Integrable evolution equations with constant separant

Autor:	Meshkov, A. G., Sokolov, V. V.
Rok vydání:	2013
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 35Q53
Zdroj:	Ufa Mathematical Journal 4 N3 (2012) 104-153
Druh dokumentu:	Working Paper
Popis:	The survey provides classification results for integrable one-field evolution equations of orders 2, 3 and 5 with the constant separant. The classification is based on necessary integrability conditions following from the existence of the formal recursion operator for integrable equations. Recurrent formulas for the whole infinite sequence of necessary conditions are presented for the first time. The most of the classification statements can be found in papers by S.I. Svinilupov and V.V. Sokolov but the proofs have never been published before. The result concerning the fifth order equations is stronger than obtained before. Comment: 51 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.6010 Zobrazit plný text záznamu View this record from Arxiv