CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System  

作　　者：陈春丽 楼森岳 

机构地区：[1]Department of Mathematics, Shanghai Jiao Tong University [2]Department of Physics, Ningbo University

出　　处：《Communications in Theoretical Physics》2014年第5期545-550,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundations of China under Grant Nos.11175092,11275123,11205092,and 10905038;Talent Fund;K.C.Wong Magna Fund in Ningbo University

摘　　要：A consistent tanh expansion （CTE） method is developed for the dispersion water wave （DWW） system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent while the auxiliary branch is not consistent. From the consistent branch, we can obtain infinitely many exact significant solutions including the soliton-resonant solutions and soliton-periodic wave interactions. From the inconsistent branch, only one special solution can be found. The CTE related nonlocal symmetries are also proposed. The nonlocai symmetries can be localized to find finite Backlund transformations by prolonging the model to an enlarged one.

关 键 词：consistent tanh expansion dispersion water wave （DWW） system nonlocal symmetries the con-sistent Riccati expansion 

分 类 号：O175[理学—数学]