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

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【作者】 夏亚荣； 辛祥鹏； 张顺利；

【Author】 Ya-Rong Xia;Xiang-Peng Xin;Shun-Li Zhang;Center for Nonlinear Studies,School of Mathematics,Northwest University;School of Information Engineering,Xi’an University;School of Mathematical Sciences,Liaocheng University;

【机构】 Center for Nonlinear Studies,School of Mathematics,Northwest University； School of Information Engineering,Xi’an University； School of Mathematical Sciences,Liaocheng University；

【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.

【Abstract】 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；
【Key words】 MDWW system； nonlinear self-adjointness； conservation laws； truncated Painlev′e analysis； CTE method； interaction solutions；
【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
  • 【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2017年01期
  • 【分类号】O175.2
  • 【被引频次】7
  • 【下载频次】52
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