Edit Profile 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 Homepage: http://www.mast.queensu.ca/people/profiles/oleg.php External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 146 Publications since 1971, including 3 Books 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 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 Henriksen, Richard N. 1 Itoh, Yoshiaki 1 Ivakh, G. F. 1 Offin, Daniel C. 1 Peng, Yuyang 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 3 Journal of Applied Mathematics and Mechanics 3 Soviet Mathematics. Doklady 3 Regular and Chaotic Dynamics 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 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) 51 Partial differential equations (35-XX) 39 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) 2 Algebraic geometry (14-XX) 2 Optics, electromagnetic theory (78-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 82 Publications have been cited 443 times in 341 Documents Cited by ▼ Year ▼ Extended integrability and bi-Hamiltonian systems. Zbl 0931.37028Bogoyavlenskij, Oleg I. 46 1998 Breaking solitons in 2+1 dimensional integrable equations. Zbl 0754.35127Bogoyavlenskij, O. I. 40 1990 Overturning solitons in new two-dimensional integrable equations. Zbl 0712.35083Bogoyavlenskij, O. I. 25 1990 Algebraic constructions of integrable dynamical systems: extensions of the Volterra system. Zbl 0774.35013Bogoyavlenskiĭ, O. I. 24 1991 Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions. Zbl 0555.70003Bogoyavlensky, O. I. 16 1985 Some constructions of integrable dynamical systems. Zbl 0695.34045Bogoyavlenskij, O. I. 14 1988 Integrable Lotka-Volterra systems. Zbl 1229.37097Bogoyavlenskij, O. I. 13 2008 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 Necessary conditions for existence of non-degenerate Hamiltonian structures. Zbl 0872.58026Bogoyavlenskij, Oleg I. 12 1996 Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures. Zbl 0861.58021Bogoyavlenskij, Oleg I. 11 1996 New integrable problem of classical mechanics. Zbl 0576.70004Bogoyavlensky, O. I. 11 1984 Integrable dynamical systems associated with the KdV equation. Zbl 0679.58025Bogoyavlenskij, O. I. 9 1988 Dynamics of a gravitating gaseous ellipsoid. Zbl 0352.76068Bogoyavlenskij, O. I. 8 1976 Integrable Euler equations on SO(4) and their physical applications. Zbl 0567.58012Bogoyavlenskij, O. I. 7 1984 A concept of integrability of dynamical systems. Zbl 0882.58022Bogoyavlenskij, Oleg I. 7 1996 Homogeneous solutions of the Einstein equations. Zbl 0428.53035Bogoyavlensky, O. I. 7 1980 Infinite symmetries of the ideal MHD equilibrium equations. Zbl 1011.76096Bogoyavlenskij, Oleg I. 7 2001 General algebraic identities for the Nijenhuis and Haantjes tensors. Zbl 1079.53043Bogoyavlenskij, O. I. 7 2004 Block-diagonalizability problem for hydrodynamic type systems. Zbl 1112.37054Bogoyavlenskij, Oleg I. 6 2006 Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum. Zbl 1159.35394Bogoyavlenskij, O.; Fuchssteiner, B. 6 2005 Method of symmetry transforms for ideal MHD equilibrium equations. Zbl 1062.76059Bogoyavlenskij, Oleg I. 6 2002 Some constructions of integrable dynamical systems. Zbl 0642.34048Bogoyavlenskij, O. I. 5 1987 Exact anisotropic MHD equilibria. Zbl 1060.76135Cheviakov, Alexei F.; Bogoyavlenskij, Oleg I. 5 2004 Integrable Euler equations on Lie algebras arising in problems of mathematical physics. Zbl 0583.58012Bogoyavlenskiĭ, O. I. 5 1985 Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres \(S^ n\). Zbl 0616.70008Bogoyavlenskij, O. I. 5 1986 Overturning solitons. Nonlinear integrable equations. (Oprokidyvayushchiesya solitony. Nelinejnye integriruemye uravneniya.) Zbl 0870.58030Bogoyavlenskij, O. I. 4 1991 Theory of tensor invariants of integrable Hamiltonian systems. II: Theorem on symmetries and its applications. Zbl 0872.58035Bogoyavlenskij, Oleg I. 4 1997 Unsteady equipartition MHD solutions. Zbl 1070.76058Bogoyavlenskij, Oleg I. 4 2004 Algebraic identities for the Nijenhuis tensors. Zbl 1114.53025Bogoyavlenskii, Oleg I. 4 2006 Criteria for existence of a Hamiltonian structure. Zbl 1252.35187Bogoyavlenskij, O. I.; Reynolds, A. P. 4 2010 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 Invariant foliations for the Poisson brackets of hydrodynamic type. Zbl 1236.37035Bogoyavlenskii, Oleg I. 4 2006 Lotka-Volterra systems integrable in quadratures. Zbl 1152.81347Bogoyavlenskij, Oleg; Itoh, Yoshiaki; Yukawa, Tetsuyuki 4 2008 Exact solutions to the Navier-Stokes equations. Zbl 1033.35082Bogoyavlenskij, Oleg I. 4 2002 Overturning solitons. III. Zbl 0789.35138Bogoyavlenskij, O. I. 3 1990 The Lax representation with a spectral parameter for certain dynamical systems. Zbl 0672.35073Bogoyavlenskij, O. I. 3 1988 Five constructions of integrable dynamical systems connected with the Korteweg-de Vries equation. Zbl 0694.35155Bogoyavlenskij, O. I. 3 1988 Integrable problems of the dynamics of coupled rigid bodies. Zbl 0799.70003Bogoyavlenskij, O. I. 3 1992 Existence of Riemann invariants and Hamiltonian structures. Zbl 0804.35109Bogoyavlenskij, O. I. 3 1993 Courant’s problems and their extensions. Zbl 0926.35082Bogoyavlenskij, Oleg I. 3 1999 Decoupling problem for systems of quasi-linear PDE’s. Zbl 1113.37049Bogoyavlenskii, Oleg I. 3 2007 Exact unsteady solutions to the Navier-Stokes and viscous MHD equations. Zbl 1008.35049Bogoyavlenskij, Oleg I. 3 2003 Form-invariant Poisson brackets of hydrodynamic type with several spatial variables. Zbl 1152.81346Bogoyavlenskij, O.; Reynolds, P. 3 2008 Infinite families of exact periodic solutions to the Navier-Stokes equations. Zbl 1056.76020Bogoyavlenskij, Oleg I. 3 2003 Overturning solitons. IV. Zbl 0789.35139Bogoyavlenskij, O. I. 2 1990 Algebraic constructions of certain integrable equations. Zbl 0816.58019Bogoyavlenskij, O. I. 2 1988 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 Overturning solitons. V: Systems of hydrodynamic type. Zbl 0789.35140Bogoyavlenskij, O. I. 2 1991 Invariant incompatible Poisson structures. Zbl 0843.58065Bogoyavlenskij, Oleg I. 2 1995 Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics. Zbl 0794.58019Bogoyavlenskij, O. I. 2 1992 Conformal symmetries of dynamical systems and Poincaré 1892 concept of iso-energetic non-degeneracy. Zbl 0944.37028Bogoyavlenskij, Oleg I. 2 1998 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 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 Invariant dynamical system for a Poisson bracket of hydrodynamic type. Zbl 1203.37128Bogoyavlenskij, Oleg I. 2 2007 Vortex knots for the spheromak fluid flow and their moduli spaces. Zbl 1381.35125Bogoyavlenskij, Oleg 2 2017 Overturning solitons. II. Zbl 0789.35137Bogoyavlenskij, O. I. 1 1989 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 The investigation of some self-similar solutions of Einstein’s equations. Zbl 0539.53021Bogoyavlensky, O. I.; Moschetti, G. 1 1982 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 General integrable problems of classical mechanics. Zbl 0782.58026Bogoyavlenskij, O. I. 1 1993 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 Integrable dynamical systems connected with the Korteweg-de Vries equations. Zbl 0648.58015Bogoyavlenskij, O. I. 1 1987 The A-B-C cohomologies for dynamical systems. Zbl 0886.58001Bogoyavlenskij, Oleg I. 1 1996 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 Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator. Zbl 0373.34013Bogojavlenskii, O. I. 1 1976 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 Schouten tensor and bi-Hamiltonian systems of hydrodynamic type. Zbl 1111.37051Bogoyavlenskij, Oleg I. 1 2006 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 Necessary conditions for the separability of systems of partial differential equations of arbitrary order. Zbl 1076.35009Bogoyavlenskiĭ, O. I. 1 2005 Tensor invariants of the Poisson brackets of hydrodynamic type. Zbl 1204.53067Bogoyavlenskij, Oleg I. 1 2008 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 Moduli spaces of vortex knots for an exact fluid flow. Zbl 1355.76074Bogoyavlenskij, Oleg 1 2017 Vortex knots for the spheromak fluid flow and their moduli spaces. Zbl 1381.35125Bogoyavlenskij, Oleg 2 2017 Moduli spaces of vortex knots for an exact fluid flow. Zbl 1355.76074Bogoyavlenskij, Oleg 1 2017 Criteria for existence of a Hamiltonian structure. Zbl 1252.35187Bogoyavlenskij, O. I.; Reynolds, A. P. 4 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. 13 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 Block-diagonalizability problem for hydrodynamic type systems. Zbl 1112.37054Bogoyavlenskij, Oleg I. 6 2006 Algebraic identities for the Nijenhuis tensors. Zbl 1114.53025Bogoyavlenskii, Oleg I. 4 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. 1 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. 7 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 Exact unsteady solutions to the Navier-Stokes and viscous MHD equations. Zbl 1008.35049Bogoyavlenskij, Oleg I. 3 2003 Infinite families of exact periodic solutions to the Navier-Stokes equations. Zbl 1056.76020Bogoyavlenskij, 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. 46 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. 12 1996 Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures. Zbl 0861.58021Bogoyavlenskij, Oleg I. 11 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. 3 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. 24 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. 40 1990 Overturning solitons in new two-dimensional integrable equations. Zbl 0712.35083Bogoyavlenskij, O. I. 25 1990 Overturning solitons. III. Zbl 0789.35138Bogoyavlenskij, O. I. 3 1990 Overturning solitons. IV. Zbl 0789.35139Bogoyavlenskij, O. I. 2 1990 Overturning solitons. II. Zbl 0789.35137Bogoyavlenskij, O. I. 1 1989 Some constructions of integrable dynamical systems. Zbl 0695.34045Bogoyavlenskij, O. I. 14 1988 Integrable dynamical systems associated with the KdV equation. Zbl 0679.58025Bogoyavlenskij, O. I. 9 1988 The Lax representation with a spectral parameter for certain dynamical systems. Zbl 0672.35073Bogoyavlenskij, O. I. 3 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. 2 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 Some solutions of Einstein’s equations with shock waves. Zbl 0645.76135Anile, A. M.; Moschetti, G.; Bogoyavlenskij, O. I. 1 1987 Integrable dynamical systems connected with the Korteweg-de Vries equations. Zbl 0648.58015Bogoyavlenskij, 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. 16 1985 Integrable Euler equations on Lie algebras arising in problems of mathematical physics. Zbl 0583.58012Bogoyavlenskiĭ, O. I. 5 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. 11 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 411 Authors 29 Bogoyavlenskij, Oleg Igorevich 10 Cheviakov, Alexei F. 9 Tsyganov, Andreĭ Vladimirovich 6 Yagasaki, Kazuyuki 5 Evripidou, Charalampos A. 5 Falqui, Gregorio 5 Fassò, Francesco 5 Huang, Kaiyin 5 Kharlamov, Mikhail P. 5 Nguyen Tien Zung 5 Shi, Shaoyun 5 Tondo, Giorgio 5 Vanhaecke, Pol 5 Zhang, Xiang 4 Bluman, George W. 4 Damianou, Pantelis Andrea 4 Fuchssteiner, Benno 4 Gushchin, Anatoliĭ Konstantinovich 4 Ignat’ev, Yu. G. 4 Li, Wenlei 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 Geng, Xianguo 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 Sardón, Cristina 3 3 Szydłowski, Marek 3 Tanwar, Dig Vijay 3 Tempesta, Piergiulio 3 Tunitskiĭ, Dmitriĭ Vasil’evich 3 Wazwaz, Abdul-Majid Abdul-Rahman 3 Yamanaka, Shogo 3 Yamilov, Ravil Islamovich 3 Yehia, Hamad M. 3 Zieliński, Janusz 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 Estévez, Pilar G. 2 Fedorov, Yuri N. 2 Foulquié Moreno, Ana Pilar 2 Frè, Pietro Giuseppe 2 Golda, Zdzisław A. 2 Heller, Michał P. 2 Hone, Andrew N. W. 2 Hounkonnou, Mahouton Norbert 2 Kokh, I. A. 2 Kumar, Raj 2 Landalidji, Mahougnon Justin 2 Levi, Decio 2 Magri, Franco 2 Mamaev, Ivan Sergeevich 2 Marciniak, Krzysztof 2 Motonaga, Shoya 2 Rajakumar, Somasundaram 2 Ratiu, Tudor Stefan 2 Reynolds, Alan P. 2 Sahadevan, Ramajayam 2 Sansonetto, Nicola 2 Sławianowski, Jan Jerzy 2 Sorokin, Vladimir N. 2 Stoilov, Nikola M. 2 Strizhova, Nadezhda A. 2 van der Kamp, Peter H. 2 Van Iseghem, Jeannette 2 Weil, Jacques-Arthur 2 Wu, Hua 2 Yu, Songju 1 Acosta Humánez, Primitivo Belén 1 Adams, Ross M. 1 Adler, Mark 1 Agathonov, A. A. 1 Al’ber, Solomon J. ...and 311 more Authors all top 5 Cited in 109 Serials 40 Journal of Mathematical Physics 23 Journal of Geometry and Physics 15 Communications in Mathematical Physics 15 Theoretical and Mathematical Physics 15 Regular and Chaotic Dynamics 11 General Relativity and Gravitation 11 Journal of Nonlinear Mathematical Physics 8 Physics Letters. A 8 Reports on Mathematical Physics 8 Physica D 7 Nonlinear Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinearity 6 Applied Mathematics and Computation 5 Computers & Mathematics with Applications 5 Journal of Applied Mathematics and Mechanics 5 International Journal of Geometric Methods in Modern Physics 5 Proceedings of the Steklov Institute of Mathematics 4 Russian Mathematical Surveys 4 Applied Mathematics Letters 4 Differential Geometry and its Applications 4 Journal of Mathematical Sciences (New York) 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Mathematical Analysis and Applications 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 International Journal of Theoretical Physics 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Geometriae Dedicata 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 Journal of Nonlinear Science 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 Chebyshevskiĭ Sbornik 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Moscow University Mechanics Bulletin 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Advances in Mathematics 1 Annales de l’Institut Fourier 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 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 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 1 Discrete and Continuous Dynamical Systems. Series B 1 Central European Journal of Mathematics 1 Journal of Zhejiang University. Science A 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 Communications in Computational Physics 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics ...and 9 more Serials all top 5 Cited in 45 Fields 181 Dynamical systems and ergodic theory (37-XX) 109 Partial differential equations (35-XX) 75 Mechanics of particles and systems (70-XX) 45 Ordinary differential equations (34-XX) 45 Fluid mechanics (76-XX) 35 Differential geometry (53-XX) 22 Relativity and gravitational theory (83-XX) 18 Quantum theory (81-XX) 16 Nonassociative rings and algebras (17-XX) 12 Difference and functional equations (39-XX) 9 Topological groups, Lie groups (22-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Algebraic geometry (14-XX) 6 Astronomy and astrophysics (85-XX) 5 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-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 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) Citations by Year