The structure of rationally factorized Lax type flows and their analytical integrability

Autor:	Vovk, M., Pukach, P., Hentosh, O., Prykarpatsky, Y. A.
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 17B68 17B80 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10
Druh dokumentu:	Working Paper
Popis:	The work is devoted to constructing a wide class of differential-functional dynamical systems, whose rich algebraic structure makes their integrability analytically effective. In particular, there is analyzed in detail the operator Lax type equations for factorized seed elements, there is proved an important theorem about their operator factorization and the related analytical solution scheme to the corresponding nonlinear differential-functional dynamical systems. Comment: 11 pages Report for the International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach held on 18 - 23 September, 2017 in Lviv, Ukraine
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.03015 Zobrazit plný text záznamu View this record from Arxiv