Classification of integrable Vlasov-type equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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

Scientific paper

10.1007/s11232-008-0020-0

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.

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