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

Author O. I. Chvartatskyi, Yu. M. Sydorenko
y_sydorenko@franko.lviv.ua, alex.chvartatskyy@gmail.com
Ivan Franko National University of Lviv

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.
Keywords integrable systems; constraints of KP hierarchy; stationary Davey-Stewartson system
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Pages 164-177
Volume 39
Issue 2
Year 2013
Journal Matematychni Studii
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