On application of Liouville type equations to constructing B\"acklund transformations
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
It is shown how pseudoconstants of the Liouville-type equations can be exploited as a tool for construction of the B\"acklund transformations. Several new examples of such transformations are found. In particular we obtained the B\"acklund transformations for a pair of three-component analogs of the dispersive water wave system, and auto-B\"acklund transformations for coupled three-component KdV-type systems.
Cite
@article{arxiv.nlin/0608007,
title = {On application of Liouville type equations to constructing B\"acklund transformations},
author = {Dmitry K. Demskoi},
journal= {arXiv preprint arXiv:nlin/0608007},
year = {2015}
}
Comments
11 pages, no figures