A four-component Camassa-Holm type hierarchy

We consider a 3\(\times\)3 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for the associated hierarchy. Some possible reductions are also studied.

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Bibliographic Details
Published inarXiv.org
Main Authors Li, Nianhua, Liu, Q P, Popowicz, Z
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.10.2013
Subjects
Fluid dynamics
Partial differential equations
Physics - Exactly Solvable and Integrable Systems
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Summary:We consider a 3\(\times\)3 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for the associated hierarchy. Some possible reductions are also studied.
ISSN:2331-8422
DOI:10.48550/arxiv.1310.1781