|
|||||
|
|
Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation |
|
| Authors: | ZHENGDE DAI CHUANJIAN WANG JUN LIU |
| Institution: | 1. School of Mathematics and Physics, Yunnan University, Kunming, 650091, People’s Republic of China 2. School of Science, Kunming University of Science and Technology, Kunming, 650031, People’s Republic of China 3. Department of Mathematics and Information Science, Qujing Normal University, Qujing, 655000, People’s Republic of China |
| Abstract: | A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (1+1)-dimensional Boussinesq equation is used as an example to illustrate the effectiveness of the suggested method. Rational homoclinic wave solution, a new family of two-wave solution, is obtained by inclined periodic homoclinic breather wave solution and is just a rogue wave solution. This result shows that rogue wave originates by the extreme behaviour of homoclinic breather wave in (1+1)-dimensional nonlinear wave fields. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |