On some integrable generalizations of the continuous Toda system

Autor:	M. V. Saveliev
Rok vydání:	1996
Předmět:	Pure mathematics Integrable system Homogeneous Mathematical analysis Holomorphic function Statistical and Nonlinear Physics Connection form Torus Diffeomorphism Linear subspace Mathematical Physics Mathematics Connection (mathematics)
Zdroj:	Theoretical and Mathematical Physics. 108:1003-1012
ISSN:	1573-9333 0040-5779
Popis:	In the present paper, we obtain some integrable generalizations of the continuous Toda system generated by a flat connection form taking values in higher grading subspaces of the algebra of the area-preserving diffeomorphism of the torus T2 and construct their general solutions. The grading condition we use here, imposed on the connection, can be realized in terms of holomorphic distributions on the corresponding homogeneous spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::20bf25d24d0c858d6f8877d053afbf66 https://doi.org/10.1007/bf02070671 Zobrazit plný text záznamu Full text from SpringerLink