Interaction Behaviours Between Solitons and Cnoidal Periodic Waves for (2＋1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation  

作　　者：程雪苹 王建勇 任博 杨云青 程雪苹;王建勇;任博;杨云青(Department of Physics, Zhejiang Ocean University, Zhoushan 316022, China;Key Laboratory of Oceanographic Big Data Mining & Application of Zhejiang Province, Zhoushan 316022, China;Department of Mathematics and Physics, Quzhou University, Quzhou 324000, China;Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;Department of Mathematics, Zhejiang Ocean University, Zhoushan 316022, China)

机构地区：[1]Department of Physics, Zhejiang Ocean University, Zhoushan 316022, China [2]Key Laboratory of Oceanographic Big Data Mining & Application of Zhejiang Province, Zhoushan 316022, China [3]Department of Mathematics and Physics, Quzhou University, Quzhou 324000, China [4]Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China [5]Department of Mathematics, Zhejiang Ocean University, Zhoushan 316022, China

出　　处：《Communications in Theoretical Physics》2016年第8期163-170,共8页理论物理通讯（英文版）

基　　金：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;the Scientific Research Foundation for Doctoral Program of Zhejiang Ocean University under Grant No.Q1511

摘　　要：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.

关 键 词：soliton-cnoidal periodic wave interaction solution consistent tanh expansion method （2＋1）-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation 

分 类 号：O175.29[理学—数学]