Additional reductions in the k-constrained modified KP hierarchy
Exactly Solvable and Integrable Systems
2013-12-31 v2 Mathematical Physics
math.MP
Abstract
Additional reductions in the modified k-constrained KP hierarchy are proposed. As a result we obtain generalizations of Kaup-Broer system, Korteweg-de Vries equation and a modification of Korteweg-de Vries equation that belongs to modified k-constrained KP hierarchy. We also propose solution generating technique based on binary Darboux transformations for the obtained equations.
Cite
@article{arxiv.1303.6509,
title = {Additional reductions in the k-constrained modified KP hierarchy},
author = {Oleksandr Chvartatskyi and Yuriy Sydorenko},
journal= {arXiv preprint arXiv:1303.6509},
year = {2013}
}
Comments
14 pages; no figures; submitted to Nonlinear Oscillations