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

被引：5

作者：

王云虎 ^{[1
,2
]}

王惠 ^{[1
]}

张洪生 ^{[3
]}

特木尔朝鲁 ^{[1
]}

机构：

[1] College of Art and Sciences, Shanghai Maritime University

[2] Department of Mathematics, Shanghai University

[3] College of Ocean Science and Engineering, Shanghai Maritime University

来源：

CommunicationsinTheoreticalPhysics | 2017年 / 68卷 / 08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;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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 Painlev′e expansion, the corresponding nonlocal symmetry is also given, and furthermore, the nonlocal symmetry is localized by prolonging the related enlarged system.

引用

页码：165 / 169

页数：5

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