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.

View original: http://arxiv.org/abs/1303.6509