Additional Reductions in the K -Constrained Modified KP Hierarchy

@article{Chvartatskyi2013AdditionalRI,
  title={Additional Reductions in the K -Constrained Modified KP Hierarchy},
  author={Oleksandr Chvartatskyi and Yuriy Sydorenko},
  journal={Journal of Mathematical Sciences},
  year={2013},
  volume={212},
  pages={349-369}
}
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 modification of the Korteweg–de-Vries equation that belongs to the modified k-constrained KP hierarchy. We also propose a solution generating technique based on binary Darboux transformations for the obtained equations. 
1 Citations
Darboux Transformations for (2 + 1)-Dimensional Extensions of the KP Hierarchy
New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of (2 + 1)dimensional integrable equations, including the DS-III

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