CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation

被引:12
作者
Cheng, Wenguang [1 ]
Li, Biao [2 ]
机构
[1] Yuxi Normal Univ, Dept Math, Yuxi 653100, Peoples R China
[2] Ningbo Univ, Ningbo Collaborat Innovat Ctr Nonlinear Hazard Sy, Ningbo 315211, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
PAINLEVE PROPERTY; SYSTEMS;
D O I
10.1155/2016/4874392
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is proved that the modified Boussinesq equation is consistent Riccati expansion (CRE) solvable; two types of special solitoncnoidal wave interaction solution of the equation are explicitly given, which is difficult to be found by other traditional methods. Moreover, the nonlocal symmetry related to the consistent tanh expansion (CTE) and the residual symmetry from the truncated Painleve expansion, as well as the relationship between them, are obtained. The residual symmetry is localized after embedding the original system in an enlarged one. The symmetry group transformation of the enlarged system is derived by applying the Lie point symmetry approach.
引用
收藏
页数:7
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