Autor:	Marikhin, V. G., Sokolov, V. V.
Rok vydání:	2007
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	In the case of two degree system the pairs of quadratic in momenta Hamiltonians commuting according the standard Poisson bracket are considered. The new many-parametrical families of such pairs are founded. The universal method of constructing the full solution of Hamilton - Jacobi equation in terms of integrals on some algebraic curve is proposed. For some examples this curve is non-hyperelliptic covering over the elliptic curve. Comment: 14 pages, proof of Theorem 1 added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0710.4035 Zobrazit plný text záznamu View this record from Arxiv