Approximate symmetry and exact solutions of the singularly perturbed Boussinesq equation

被引：1

作者：

Rahimian, Mohammad ^{[1
]}

Toomanian, Megerdich ^{[1
]}

Nadjafikhah, Mehdi ^{[2
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

[2] Iran Univ Sci & Technol, Sch Math, Dept Pure Math, Tehran 1684613114, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 53卷

关键词：

Singularly perturbed Boussinesq equation; Analytical solutions; Approximate symmetry; Approximate invariant solutions; TRAVELING-WAVE SOLUTIONS; WATER-WAVES;

D O I：

10.1016/j.cnsns.2017.04.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the singularly perturbed Boussinesq equation. The tanh-function method, is employed to solve some of the obtained reduced ordinary differential equations.We construct new analytical solutions with small parameter which is effectively obtained by the proposed method. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1 / 9

页数：9

共 18 条

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