Quad-equations and auto-B\"acklund transformations of NLS-type systems
Exactly Solvable and Integrable Systems
2014-01-29 v2
Abstract
Treating an integrable quad-equation along with its two generalised symmetries as a compatible system allows one to construct an auto-B\"acklund transformation for solutions of the related NLS-type system. A fixed periodic reduction of the quad-equation yields a quasi-periodic reduction of its generalised symmetries that turn them into differential constraints compatible with the NLS-type system.
Cite
@article{arxiv.1310.5769,
title = {Quad-equations and auto-B\"acklund transformations of NLS-type systems},
author = {Dmitry K Demskoi},
journal= {arXiv preprint arXiv:1310.5769},
year = {2014}
}