Matrix generalizations of integrable systems with Lax integro-differential representations
Exactly Solvable and Integrable Systems
2013-02-20 v1 Mathematical Physics
math.MP
Abstract
We present (2+1)-dimensional generalizations of the k-constrained Kadomtsev-Petviashvili (k-cKP) hierarchy and corresponding matrix Lax representations that consist of two integro-differential operators. Additional reductions imposed on the Lax pairs lead to matrix generalizations of Davey-Stewartson systems (DS-I,DS-II,DS-III) and (2+1)-dimensional extensions of the modified Korteweg-de Vries and the Nizhnik equation. We also present an integro-differential Lax pair for a matrix version of a (2+1)-dimensional extension of the Chen-Lee-Liu equation.
Cite
@article{arxiv.1212.3444,
title = {Matrix generalizations of integrable systems with Lax integro-differential representations},
author = {Oleksandr Chvartatskyi and Yuriy Sydorenko},
journal= {arXiv preprint arXiv:1212.3444},
year = {2013}
}
Comments
11 pages, no figures