Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Exactly Solvable and Integrable Systems
2015-04-13 v3
Abstract
New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of -dimensional integrable equations, including the DS-III equation and the -wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies.
Keywords
Cite
@article{arxiv.1409.5444,
title = {Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy},
author = {Oleksandr Chvartatskyi and Yuriy Sydorenko},
journal= {arXiv preprint arXiv:1409.5444},
year = {2015}
}