Edit Profile (opens in new tab) Kaptsov, Oleg Viktorovich Co-Author Distance Author ID: kaptsov.oleg-viktorovich Published as: Kaptsov, O. V.; Kaptsov, Oleg V.; Kaptsov, Oleg Viktorovich more...less 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 all top 5 Co-Authors 38 single-authored 6 Schmidt, Alexey V. 3 Chernykh, Gennadiǐ Georgievich 3 Shan’ko, Yury V. 2 Andreev, Viktor Konstantinovich 2 Efremov, I. A. 2 Fomina, A. V. 2 Kaptsov, D. O. 2 Pukhnachov, Vladislav Vasil’evich 2 Shmidt, A. V. 1 Aksenov, Alexander V. 1 Druzhkov, Konstantin P. 1 Efremov, V. V. 1 Korostelev, Ivan V. 1 Mirzaokhmedov, Mansur Mavlonovich 1 Verevkin, Igor’ Viktorovich 1 Zabluda, A. V. all top 5 Serials 6 Dinamika Sploshnoĭ Sredy 5 Journal of Applied Mechanics and Technical Physics 5 Journal of Siberian Federal University. Mathematics & Physics 4 Programming and Computer Software 4 Matematicheskoe Modelirovanie 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Vychislitel’nye Tekhnologii 2 Journal of Applied Mathematics and Mechanics 2 Theoretical and Mathematical Physics 2 Differential Equations 2 Journal of Physics A: Mathematical and General 2 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Soviet Mathematics. Doklady 1 European Journal of Applied Mathematics 1 Soviet Physics. Doklady 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematics and its Applications (Dordrecht) 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 47 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 13 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 24 Fields 107 Partial differential equations (35-XX) 64 Fluid mechanics (76-XX) 25 Dynamical systems and ergodic theory (37-XX) 17 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year