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Abstract and Applied Analysis
Volume 2014, Article ID 378167, 7 pages
Research Article

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

1Joint Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang 621010, China
2Applied Technology College, Southwest University of Science and Technology, Mianyang 621010, China
3School of Mathematics and Physics, Yunnan University, Kunming 650091, China

Received 27 March 2014; Accepted 3 July 2014; Published 17 July 2014

Academic Editor: Qi-Ru Wang

Copyright © 2014 Hanlin Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.