Residual symmetry, interaction solutions, and conservation laws of the(2+1)-dimensional dispersive long-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 and Engineering, Xi'an University [3]School of Mathematical Sciences, Liaocheng University

出　　处：《Chinese Physics B》2017年第3期207-214,共8页中国物理B（英文版）

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

摘　　要：We explore the （2＋l）-dimensional dispersive long-wave （DLW） system. From the standard truncated Painleve expansion, the Baicklund transformation （BT） and residual symmetries of this system are derived. The introduction to an appropriate auxiliary dependent variable successfully localizes the residual symmetries to Lie point symmetries. In particular, it is verified that the （2＋l）-dimensional DLW system is consistent Riccati expansion （CRE） solvable. If the special form of （CRE）-consistent tanh-function expansion （CTE） is taken, the soliton-cnoidal wave solutions and corresponding images can be explicitly given. Furthermore, the conservation laws of the DLW system are investigated with symmetries and Ibragimov theorem.We explore the （2＋l）-dimensional dispersive long-wave （DLW） system. From the standard truncated Painleve expansion, the Baicklund transformation （BT） and residual symmetries of this system are derived. The introduction to an appropriate auxiliary dependent variable successfully localizes the residual symmetries to Lie point symmetries. In particular, it is verified that the （2＋l）-dimensional DLW system is consistent Riccati expansion （CRE） solvable. If the special form of （CRE）-consistent tanh-function expansion （CTE） is taken, the soliton-cnoidal wave solutions and corresponding images can be explicitly given. Furthermore, the conservation laws of the DLW system are investigated with symmetries and Ibragimov theorem.

关 键 词：residual symmetry truncated Painleve expansion interaction solutions conservation law 

分 类 号：O175.29[理学—数学]