Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation. (17th July 2014)

• Record Type: Journal Article
• Authors: Chen, Hanlin; Xu, Zhenhui; Dai, Zhengde
• Other Names: Wang Qi-Ru Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-07-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/378167
• Languages: English
• ISSNs: 1085-3375

Abstract

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.