Additional reductions in the K-constrained modified KP hierarchy

O Chvartatskyi, Y Sydorenko - ar**s that generalize the classical Darboux transformation
is constructed in explicit form. Using as an example the well-known Davey–Stewartson (DS) …

Additional Reductions in the K-Constrained Modified KP Hierarchy.

O Chvartatskyi, Y Sydorenko - Journal of Mathematical …, 2016 - search.ebscohost.com
Additional reductions are proposed for the modified k-constrained KP hierarchy. As a result,
we obtain generalizations of Kaup-Broer system, Korteweg-de-Vries equation, and a …

[PDF][PDF] Integration of Bi-Hamiltonian Systems by Using the Dressing Method

Y BERKELA, CB Reserve - Proceedings of Institute of Mathematics of …, 2004 - academia.edu
The paper [1] introduces the so-called scalar D-Hermitian constrained modified Kadomtsev–
Petviashvili (DHcmKP) hierarchy. The integrable systems of this hierarchy contain already …