Wednesday, March 27, 2013

1303.6509 (Oleksandr Chvartatskyi et al.)

Additional reductions in the k-constrained modified KP hierarchy    [PDF]

Oleksandr Chvartatskyi, Yuriy Sydorenko
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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