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Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation
Zhengde Dai Chuanjian Wang Jun Liu
Research Articles Volume 83 Issue 4 October 2014 pp 473-480
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Permanent link:
https://www.ias.ac.in/article/fulltext/pram/083/04/0473-0480 -
Keywords
Homoclinic breather limit ;rational homoclinic wave ;rogue wave ;Boussinesq equation. -
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.
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Author Affiliations
Zhengde Dai1 Chuanjian Wang2 Jun Liu3
- School of Mathematics and Physics, Yunnan University, Kunming 650091, People’s Republic of China
- School of Science, Kunming University of Science and Technology, Kunming 650031, People’s Republic of China
- Department of Mathematics and Information Science, Qujing Normal University, Qujing 655000, People’s Republic of China
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Dates
- Published
- October 2014
- Manuscript received
- 8 October 2013
- Manuscript revised
- 11 February 2014
- Accepted
- 25 February 2014
- Early published
- 13 August 2014
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Pramana – Journal of Physics
Volume 97, 2023
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