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 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...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1303.7064 |