Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation

Pramana

Chuanjian Wang2¹  Jun Liu³  Zhengde Dai² 

[1] School of Science, Kunming University of Science and Technology, Kunming 650031, People’s Republic of China$$;School of Mathematics and Physics, Yunnan University, Kunming 650091, People’s Republic of China$$;Department of Mathematics and Information Science, Qujing Normal University, Qujing 655000, People’s Republic of China$$

关键词: Homoclinic breather limit;    rational homoclinic wave;    rogue wave;    Boussinesq equation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown