Edit Profile (opens in new tab) Bogoyavlenskij, Oleg Igorevich Compute Distance To: Compute Author ID: bogoyavlenskij.oleg-i Published as: Bogoyavlenskij, O. I.; Bogoyavlenskij, Oleg I.; Bogojavlenskii, O. I.; Bogoyavlenskij, Oleg; Bogoyavlensky, O. I.; Bogoyavlenskij, O.; Bogoyavlenskiĭ, O. I.; Bogoyavlenskii, Oleg I.; Bogojavlenskij, O. I.; Bogoyavlenskiǰ, O. I.; Bogoyavlensky, Oleg more...less Homepage: http://www.mast.queensu.ca/people/profiles/oleg.php External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 147 Publications since 1971, including 3 Books 1 Contribution as Editor Co-Authors: 23 Co-Authors with 25 Joint Publications 835 Co-Co-Authors all top 5 Co-Authors 122 single-authored 7 Novikov, Sergeĭ Petrovich 3 Fuchssteiner, Benno 2 Drozhzhinov, Yuriĭ Nikolaevich 2 Gushchin, Anatoliĭ Konstantinovich 2 Mikhajlov, Valentin Petrovich 2 Moschetti, Gaetano 2 Peng, Yuyang 2 Reynolds, Alan P. 2 Vladimirov, Vasiliĭ Sergeevich 2 Volovich, Igor’ Vasil’evich 2 Zharinov, Victor Victorovich 1 Anile, Angelo Marcello 1 Benenti, Sergio 1 Cheviakov, Alexei F. 1 Coleman, Albert John 1 Fiorentini, Mario 1 Geramita, Anthony Vito 1 Henriksen, Richard N. 1 Itoh, Yoshiaki 1 Ivakh, G. F. 1 Offin, Daniel C. 1 Ribenboim, Paulo 1 Shadwick, William F. 1 Yukawa, Tetsuyuki all top 5 Serials 14 Communications in Mathematical Physics 14 Mathematics of the USSR. Izvestiya 12 Comptes Rendus Mathématiques de l’Académie des Sciences 10 Journal of Mathematical Physics 9 Russian Mathematical Surveys 6 Physics Letters. A 6 Soviet Physics. Doklady 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Regular and Chaotic Dynamics 3 Journal of Applied Mathematics and Mechanics 3 Soviet Mathematics. Doklady 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Journal of Geometry and Physics 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Differential Geometry and its Applications 2 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 2 Trudy Seminara Imeni I. G. Petrovskogo 2 Doklady Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Astronomische Nachrichten 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Soviet Scientific Reviews. Section C 1 Teoreticheskaya i Matematicheskaya Fizika 1 Theoretical and Mathematical Physics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Le Matematiche 1 Selecta Mathematica Sovietica 1 Acta Applicandae Mathematicae 1 Journal of Physics A: Mathematical and General 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Moscow Mathematical Journal 1 Proceedings of the Steklov Institute of Mathematics 1 Queen’s Papers in Pure and Applied Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 74 Dynamical systems and ergodic theory (37-XX) 52 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 36 Mechanics of particles and systems (70-XX) 19 Differential geometry (53-XX) 18 Astronomy and astrophysics (85-XX) 10 Relativity and gravitational theory (83-XX) 8 Topological groups, Lie groups (22-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Algebraic geometry (14-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 496 times in 374 Documents Cited by ▼ Year ▼ Extended integrability and bi-Hamiltonian systems. Zbl 0931.37028Bogoyavlenskij, Oleg I. 53 1998 Breaking solitons in 2+1 dimensional integrable equations. Zbl 0754.35127Bogoyavlenskij, O. I. 48 1990 Algebraic constructions of integrable dynamical systems: extensions of the Volterra system. Zbl 0774.35013Bogoyavlenskiĭ, O. I. 31 1991 Overturning solitons in new two-dimensional integrable equations. Zbl 0712.35083Bogoyavlenskij, O. I. 27 1990 Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions. Zbl 0555.70003Bogoyavlensky, O. I. 18 1985 Some constructions of integrable dynamical systems. Zbl 0695.34045Bogoyavlenskij, O. I. 15 1988 Integrable Lotka-Volterra systems. Zbl 1229.37097Bogoyavlenskij, O. I. 14 2008 Necessary conditions for existence of non-degenerate Hamiltonian structures. Zbl 0872.58026Bogoyavlenskij, Oleg I. 14 1996 The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Zbl 0345.70011Bogojavlenskii, O. I.; Novikov, S. P. 13 1976 Euler equations on finite dimensional Lie algebras arising in physical problems. Zbl 0581.58022Bogoyavlenskij, O. I. 13 1984 New integrable problem of classical mechanics. Zbl 0576.70004Bogoyavlensky, O. I. 12 1984 Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures. Zbl 0861.58021Bogoyavlenskij, Oleg I. 12 1996 Integrable dynamical systems associated with the KdV equation. Zbl 0679.58025Bogoyavlenskij, O. I. 10 1988 General algebraic identities for the Nijenhuis and Haantjes tensors. Zbl 1079.53043Bogoyavlenskij, O. I. 8 2004 Dynamics of a gravitating gaseous ellipsoid. Zbl 0352.76068Bogoyavlenskij, O. I. 8 1976 Block-diagonalizability problem for hydrodynamic type systems. Zbl 1112.37054Bogoyavlenskij, Oleg I. 8 2006 Integrable Euler equations on SO(4) and their physical applications. Zbl 0567.58012Bogoyavlenskij, O. I. 7 1984 Homogeneous solutions of the Einstein equations. Zbl 0428.53035Bogoyavlensky, O. I. 7 1980 A concept of integrability of dynamical systems. Zbl 0882.58022Bogoyavlenskij, Oleg I. 7 1996 Infinite symmetries of the ideal MHD equilibrium equations. Zbl 1011.76096Bogoyavlenskij, Oleg I. 7 2001 Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum. Zbl 1159.35394Bogoyavlenskij, O.; Fuchssteiner, B. 6 2005 Algebraic identities for the Nijenhuis tensors. Zbl 1114.53025Bogoyavlenskii, Oleg I. 6 2006 Integrable Euler equations on Lie algebras arising in problems of mathematical physics. Zbl 0583.58012Bogoyavlenskiĭ, O. I. 6 1985 Method of symmetry transforms for ideal MHD equilibrium equations. Zbl 1062.76059Bogoyavlenskij, Oleg I. 6 2002 Exact anisotropic MHD equilibria. Zbl 1060.76135Cheviakov, Alexei F.; Bogoyavlenskij, Oleg I. 5 2004 Criteria for existence of a Hamiltonian structure. Zbl 1252.35187Bogoyavlenskij, O. I.; Reynolds, A. P. 5 2010 Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres \(S^ n\). Zbl 0616.70008Bogoyavlenskij, O. I. 5 1986 Some constructions of integrable dynamical systems. Zbl 0642.34048Bogoyavlenskij, O. I. 5 1987 The Lax representation with a spectral parameter for certain dynamical systems. Zbl 0672.35073Bogoyavlenskij, O. I. 5 1988 Unsteady equipartition MHD solutions. Zbl 1070.76058Bogoyavlenskij, Oleg I. 4 2004 Lotka-Volterra systems integrable in quadratures. Zbl 1152.81347Bogoyavlenskij, Oleg; Itoh, Yoshiaki; Yukawa, Tetsuyuki 4 2008 Invariant foliations for the Poisson brackets of hydrodynamic type. Zbl 1236.37035Bogoyavlenskii, Oleg I. 4 2006 Exact solutions to the Navier-Stokes equations. Zbl 1033.35082Bogoyavlenskij, Oleg I. 4 2002 Infinite families of exact periodic solutions to the Navier-Stokes equations. Zbl 1056.76020Bogoyavlenskij, Oleg I. 4 2003 Overturning solitons. III. Zbl 0789.35138Bogoyavlenskij, O. I. 4 1990 Overturning solitons. Nonlinear integrable equations. (Oprokidyvayushchiesya solitony. Nelinejnye integriruemye uravneniya.) Zbl 0870.58030Bogoyavlenskij, O. I. 4 1991 Boundary value problems of mathematical physics. Zbl 0627.35080Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 4 1986 Integrable problems of the dynamics of coupled rigid bodies. Zbl 0799.70003Bogoyavlenskij, O. I. 4 1992 Theory of tensor invariants of integrable Hamiltonian systems. II: Theorem on symmetries and its applications. Zbl 0872.58035Bogoyavlenskij, Oleg I. 4 1997 Five constructions of integrable dynamical systems connected with the Korteweg-de Vries equation. Zbl 0694.35155Bogoyavlenskij, O. I. 3 1988 Form-invariant Poisson brackets of hydrodynamic type with several spatial variables. Zbl 1152.81346Bogoyavlenskij, O.; Reynolds, P. 3 2008 Moduli spaces of vortex knots for an exact fluid flow. Zbl 1355.76074Bogoyavlenskij, Oleg 3 2017 Vortex knots for the spheromak fluid flow and their moduli spaces. Zbl 1381.35125Bogoyavlenskij, Oleg 3 2017 Decoupling problem for systems of quasi-linear PDE’s. Zbl 1113.37049Bogoyavlenskii, Oleg I. 3 2007 Courant’s problems and their extensions. Zbl 0926.35082Bogoyavlenskij, Oleg I. 3 1999 Algebraic constructions of certain integrable equations. Zbl 0816.58019Bogoyavlenskij, O. I. 3 1988 Existence of Riemann invariants and Hamiltonian structures. Zbl 0804.35109Bogoyavlenskij, O. I. 3 1993 Exact unsteady solutions to the Navier-Stokes and viscous MHD equations. Zbl 1008.35049Bogoyavlenskij, Oleg I. 3 2003 Methods of the qualitative theory of dynamical systems in astrophysics and gas dynamics. (Metody kachestvennoj teorii dinamicheskikh sistem v astrofizike i gazovoj dinamike). Zbl 0506.76078Bogoyavlenskij, O. I. 2 1980 Invariant dynamical system for a Poisson bracket of hydrodynamic type. Zbl 1203.37128Bogoyavlenskij, Oleg I. 2 2007 Schouten tensor and bi-Hamiltonian systems of hydrodynamic type. Zbl 1111.37051Bogoyavlenskij, Oleg I. 2 2006 Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics. Zbl 0794.58019Bogoyavlenskij, O. I. 2 1992 Overturning solitons. II. Zbl 0789.35137Bogoyavlenskij, O. I. 2 1989 Overturning solitons. IV. Zbl 0789.35139Bogoyavlenskij, O. I. 2 1990 Overturning solitons. V: Systems of hydrodynamic type. Zbl 0789.35140Bogoyavlenskij, O. I. 2 1991 Methods in the qualitative theory of dynamical systems in astrophysics and gas dynamics. Transl. from the Russian by Dmitry Gokhman. Zbl 0579.76001Bogoyavlenskij, Oleg I. 2 1985 Homogeneous models in general relativity and gas dynamics. Zbl 0371.76098Bogojavlenskii, O. I.; Novikov, S. P. 2 1976 Counterexamples to Parker’s theorem. Zbl 0991.76099Bogoyavlenskij, Oleg I. 2 2000 Conformal symmetries of dynamical systems and Poincaré 1892 concept of iso-energetic non-degeneracy. Zbl 0944.37028Bogoyavlenskij, Oleg I. 2 1998 Invariant incompatible Poisson structures. Zbl 0843.58065Bogoyavlenskij, Oleg I. 2 1995 Integrable dynamical systems connected with the Korteweg-de Vries equations. Zbl 0648.58015Bogoyavlenskij, O. I. 2 1987 Necessary conditions for the separability of systems of partial differential equations of arbitrary order. Zbl 1076.35009Bogoyavlenskiĭ, O. I. 1 2005 Boundary value problems of mathematical physics. Zbl 0698.35122Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 1 1988 The investigation of some self-similar solutions of Einstein’s equations. Zbl 0539.53021Bogoyavlensky, O. I.; Moschetti, G. 1 1982 Hamiltonian formalism of homogeneous cosmological model of type IX with electromagnetic field. Zbl 0412.53036Bogoyavlenskij, O. I. 1 1977 Nonlinear oscillation regimes in some physical problems. Zbl 0426.70030Bogoyavlensky, O. I. 1 1979 Method of descent for integrable lattices. Zbl 1187.37084Bogoyavlensky, Oleg 1 2009 Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria. Zbl 1188.76275Bogoyavlenskij, Oleg 1 2010 Tensor invariants of the Poisson brackets of hydrodynamic type. Zbl 1204.53067Bogoyavlenskij, Oleg I. 1 2008 The A-B-C cohomologies for dynamical systems. Zbl 0886.58001Bogoyavlenskij, Oleg I. 1 1996 Algebraic identity for the Schouten tensor and bi-Hamiltonian systems. Zbl 1129.37037Bogoyavlenskij, Oleg I. 1 2007 Overturning solitons. VI: Extension of systems of hydrodynamic type. Zbl 0789.35141Bogoyavlenskij, O. I. 1 1991 Breaking solitons. Systems of hydrodynamic type. Zbl 0754.35126Bogoyavlenskij, O. I. 1 1991 Periodic solutions in a model of pulsar rotation. Zbl 0644.70006Bogoyavlenskiǰ, O. I. 1 1985 Some solutions of Einstein’s equations with shock waves. Zbl 0645.76135Anile, A. M.; Moschetti, G.; Bogoyavlenskij, O. I. 1 1987 Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator. Zbl 0373.34013Bogojavlenskii, O. I. 1 1976 Exact helically symmetric plasma equilibria. Zbl 0973.85003Bogoyavlenskij, Oleg I. 1 2000 Algebraic properties of master symmetries and their applications. Zbl 0958.37032Bogoyavlenskij, O. I. 1 1998 Systems of hydrodynamic type, connected with the Toda lattice and the Volterra model. Zbl 0811.35096Bogoyavlenskij, O. I. 1 1994 General integrable problems of classical mechanics. Zbl 0782.58026Bogoyavlenskij, O. I. 1 1993 Incompatible Poisson structures and integrable Hamiltonian systems. Zbl 0848.58019Bogoyavlenskij, Oleg I. 1 1995 Necessary conditions for the existence of conservation laws for systems of partial differential equations. Zbl 0852.35032Bogoyavlenskij, Oleg I. 1 1995 A cohomology for dynamical systems. Zbl 0857.58018Bogoyavlenskij, Oleg I. 1 1995 Moduli spaces of vortex knots for an exact fluid flow. Zbl 1355.76074Bogoyavlenskij, Oleg 3 2017 Vortex knots for the spheromak fluid flow and their moduli spaces. Zbl 1381.35125Bogoyavlenskij, Oleg 3 2017 Criteria for existence of a Hamiltonian structure. Zbl 1252.35187Bogoyavlenskij, O. I.; Reynolds, A. P. 5 2010 Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria. Zbl 1188.76275Bogoyavlenskij, Oleg 1 2010 Method of descent for integrable lattices. Zbl 1187.37084Bogoyavlensky, Oleg 1 2009 Integrable Lotka-Volterra systems. Zbl 1229.37097Bogoyavlenskij, O. I. 14 2008 Lotka-Volterra systems integrable in quadratures. Zbl 1152.81347Bogoyavlenskij, Oleg; Itoh, Yoshiaki; Yukawa, Tetsuyuki 4 2008 Form-invariant Poisson brackets of hydrodynamic type with several spatial variables. Zbl 1152.81346Bogoyavlenskij, O.; Reynolds, P. 3 2008 Tensor invariants of the Poisson brackets of hydrodynamic type. Zbl 1204.53067Bogoyavlenskij, Oleg I. 1 2008 Decoupling problem for systems of quasi-linear PDE’s. Zbl 1113.37049Bogoyavlenskii, Oleg I. 3 2007 Invariant dynamical system for a Poisson bracket of hydrodynamic type. Zbl 1203.37128Bogoyavlenskij, Oleg I. 2 2007 Algebraic identity for the Schouten tensor and bi-Hamiltonian systems. Zbl 1129.37037Bogoyavlenskij, Oleg I. 1 2007 Block-diagonalizability problem for hydrodynamic type systems. Zbl 1112.37054Bogoyavlenskij, Oleg I. 8 2006 Algebraic identities for the Nijenhuis tensors. Zbl 1114.53025Bogoyavlenskii, Oleg I. 6 2006 Invariant foliations for the Poisson brackets of hydrodynamic type. Zbl 1236.37035Bogoyavlenskii, Oleg I. 4 2006 Schouten tensor and bi-Hamiltonian systems of hydrodynamic type. Zbl 1111.37051Bogoyavlenskij, Oleg I. 2 2006 Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum. Zbl 1159.35394Bogoyavlenskij, O.; Fuchssteiner, B. 6 2005 Necessary conditions for the separability of systems of partial differential equations of arbitrary order. Zbl 1076.35009Bogoyavlenskiĭ, O. I. 1 2005 General algebraic identities for the Nijenhuis and Haantjes tensors. Zbl 1079.53043Bogoyavlenskij, O. I. 8 2004 Exact anisotropic MHD equilibria. Zbl 1060.76135Cheviakov, Alexei F.; Bogoyavlenskij, Oleg I. 5 2004 Unsteady equipartition MHD solutions. Zbl 1070.76058Bogoyavlenskij, Oleg I. 4 2004 Infinite families of exact periodic solutions to the Navier-Stokes equations. Zbl 1056.76020Bogoyavlenskij, Oleg I. 4 2003 Exact unsteady solutions to the Navier-Stokes and viscous MHD equations. Zbl 1008.35049Bogoyavlenskij, Oleg I. 3 2003 Method of symmetry transforms for ideal MHD equilibrium equations. Zbl 1062.76059Bogoyavlenskij, Oleg I. 6 2002 Exact solutions to the Navier-Stokes equations. Zbl 1033.35082Bogoyavlenskij, Oleg I. 4 2002 Infinite symmetries of the ideal MHD equilibrium equations. Zbl 1011.76096Bogoyavlenskij, Oleg I. 7 2001 Counterexamples to Parker’s theorem. Zbl 0991.76099Bogoyavlenskij, Oleg I. 2 2000 Exact helically symmetric plasma equilibria. Zbl 0973.85003Bogoyavlenskij, Oleg I. 1 2000 Courant’s problems and their extensions. Zbl 0926.35082Bogoyavlenskij, Oleg I. 3 1999 Extended integrability and bi-Hamiltonian systems. Zbl 0931.37028Bogoyavlenskij, Oleg I. 53 1998 Conformal symmetries of dynamical systems and Poincaré 1892 concept of iso-energetic non-degeneracy. Zbl 0944.37028Bogoyavlenskij, Oleg I. 2 1998 Algebraic properties of master symmetries and their applications. Zbl 0958.37032Bogoyavlenskij, O. I. 1 1998 Theory of tensor invariants of integrable Hamiltonian systems. II: Theorem on symmetries and its applications. Zbl 0872.58035Bogoyavlenskij, Oleg I. 4 1997 Necessary conditions for existence of non-degenerate Hamiltonian structures. Zbl 0872.58026Bogoyavlenskij, Oleg I. 14 1996 Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures. Zbl 0861.58021Bogoyavlenskij, Oleg I. 12 1996 A concept of integrability of dynamical systems. Zbl 0882.58022Bogoyavlenskij, Oleg I. 7 1996 The A-B-C cohomologies for dynamical systems. Zbl 0886.58001Bogoyavlenskij, Oleg I. 1 1996 Invariant incompatible Poisson structures. Zbl 0843.58065Bogoyavlenskij, Oleg I. 2 1995 Incompatible Poisson structures and integrable Hamiltonian systems. Zbl 0848.58019Bogoyavlenskij, Oleg I. 1 1995 Necessary conditions for the existence of conservation laws for systems of partial differential equations. Zbl 0852.35032Bogoyavlenskij, Oleg I. 1 1995 A cohomology for dynamical systems. Zbl 0857.58018Bogoyavlenskij, Oleg I. 1 1995 Systems of hydrodynamic type, connected with the Toda lattice and the Volterra model. Zbl 0811.35096Bogoyavlenskij, O. I. 1 1994 Existence of Riemann invariants and Hamiltonian structures. Zbl 0804.35109Bogoyavlenskij, O. I. 3 1993 General integrable problems of classical mechanics. Zbl 0782.58026Bogoyavlenskij, O. I. 1 1993 Integrable problems of the dynamics of coupled rigid bodies. Zbl 0799.70003Bogoyavlenskij, O. I. 4 1992 Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics. Zbl 0794.58019Bogoyavlenskij, O. I. 2 1992 Algebraic constructions of integrable dynamical systems: extensions of the Volterra system. Zbl 0774.35013Bogoyavlenskiĭ, O. I. 31 1991 Overturning solitons. Nonlinear integrable equations. (Oprokidyvayushchiesya solitony. Nelinejnye integriruemye uravneniya.) Zbl 0870.58030Bogoyavlenskij, O. I. 4 1991 Overturning solitons. V: Systems of hydrodynamic type. Zbl 0789.35140Bogoyavlenskij, O. I. 2 1991 Overturning solitons. VI: Extension of systems of hydrodynamic type. Zbl 0789.35141Bogoyavlenskij, O. I. 1 1991 Breaking solitons. Systems of hydrodynamic type. Zbl 0754.35126Bogoyavlenskij, O. I. 1 1991 Breaking solitons in 2+1 dimensional integrable equations. Zbl 0754.35127Bogoyavlenskij, O. I. 48 1990 Overturning solitons in new two-dimensional integrable equations. Zbl 0712.35083Bogoyavlenskij, O. I. 27 1990 Overturning solitons. III. Zbl 0789.35138Bogoyavlenskij, O. I. 4 1990 Overturning solitons. IV. Zbl 0789.35139Bogoyavlenskij, O. I. 2 1990 Overturning solitons. II. Zbl 0789.35137Bogoyavlenskij, O. I. 2 1989 Some constructions of integrable dynamical systems. Zbl 0695.34045Bogoyavlenskij, O. I. 15 1988 Integrable dynamical systems associated with the KdV equation. Zbl 0679.58025Bogoyavlenskij, O. I. 10 1988 The Lax representation with a spectral parameter for certain dynamical systems. Zbl 0672.35073Bogoyavlenskij, O. I. 5 1988 Five constructions of integrable dynamical systems connected with the Korteweg-de Vries equation. Zbl 0694.35155Bogoyavlenskij, O. I. 3 1988 Algebraic constructions of certain integrable equations. Zbl 0816.58019Bogoyavlenskij, O. I. 3 1988 Boundary value problems of mathematical physics. Zbl 0698.35122Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 1 1988 Some constructions of integrable dynamical systems. Zbl 0642.34048Bogoyavlenskij, O. I. 5 1987 Integrable dynamical systems connected with the Korteweg-de Vries equations. Zbl 0648.58015Bogoyavlenskij, O. I. 2 1987 Some solutions of Einstein’s equations with shock waves. Zbl 0645.76135Anile, A. M.; Moschetti, G.; Bogoyavlenskij, O. I. 1 1987 Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres \(S^ n\). Zbl 0616.70008Bogoyavlenskij, O. I. 5 1986 Boundary value problems of mathematical physics. Zbl 0627.35080Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 4 1986 Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions. Zbl 0555.70003Bogoyavlensky, O. I. 18 1985 Integrable Euler equations on Lie algebras arising in problems of mathematical physics. Zbl 0583.58012Bogoyavlenskiĭ, O. I. 6 1985 Methods in the qualitative theory of dynamical systems in astrophysics and gas dynamics. Transl. from the Russian by Dmitry Gokhman. Zbl 0579.76001Bogoyavlenskij, Oleg I. 2 1985 Periodic solutions in a model of pulsar rotation. Zbl 0644.70006Bogoyavlenskiǰ, O. I. 1 1985 Euler equations on finite dimensional Lie algebras arising in physical problems. Zbl 0581.58022Bogoyavlenskij, O. I. 13 1984 New integrable problem of classical mechanics. Zbl 0576.70004Bogoyavlensky, O. I. 12 1984 Integrable Euler equations on SO(4) and their physical applications. Zbl 0567.58012Bogoyavlenskij, O. I. 7 1984 The investigation of some self-similar solutions of Einstein’s equations. Zbl 0539.53021Bogoyavlensky, O. I.; Moschetti, G. 1 1982 Homogeneous solutions of the Einstein equations. Zbl 0428.53035Bogoyavlensky, O. I. 7 1980 Methods of the qualitative theory of dynamical systems in astrophysics and gas dynamics. (Metody kachestvennoj teorii dinamicheskikh sistem v astrofizike i gazovoj dinamike). Zbl 0506.76078Bogoyavlenskij, O. I. 2 1980 Nonlinear oscillation regimes in some physical problems. Zbl 0426.70030Bogoyavlensky, O. I. 1 1979 Hamiltonian formalism of homogeneous cosmological model of type IX with electromagnetic field. Zbl 0412.53036Bogoyavlenskij, O. I. 1 1977 The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Zbl 0345.70011Bogojavlenskii, O. I.; Novikov, S. P. 13 1976 Dynamics of a gravitating gaseous ellipsoid. Zbl 0352.76068Bogoyavlenskij, O. I. 8 1976 Homogeneous models in general relativity and gas dynamics. Zbl 0371.76098Bogojavlenskii, O. I.; Novikov, S. P. 2 1976 Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator. Zbl 0373.34013Bogojavlenskii, O. I. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 461 Authors 30 Bogoyavlenskij, Oleg Igorevich 10 Cheviakov, Alexei F. 10 Tsyganov, Andreĭ Vladimirovich 7 Tondo, Giorgio 7 Yagasaki, Kazuyuki 6 Shi, Shaoyun 6 Zhang, Xiang 5 Evripidou, Charalampos A. 5 Falqui, Gregorio 5 Fassò, Francesco 5 Huang, Kaiyin 5 Ignat’ev, Yu. G. 5 Kharlamov, Mikhail Pavlovich 5 Li, Wenlei 5 Nguyen Tien Zung 5 Tempesta, Piergiulio 5 Vanhaecke, Pol 4 Bluman, George W. 4 Damianou, Pantelis Andrea 4 Fuchssteiner, Benno 4 Geng, Xianguo 4 Gushchin, Anatoliĭ Konstantinovich 4 Llibre, Jaume 4 Maciejewski, Andrzej J. 4 Pedroni, Marco 4 Suris, Yuri Borisovich 4 Toda, Kouichi 4 Tudoran, Răzvan Micu 3 Adler, Vsevolod Eduardovich 3 Borisov, Alekseĭ Vladimirovich 3 Ershkov, Sergey V. 3 Fordy, Allan P. 3 Gordoa, Pilar Ruiz 3 Jovanović, Božidar Žarko 3 Kassotakis, Pavlos G. 3 Kirillov, Oleg N. 3 Kumar, Mukesh 3 Ma, Wen-Xiu 3 Mokhov, Oleg I. 3 Müller-Hoissen, Folkert 3 Ortenzi, Giovanni 3 Pickering, Andrew 3 Przybylska, Maria 3 Reyman, Alexey G. 3 Ryabov, Pavel Evgen’evich 3 Sansonetto, Nicola 3 Sardón, Cristina 3 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 3 Szydłowski, Marek 3 Tanwar, Dig Vijay 3 Tunitskiĭ, Dmitriĭ Vasil’evich 3 Wang, Jingping 3 Wazwaz, Abdul-Majid Abdul-Rahman 3 Yamanaka, Shogo 3 Yamilov, Ravil’ Islamovich 3 Yang, Shuangling 3 Yehia, Hamad M. 3 Zieliński, Janusz 2 Alizadeh, As’ad 2 Błaszak, Maciej 2 Bountis, Tassos C. 2 Branquinho, Amílcar José Pinto Lopes 2 Burov, Aleksandr Anatol’evich 2 Camassa, Roberto 2 Chen, Cheng 2 Chen, Yiren 2 Chuev, Nikolaĭ Pavlovich 2 Chvartatskyi, Oleksandr 2 Combot, Thierry 2 Fedorov, Yuri N. 2 Ferapontov, Evgeny Vladimirovich 2 Foulquié Moreno, Ana Pilar 2 Frè, Pietro Giuseppe 2 Golda, Zdzisław A. 2 Gubbiotti, Giorgio 2 Heller, Michał P. 2 Hone, Andrew N. W. 2 Hounkonnou, Mahouton Norbert 2 Ilhan, Onur Alp 2 Kokh, I. A. 2 Kumar, Raj 2 Landalidji, Mahougnon Justin 2 Levi, Decio 2 Magri, Franco 2 Mamaev, Ivan Sergeevich 2 Manafian Heris, Jalil 2 Marciniak, Krzysztof 2 Meiss, James D. 2 Mikhailov, Alexander Vasil’evich 2 Motonaga, Shoya 2 Pavlov, Maxim V. 2 Peng, Yuyang 2 Rajakumar, Somasundaram 2 Ratiu, Tudor Stefan 2 Reynolds, Alan P. 2 Sahadevan, Ramajayam 2 Shang, Yadong 2 Sławianowski, Jan Jerzy 2 Sorokin, Vladimir N. 2 Stoilov, Nikola M. ...and 361 more Authors all top 5 Cited in 118 Serials 40 Journal of Mathematical Physics 24 Journal of Geometry and Physics 17 Communications in Mathematical Physics 17 Regular and Chaotic Dynamics 16 Theoretical and Mathematical Physics 11 General Relativity and Gravitation 11 Journal of Nonlinear Mathematical Physics 10 Physica D 9 Reports on Mathematical Physics 8 Physics Letters. A 8 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinear Dynamics 6 Nonlinearity 6 Applied Mathematics and Computation 6 Applied Mathematics Letters 5 Computers & Mathematics with Applications 5 Journal of Applied Mathematics and Mechanics 5 Journal of Nonlinear Science 5 International Journal of Geometric Methods in Modern Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Proceedings of the Steklov Institute of Mathematics 4 Russian Mathematical Surveys 4 Differential Geometry and its Applications 4 Journal of Mathematical Sciences (New York) 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Letters in Mathematical Physics 3 Geometriae Dedicata 3 Computational Mathematics and Mathematical Physics 3 Sbornik: Mathematics 3 Gravitation & Cosmology 3 Journal of Physics A: Mathematical and Theoretical 3 Communications in Theoretical Physics 3 Journal of Computational Dynamics 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics 2 Journal of Engineering Mathematics 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 International Journal of Modern Physics D 2 Russian Journal of Mathematical Physics 2 Discrete and Continuous Dynamical Systems 2 Journal of High Energy Physics 2 Qualitative Theory of Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Chebyshevskiĭ Sbornik 2 Advances in Mathematical Physics 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Moscow University Mechanics Bulletin 1 Physics Letters. B 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Hiroshima Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Science in China. Series A 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Automation and Remote Control 1 Celestial Mechanics 1 Linear Algebra and its Applications 1 Celestial Mechanics and Dynamical Astronomy 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of the Egyptian Mathematical Society 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Complexity 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Differential Equations 1 Nonlinear Analysis. Real World Applications ...and 18 more Serials all top 5 Cited in 48 Fields 201 Dynamical systems and ergodic theory (37-XX) 123 Partial differential equations (35-XX) 81 Mechanics of particles and systems (70-XX) 51 Ordinary differential equations (34-XX) 50 Fluid mechanics (76-XX) 41 Differential geometry (53-XX) 24 Relativity and gravitational theory (83-XX) 20 Quantum theory (81-XX) 18 Nonassociative rings and algebras (17-XX) 13 Difference and functional equations (39-XX) 9 Topological groups, Lie groups (22-XX) 8 Algebraic geometry (14-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Astronomy and astrophysics (85-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 4 Biology and other natural sciences (92-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Citations by Year