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We introduce a new generalization of matrix (1+1)-dimensional k-constrainedKP hierarchy. The new hierarchy contains matrix generalizations of stationaryDS systems, (2+1)-dimensional modified Korteweg-de Vries equation and theNizhnik equation. A binary Darboux transformation method is proposed forintegration of systems from this hierarchy.

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