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    • On the integrability of some two-component Camassa–Holm-type systems

      HONGMIN LI XIAOYONG LI

      Research Article Volume 92 Issue 4 April 2019 Article ID 0065

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/092/04/0065

    • Keywords

       

      Camassa–Holm-type system; Lax pair; bi-Hamiltonian structure

    • Abstract

       

      Some two-component Camassa–Holm-type systems are proposed. These systems are shown to be integrable with Lax pairs and bi-Hamiltonian structures. We construct dual hierarchies of these two-component Camassa–Holm-type systems via the tri-Hamiltonian duality method, and derive spectral problems of these dual hierarchies.

    • Author Affiliations

       

      HONGMIN LI1 XIAOYONG LI1

      1. School of Mathematics, Huaqiao University, Quanzhou 362021, Fujian, People’s Republic of China

    • Dates

       
      Published
      1 April 2019
      Manuscript received
      16 March 2018
      Manuscript revised
      6 September 2018
      Accepted
      14 September 2018
      Early published
      Unedited version published online
      Final version published online
      26 February 2019

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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