Nonlinear Self-Adjointness, Conservation Laws and Soliton-Cnoidal Wave Interaction Solutions of(2+1)-Dimensional Modified Dispersive Water-Wave System  

作　　者：夏亚荣 辛祥鹏 张顺利 

机构地区：[1]Center for Nonlinear Studies,School of Mathematics,Northwest University [2]School of Information Engineering,Xi'an University [3]School of Mathematical Sciences,Liaocheng University

出　　处：《Communications in Theoretical Physics》2017年第1期15-21,共7页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos.11371293,11505090;the Natural Science Foundation of Shaanxi Province under Grant No.2014JM2-1009;Research Award Foundation for Outstanding Young Scientists of Shandong Province under Grant No.BS2015SF009;the Science and Technology Innovation Foundation of Xi’an under Grant No.CYX1531WL41

摘　　要：This paper mainly discusses the(2+1)-dimensional modified dispersive water-wave(MDWW) system which will be proved nonlinear self-adjointness. This property is applied to construct conservation laws corresponding to the symmetries of the system. Moreover, via the truncated Painlev′e analysis and consistent tanh-function expansion(CTE)method, the soliton-cnoidal periodic wave interaction solutions and corresponding images will be eventually achieved.This paper mainly discusses the（2＋1）-dimensional modified dispersive water-wave（MDWW） system which will be proved nonlinear self-adjointness. This property is applied to construct conservation laws corresponding to the symmetries of the system. Moreover, via the truncated Painlev′e analysis and consistent tanh-function expansion（CTE）method, the soliton-cnoidal periodic wave interaction solutions and corresponding images will be eventually achieved.

关 键 词：MDWW system nonlinear self-adjointness conservation laws truncated Painlev′e analysis CTE method interaction solutions 

分 类 号：O175.2[理学—数学]