# A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy

@article{Chvartatskyi2013ANB, title={A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy}, author={Oleksandr Chvartatskyi and Yuriy Sydorenko}, journal={Journal of Mathematical Physics}, year={2013}, volume={54}, pages={113508} }

We introduce a new bidirectional generalization of (2+1)-dimensional k-constrained Kadomtsev-Petviashvili (KP) hierarchy ((2+1)-BDk-cKPH). This new hierarchy generalizes (2+1)-dimensional k-cKP hierarchy, (tA, τB) and (γA, σB) matrix hierarchies. (2+1)-BDk-cKPH contains a new matrix (1+1)-k-constrained KP hierarchy. Some members of (2+1)-BDk-cKPH are also listed. In particular, it contains matrix generalizations of Davey-Stewartson (DS) systems, (2+1)-dimensional modified Korteweg-de Vries…

## 2 Citations

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…

Additional Reductions in the K -Constrained Modified KP Hierarchy

- Mathematics, Physics
- 2013

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…

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