Liouville correspondences between multicomponent integrable hierarchies

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

Research output: Contribution to journalArticle


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)
Issue number1
StatePublished - Jul 1 2020
Externally publishedYes


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

Fingerprint Dive into the research topics of 'Liouville correspondences between multicomponent integrable hierarchies'. Together they form a unique fingerprint.

  • Cite this