Open Access
2014 Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation
Hanlin Chen, Zhenhui Xu, Zhengde Dai
Abstr. Appl. Anal. 2014(SI53): 1-7 (2014). DOI: 10.1155/2014/378167


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.


Download Citation

Hanlin Chen. Zhenhui Xu. Zhengde Dai. "Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation." Abstr. Appl. Anal. 2014 (SI53) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022258
MathSciNet: MR3240534
Digital Object Identifier: 10.1155/2014/378167

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
Back to Top