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

Hanlin Chen, Zhenhui Xu and Zhengde Dai

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/378167

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:378167

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