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arXiv · 1409.5444

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

Oleksandr Chvartatskyi·Yuriy Sydorenko
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Abstract

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 equation and the $N$-wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies.

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Oleksandr Chvartatskyi, Yuriy Sydorenko. 2014-09-18. Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy. https://doi.org/10.3842/sigma.2015.028

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