• OpenAccess
  • Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations  [ICPDE 2016]
  • DOI: 10.4236/jamp.2016.47138   PP.1305 - 1310
  • Author(s)
  • Yuanli Li, Qilao Zha
  • This paper is contributed to study two new integrable four-component systems reduced from a multi-component generation of Camassa-Holm equation. Some double peakon solutions of both systems are described in an explicit formula by the method of variation of constant for ordinary differential equations. These double peakon solutions are established in weak sense. The dynamic behaviors of the obtained double peakon solutions are illustrated by some figures.

  • Peakon Solution, Dynamic Behavior, Four-Component CH Type Equation
  • References
  • [1]
    Camassa, R. and Holm, D.D. (1993) An Integrable Shallow Water Equation with Peaked Solitons. Physical Review Letters, 71, 1661-1664.
    Fuchssteiner, B. and Fokas, A.S. (1981) Symplectic Structures, Their Backlund Transformations and Hereditary Symmetries. Physcia D, 4, 47-66.
    Xia, B.Q. and Qiao, Z.J. (2015) A Synthetical Two-Component Model with Peakon Solutions. Studies in Applied Mathematics, 135, 248-276.
    Geng, X.G. and Xue, B. (2011) A three-Component Generation of Camassa-Holm Equation with N-Peakon Solutions. Advances in Mathematics, 226, 827-839.
    Xia, B.Q. and Qiao, Z.J. (2015) Multi-Component Generalization of Camassa-Holm Equation. arXiv:1310.0268v2

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