%0 Journal Article %T A new (1+1)-dimensional matrix k-constrained KP hierarchy %A O. I. Chvartatskyi %A Yu. M. Sydorenko %J Matematychni Studii %D 2013 %I Lviv Mathematical Society, VNTL Publishers %X 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. %K integrable systems %K constraints of KP hierarchy %K stationary Davey-Stewartson system %U http://matstud.org.ua/texts/2013/39_2/164-177.pdf