Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation

被引：4
|
作者：
Wang, Yun-Hu [1 ,2 ]
Wang, Hui [1 ]
Zhang, Hong-Sheng [3 ]
Temuer, Chaolu [1 ]
机构：
[1] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 201306, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] Shanghai Maritime Univ, Coll Ocean Sci & Engn, Shanghai 201306, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 68卷 / 02期
基金：
中国国家自然科学基金;
关键词：
soliton-cnoidal wave solutions; consistent Riccati expansion; nonlocal symmetry; BREAKING SOLITON EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; INVERSE SPECTRAL TRANSFORM; PAINLEVE PROPERTY; SYSTEM;
D O I：
10.1088/0253-6102/68/2/165
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Applying the consistent Riccati expansion method, the extended (2+1)-dimensional shallow water wave equation is proved consistent Riccati solvable and the exact interaction solutions including soliton-cnoidal wave solutions, solitoff-typed solutions are obtained. With the help of the truncated Painleve expansion, the corresponding nonlocal symmetry is also given, and furthermore, the nonlocal symmetry is localized by prolonging the related enlarged system.
引用
收藏
页码：165 / 169
页数：5
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