New homoclinic rogue wave solution for the coupled Schrodinger- Boussinesq equation
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Authors
Longxing Li
- College of Mathematics and Statistics, Qujing Normal University, Qujing, 655000, P. R. China.
Zhengde Dai
- School of Mathematics and Statistics, Yunnan University, Kunming 650091, P. R. China.
Abstract
Exact homoclinic breather wave solution for the coupled Schrödinger -Boussinesq equation is obtained by using homoclinic
test technique. Based on the homoclinic breather wave solution, rational homoclinic breather wave solution is generated by
homoclinic breather limit method, rogue wave in the form of the rational homoclinic solution is derived when the period
of homoclinic breather wave goes to infinite. This is a new way for generating rogue wave which is different from direct
constructing method, Darboux dressing technique and ansätz with complexity of parameter. This result shows the homoclinic
rogue wave can be generated from homoclinic breather wave, and it is useful for explaining some related nonlinear phenomenon.
Share and Cite
ISRP Style
Longxing Li, Zhengde Dai, New homoclinic rogue wave solution for the coupled Schrodinger- Boussinesq equation, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2642--2648
AMA Style
Li Longxing, Dai Zhengde, New homoclinic rogue wave solution for the coupled Schrodinger- Boussinesq equation. J. Nonlinear Sci. Appl. (2017); 10(5):2642--2648
Chicago/Turabian Style
Li, Longxing, Dai, Zhengde. "New homoclinic rogue wave solution for the coupled Schrodinger- Boussinesq equation." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2642--2648
Keywords
- Schrödinger -Boussinesq equation
- Hirota bilinear form
- homoclinic breather limit method
- rogue wave.
MSC
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