A new (1+1)-dimensional matrix k-constrained KP hierarchy
Exactly Solvable and Integrable Systems
2013-03-29 v1
Abstract
We introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensional modified Korteweg-de Vries equation and the Nizhnik equation. A binary Darboux transformation method is proposed for integration of systems from this hierarchy.
Cite
@article{arxiv.1303.7064,
title = {A new (1+1)-dimensional matrix k-constrained KP hierarchy},
author = {Oleksandr Chvartatskyi and Yuriy Sydorenko},
journal= {arXiv preprint arXiv:1303.7064},
year = {2013}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:1303.6510