Dual Hierarchies of a Multi-Component Camassa-Holm System

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Abstract

In this paper, we derive the bi-Hamiltonian structure of a multi-component Camassa-Holm system, which associates with the multi-component AKNS hierarchy and multi-component KN hierarchy via the tri-Hamiltonian duality method. Furthermore, the spectral problems of the dual hierarchies may be obtained.

Original languageEnglish
Pages (from-to)372-378
Number of pages7
JournalCommunications in Theoretical Physics
Volume64
Issue number4
DOIs
StatePublished - 1 Oct 2015

Keywords

  • Camasssa-Holm system
  • bi-Hamiltonian structure
  • dual hierarchies

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