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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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:378167
DOI: 10.1155/2014/378167
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