Construction and separability of nonlinear soliton integrable couplings
Exactly Solvable and Integrable Systems
2016-02-18 v1
Abstract
A very natural construction of integrable extensions of soliton systems is presented. The extension is made on the level of evolution equations by a modification of the algebra of dynamical fields. The paper is motivated by recent works of Wen-Xiu Ma et al. (Comp. Math. Appl. 60 (2010) 2601, Appl. Math. Comp. 217 (2011) 7238), where new class of soliton systems, being nonlinear integrable couplings, was introduced. The general form of solutions of the considered class of coupled systems is described. Moreover, the decoupling procedure is derived, which is also applicable to several other coupling systems from the literature.
Keywords
Cite
@article{arxiv.1202.2682,
title = {Construction and separability of nonlinear soliton integrable couplings},
author = {Maciej Blaszak and Blazej M. Szablikowski and Burcu Silindir},
journal= {arXiv preprint arXiv:1202.2682},
year = {2016}
}
Comments
letter, 10 pages