensional stationary Euler equations. Zbl 0739.76011
Kaptsov, O. V.
2
1990
Elliptic solutions of the stationary Euler equations. Zbl 0659.76031
Kaptsov, O. V.
4
1988
A formal analog to the problem of analytic iteration. Zbl 0566.39007
Kaptsov, O. V.
1
1983
Classification of evolution equations by conservation laws. Zbl 0511.35058
Kaptsov, O. V.
3
1982
Extension of the symmetry of evolution equations. Zbl 0505.35001
Kaptsov, O. V.
1
1982
The inversion of the canonical mapping in A-groups. Zbl 0489.22020
Kaptsov, O. V.
1
1981
Defining equations of conservation laws for evolutionary equations. Zbl 0488.35058
Kaptsov, O. V.
2
1980
all top 5

Cited by 184 Authors

15 Kaptsov, Oleg Viktorovich
8 Meleshko, Sergey V.
8 Polyanin, Andrei Dmitrievich
6 Semenov, Edward Ivanovich
5 Andreev, Viktor Konstantinovich
5 Goncharova, Olga N.
5 Grebenev, Vladimir N.
5 Kosov, Aleksandr Arkad’evich
4 Bihlo, Alexander
4 Chernykh, Gennadiǐ Georgievich
4 Khabibullin, Ismagil Talgatovich
4 Ji, Lina
4 Popovych, Roman O.
4 Pukhnachov, Vladislav Vasil’evich
4 Zhurov, Alexei I.
3 Abazari, Reza
3 Bekezhanova, Victoria B.
3 Dorodnitsyn, Vladimir A.
3 Khakimova, Aĭgul’ Rinatovna
3 Qu, Changzheng
3 Shmidt, A. V.
3 Wazwaz, Abdul-Majid Abdul-Rahman
2 Bagderina, Yuliya Yur’evna
2 Chashechkin, Yu. D.
2 Cheremnykh, Elena N.
2 Cherniha, Roman M.
2 Cicogna, Giampaolo
2 Galaktionov, Victor Aleksandrovich
2 Gürarslan, Gürhan
2 Kazakov, Aleksandr Leonidovich
2 Kiliçman, Adem
2 Laino, Michele
2 Ma, Wen-Xiu
2 Rodionov, Aleksandr A.
2 Saleva, Tomi
2 Schmidt, Alexey V.
2 Shafarevich, Andreĭ Igorevich
2 Shefer, Ilia A.
2 Shen, Shoufeng
2 Sinitsyn, Aleksandr Vladimirovich
2 Sophocleous, Christodoulos
2 Sorokin, Vsevolod G.
2 Suleĭmanov, Bulat Irekovich
2 Taĭmanov, Iskander Asanovich
2 Tuomela, Jukka
2 Verevkin, Igor’ Viktorovich
2 Wang, Jianping
2 Zhdanov, Renat Z.
2 Zheltukhina, Natalya A.
1 Abassy, Tamer A.
1 Aksenov, Alexander V.
1 Alekseev, Gennady V.
1 Anikonov, Yuriĭ Evgenievich
1 Ao, Weiwei
1 Ba, Huijing
1 Bajdulov, V. G.
1 Baty, Roy S.
1 Bluman, George Wallace
1 Bogdanov, R. I.
1 Cao, Jie
1 Cheviakov, Alexei F.
1 Chirkunov, Yuriĭ Aleksandrovich
1 Davydovych, Vasyl V.
1 Dehghan Takht Fooladi, Mehdi
1 Demenkov, Andrew G.
1 Deng, Zichen
1 Dobrokhotov, Sergei Yurievich
1 Domrin, Andrei Victorovich
1 Dos Santos Cardoso-Bihlo, Elsa Maria
1 Duyunova, Anna Andreevna
1 Efremov, I. A.
1 El-Tawil, Magdy A.
1 Estévez, Pilar G.
1 Fan, Guihong
1 Feng, Suxiao
1 Fomina, A. V.
1 Goard, Joanna M.
1 Golovin, Sergey V.
1 Grishkov, Alexander Nikolaevich
1 He, Jingsong
1 He, Longqi
1 Hu, Weipeng
1 Ilyushin, B. B.
1 Jamshidzadeh, Shabnam
1 Jha, Navnit
1 Jin, Yongyang
1 Kaewmanee, Chompit
1 Kandasamy, Ramasamy
1 Kaptsov, D. O.
1 Kaptsov, Evgenii I.
1 Khor’kova, Nina Grigor’evna
1 Knyazev, Denis V.
1 Kobayashi, Shimpei
1 Kovalenko, Sergii
1 Kozlov, Roman V.
1 Krasnova, Daria A.
1 Kumar, Neelesh
1 Kunzinger, Michael
1 Kuzovatov, Vyacheslav Igor’evich
1 Kytmanov, Alexey Alexandrovich
...and 84 more Authors
all top 5

Cited in 56 Serials

18 Journal of Applied Mechanics and Technical Physics
13 Journal of Siberian Federal University. Mathematics & Physics
8 Communications in Nonlinear Science and Numerical Simulation
8 Journal of Nonlinear Mathematical Physics
7 Journal of Mathematical Physics
7 Theoretical and Mathematical Physics
5 Journal of Mathematical Analysis and Applications
5 Applied Mathematics and Computation
4 Siberian Mathematical Journal
3 Journal of Applied Mathematics and Mechanics
3 Mathematical Notes
3 Physics Letters. A
3 Chaos, Solitons and Fractals
3 Prikladnaya Matematika i Mekhanika
3 Physica D
3 Nonlinear Dynamics
3 Lobachevskii Journal of Mathematics
3 Differential Equations
3 Journal of Physics A: Mathematical and Theoretical
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Functional Analysis and its Applications
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Programming and Computer Software
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Mathematics Letters
2 Applied Mathematical Modelling
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Journal of Mathematical Fluid Mechanics
2 Doklady Physics
2 Advances in Mathematical Physics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Nonlinear Analysis. Theory, Methods & Applications
1 Computer Physics Communications
1 Fluid Dynamics
1 Indian Journal of Pure & Applied Mathematics
1 Wave Motion
1 Advances in Mathematics
1 Journal of Computational and Applied Mathematics
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Differential Geometry and its Applications
1 Numerical Algorithms
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Proceedings of the Steklov Institute of Mathematics
1 Mathematical Modelling of Natural Phenomena
1 International Journal for Numerical Methods in Biomedical Engineering
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 International Journal of Applied and Computational Mathematics

Citations by Year