# 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.

## One Citation

Darboux Transformations for (2 + 1)-Dimensional Extensions of the KP Hierarchy

- Mathematics, Physics
- 2015

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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