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Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation

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  • Hanlin Chen
  • Zhenhui Xu
  • Zhengde Dai

Abstract

A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.

Suggested Citation

  • Hanlin Chen & Zhenhui Xu & Zhengde Dai, 2014. "Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:378167
    DOI: 10.1155/2014/378167
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    Cited by:

    1. Essama, Bedel Giscard Onana & Bisse, Jacquie Therese Ngo & Essiane, Salome Ndjakomo & Atangana, Jacques, 2022. "M-shaped and other exotic solitons generated by cubic-quintic saturable nonlinearities in a nonlinear electrical transmission network with higher-order dispersion effects," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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