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arxiv: 1303.6509 · v2 · pith:QHFGAJFBnew · submitted 2013-03-26 · 🌊 nlin.SI · math-ph· math.MP

Additional reductions in the k-constrained modified KP hierarchy

classification 🌊 nlin.SI math-phmath.MP
keywords hierarchyk-constrainedmodifiedadditionalequationkorteweg-dereductionsvries
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Additional reductions in the modified k-constrained KP hierarchy are proposed. As a result we obtain generalizations of Kaup-Broer system, Korteweg-de Vries equation and a modification of Korteweg-de Vries equation that belongs to modified k-constrained KP hierarchy. We also propose solution generating technique based on binary Darboux transformations for the obtained equations.

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