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arxiv: 0710.5655 · v2 · submitted 2007-10-30 · 🌊 nlin.SI · hep-th· math-ph· math.MP· math.QA

Classification of integrable Vlasov-type equations

classification 🌊 nlin.SI hep-thmath-phmath.MPmath.QA
keywords classificationequationequationsfunctionalintegrablevlasov-typefoundfunction
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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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