文献类型：期刊文献

中文题名：CTE Solvability, Nonlocal Symmetry and Explicit Solutions of Modified Boussinesq System

英文题名：CTE Solvability, Nonlocal Symmetry and Explicit Solutions of Modified Boussinesq System

作者：Ren, Bo[1];Cheng, Xue-Ping[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Ocean Univ, Dept Phys, Zhoushan 316000, Peoples R China

年份：2016

卷号：65

期号：7

起止页码：84

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000384294600012)、CSTPCD、、CSCD2015_2016、Scopus、WOS、CSCD、PubMed

基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11305106 and 11505154

语种：英文

中文关键词：Boussinesq方程;非对称性;CTE;可解性;显式解;椭圆余弦波;局域对称性;初始值问题

外文关键词：modified Boussinesq equation; CTE method; nonlocal symmetry; symmetry reduction

中文摘要：A consistent tanh expansion(CTE) method is used to study the modified Boussinesq equation. It i proved that the modified Boussinesq equation is CTE solvable. The soliton-cnoidal periodic wave is explicitly given by a nonanto-BT theorem. Furthermore, the nonlocal symmetry for the modified Boussinesq equation is obtained by th Painlev′e analysis. The nonlocal symmetry is localized to the Lie point symmetry by introducing one auxiliary dependen variable. The finite symmetry transformation related with the nonlocal symemtry is obtained by solving the initia value problem of the prolonged systems. Thanks to the localization process, many interaction solutions among soliton and other complicated waves are computed through similarity reductions. Some special concrete soliton-cnoidal wav interaction behaviors are studied both in analytical and graphical ways.

外文摘要：A consistent tanh expansion (CTE) method is used to study the modified Boussinesq equation. It is proved that the modified Boussinesq equation is CTE solvable. The soliton-cnoidal periodic wave is explicitly given by a nonanto-BT theorem. Furthermore, the nonlocal symmetry for the modified Boussinesq equation is obtained by the Painleve analysis. The nonlocal symmetry is localized to the Lie point symmetry by introducing one auxiliary dependent variable. The finite symmetry transformation related with the nonlocal symemtry is obtained by solving the initial value problem of the prolonged systems. Thanks to the localization process, many interaction solutions among solitons and other complicated waves are computed through similarity reductions. Some special concrete soliton-cnoidal wave interaction behaviors are studied both in analytical and graphical ways.