A new (1+1)-dimensional matrix k-constrained KP hierarchy

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.

20 pages. arXiv admin note: substantial text overlap with arXiv:1303.6510