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

We introduce a new generalization of matrix (1+1)-dimensional$k$-constrained KP hierarchy. The new hierarchy contains matrixgeneralizations of stationary DS systems, (2+1)-dimensionalmodified Korteweg-de Vries equation and the Nizhnik equation. Abinary Darboux transformation method is proposed forintegration of systems from this hierarchy.