Classification of integrable Vlasov-type equations
Exactly Solvable and Integrable Systems
2009-11-13 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.0710.5655,
title = {Classification of integrable Vlasov-type equations},
author = {A. V. Odesskii and M. V. Pavlov and V. V. Sokolov},
journal= {arXiv preprint arXiv:0710.5655},
year = {2009}
}
Comments
latex, 15 pages, to appear in Theoretical and Mathematical Physics