Reduction groups and related integrable difference systems of NLS type
Exactly Solvable and Integrable Systems
2015-09-02 v1
Abstract
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schr\"odinger type equations. We consider all possible finite reduction groups and construct corresponding Lax operators, Darboux transformations, hierarchies of integrable differential-difference equations, integrable partial difference systems and associated scalar partial difference equations.
Cite
@article{arxiv.1503.06406,
title = {Reduction groups and related integrable difference systems of NLS type},
author = {S. Konstantinou-Rizos and A. V. Mikhailov and P. Xenitidis},
journal= {arXiv preprint arXiv:1503.06406},
year = {2015}
}
Comments
25 pages