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

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    • 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



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

  • Pramana – Journal of Physics | News

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