TY - JOUR A2 - Wang, Qi-Ru AU - Chen, Hanlin AU - Xu, Zhenhui AU - Dai, Zhengde PY - 2014 DA - 2014/07/17 TI - Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation SP - 378167 VL - 2014 AB - 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. SN - 1085-3375 UR - https://doi.org/10.1155/2014/378167 DO - 10.1155/2014/378167 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -