Author

Oleg I. Bogoyavlenskij

Observed names: O I Bogoyavlenskij, O. Bogoyavlenskij, O. I. Bogoyavlenskij, O.I. Bogoyavlenskij, Oleg Bogoyavlenskij, Oleg I Bogoyavlenskij

Institution: Queen's University

Observed institutions: Russian Academy of Sciences, University of Waterloo, University of California, Santa Cruz, The Graduate University for Advanced Studies, SOKENDAI, Queen's University, Steklov Mathematical Institute, Queens University, Fields Institute for Research in Mathematical Sciences

ORCID: 0000-0003-0808-1071

Observed ORCID: 0000-0003-0808-1071

OpenAlex ID: A5017880852

Extended Integrability and Bi-Hamiltonian Systems

1998 · Oleg I. Bogoyavlenskij · Communications in Mathematical Physics · 125

Astrophysical Jets as Exact Plasma Equilibria

2000 · Oleg I. Bogoyavlenskij · Physical Review Letters · 48

Vortex knots for the spheromak fluid flow and their moduli spaces

2017 · Oleg Bogoyavlenskij · Journal of Mathematical Analysis and Applications · 43

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Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures

1996 · Oleg I. Bogoyavlenskij · Communications in Mathematical Physics · 42

Infinite symmetries of the ideal MHD equilibrium equations

2001 · Oleg I. Bogoyavlenskij · Physics Letters A · 34

Exact unsteady solutions to the Navier–Stokes and viscous MHD equations

2003 · Oleg I. Bogoyavlenskij · Physics Letters A · 33

Symmetry transforms for ideal magnetohydrodynamics equilibria

2002 · Oleg I. Bogoyavlenskij · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 33

Helically symmetric astrophysical jets

2000 · Oleg I. Bogoyavlenskij · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 32

Integrable Lotka-Volterra systems

2008 · O. I. Bogoyavlenskij · Regular and Chaotic Dynamics · 31

Necessary conditions for existence of non-degenerate Hamiltonian structures

1996 · Oleg I. Bogoyavlenskij · Communications in Mathematical Physics · 30

Theory of Tensor Invariants of Integrable Hamiltonian Systems. II. Theorem on Symmetries and Its Applications

1997 · Oleg I. Bogoyavlenskij · Communications in Mathematical Physics · 28

General algebraic identities for the Nijenhuis and Haantjes tensors

2004 · O I Bogoyavlenskij · Izvestiya Mathematics · 22

Exact anisotropic MHD equilibria

2004 · Alexei F Cheviakov, Oleg I Bogoyavlenskij · Journal of Physics A Mathematical and General · 18

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Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria

2009 · Oleg Bogoyavlenskij · Journal of Engineering Mathematics · 16

Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum

2004 · O. Bogoyavlenskij, B. Fuchssteiner · Journal of Geometry and Physics · 16

MHD model of astrophysical jets

2000 · Oleg I. Bogoyavlenskij · Physics Letters A · 15

Counterexamples to Moffatt's statements on vortex knots

2017 · Oleg Bogoyavlenskij · Physical review. E · 14

Moduli spaces of vortex knots for an exact fluid flow

2017 · Oleg Bogoyavlenskij · Journal of Mathematical Physics · 14

Infinite Families of Exact Periodic Solutions to the Navier—Stokes Equations

2003 · O. Bogoyavlenskij · Moscow Mathematical Journal · 14

Block-diagonalizability problem for hydrodynamic type systems

2006 · Oleg I. Bogoyavlenskij · Journal of Mathematical Physics · 13

Algebraic identities for the Nijenhuis tensors

2006 · Oleg I. Bogoyavlenskij · Differential Geometry and its Applications · 12

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Counterexamples to Parker’s theorem

2000 · Oleg I. Bogoyavlenskij · Journal of Mathematical Physics · 12

Method of symmetry transforms for ideal MHD equilibrium equations

2002 · Oleg I. Bogoyavlenskij · Contemporary mathematics - American Mathematical Society · 11

Chaotic streaklines in new exact solutions to the Navier–Stokes equations

2021 · Oleg Bogoyavlenskij, Robert Kipka · Physics of Fluids · 10

Criteria for existence of a Hamiltonian structure

2010 · O. I. Bogoyavlenskij, A. P. Reynolds · Regular and Chaotic Dynamics · 10

Works count: 75

Citation count: 818

H-index: 15

I10-index: 26