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Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion

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  • Haixia Zhao
  • Lijing Qiao
  • Shengqiang Tang

Abstract

We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given.

Suggested Citation

  • Haixia Zhao & Lijing Qiao & Shengqiang Tang, 2014. "Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:934987
    DOI: 10.1155/2014/934987
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