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 [...]-dimensional integrable equations, including the DS-III equation and the [...]-wave problem. Furthermore, we recover a system that contains two types of the...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2015-01, Vol.11
1. Verfasser: Chvartatskyi, Oleksandr
Format: Artikel
Sprache:eng
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Zusammenfassung:New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of [...]-dimensional integrable equations, including the DS-III equation and the [...]-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. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2015.028