New homoclinic rogue wave solution for the coupled Schrodinger- Boussinesq equation


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.


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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


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