Classification of integrable Vlasov-type equations

2007/10/31 by A. V. Odesskii, M. V. Pavlov, V. V. Sokolov · 1 citation
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP #math.QA #nlin.SI

paper · pdf · doi:10.1007/s11232-008-0020-0

latex, 15 pages, to appear in Theoretical and Mathematical Physics

arxiv created 2008/01/12 · openalex publication_date 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Classification of integrable Vlasov-type equations is reduced to a functional equation for a generating function. A general solution of this functional equation is found in terms of hypergeometric functions.

Citations

• Classification of integrable hydrodynamic chains and generating functions of conservation laws

Cited by

• Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

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