Liouville correspondences between multicomponent integrable hierarchies

Jing Kang, Xiaochuan Liu, P. J. Olver, Changzheng Qu

Research output: Contribution to journalArticle

Abstract

Abstract: We establish Liouville correspondences for the integrable two-component Camassa–Holm hierarchy, the two-component Novikov (Geng–Xue) hierarchy, and the two-component dual dispersive water wave hierarchy using the related Liouville transformations. This extends previous results for scalar Camassa–Holm and KdV hierarchies and Novikov and Sawada–Kotera hierarchies to the multicomponent case.

Original languageEnglish (US)
Pages (from-to)843-874
Number of pages32
JournalTheoretical and Mathematical Physics(Russian Federation)
Volume204
Issue number1
DOIs
StatePublished - Jul 1 2020
Externally publishedYes

Keywords

  • bi-Hamiltonian structure
  • Liouville transformation
  • two-component Camassa–Holm system
  • two-component dual dispersive water wave system
  • two-component Novikov system

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