Interaction Behaviours Between Solitons and Cnoidal Periodic Waves for (2+1)-Dimensional Caudrey—Dodd—Gibbon—Kotera—Sawada Equation
Abstract
The consistent tanh expansion (CTE) method is employed to the (2+1)-dimensional Caudrey—Dodd—Gibbon-Kotera—Sawada (CDGKS) equation. The interaction solutions between solitons and the cnoidal periodic waves are explicitly obtained. Concretely, we discuss a special kind of interaction solution in the form of tanh functions and Jacobian elliptic functions in both analytical and graphical ways. The results show that the profiles of the soliton-cnoidal periodic wave interaction solutions can be designed by choosing different values of wave parameters.
Supported by the National Natural Science Foundation of China under Grant No. 11505154, the Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ16A010003, and the Scientific Research Foundation for Doctoral Program of Zhejiang Ocean University under Grant No. Q1511- Publication:
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Communications in Theoretical Physics
- Pub Date:
- August 2016
- DOI:
- 10.1088/0253-6102/66/2/163
- Bibcode:
- 2016CoTPh..66..163C