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A new (1+1)-dimensional matrix $k$-constrained KP hierarchy
Journal: Matematychni Studii (Vol.39, No. 2)Publication Date: 2013-04-01
Authors : Chvartatskyi O. I.; Sydorenko Yu. M.;
Page : 164-177
Keywords : integrable systems; constraints of KP hierarchy; stationary Davey-Stewartson system;
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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.
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Last modified: 2014-01-13 20:09:36