Classification of integrable Vlasov-type equations

DOI10.1007/s11232-008-0020-0zbMath1146.76061arXiv0710.5655OpenAlexW3101355982MaRDI QIDQ949186

Vladimir Sokolov, Alexander Odesskii, Maxim P. Pavlov

Publication date: 21 October 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5655

zbMATH Keywords

hypergeometric functionsgenerating functionhydrodynamic reductionintegrable hydrodynamic chain

Mathematics Subject Classification ID

Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (8)

Integrable elliptic pseudopotentials ⋮ Application of the hydrodynamic substitution for systems of equations with the same principal part ⋮ Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences ⋮ On classical integrability of the hydrodynamics of quantum integrable systems ⋮ Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows ⋮ Integrable pseudopotentials related to generalized hypergeometric functions ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

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