Classification of integrable Vlasov-type equations
Abstract
The classification of integrable Vlasov-type equations reduces to a functional equation for a generating function. We find a general solution of this functional equation in terms of hypergeometric functions.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- February 2008
- DOI:
- 10.1007/s11232-008-0020-0
- arXiv:
- arXiv:0710.5655
- Bibcode:
- 2008TMP...154..209O
- Keywords:
-
- integrable hydrodynamic chain;
- hydrodynamic reduction;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- latex, 15 pages, to appear in Theoretical and Mathematical Physics