The structure of rationally factorized Lax type flows and their analytical integrability
Exactly Solvable and Integrable Systems
2017-11-22 v4 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1707.03015,
title = {The structure of rationally factorized Lax type flows and their analytical integrability},
author = {M. Vovk and P. Pukach and O. Hentosh and Y. A. Prykarpatsky},
journal= {arXiv preprint arXiv:1707.03015},
year = {2017}
}
Comments
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