Analytical Solutions to the Coupled Boussinesq-Burgers Equations via Sine-Gordon Expansion Method

被引：27

作者：

Ali, Karmina K. ^{[1
,2
]}

Yilmazer, Resat ^{[2
]}

Bulut, Hasan ^{[2
]}

机构：

[1] Univ Zakho, Fac Scicences, Dept Math, Zakho, Iraq

[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey

来源：

4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019) | 2020年 / 1111卷

关键词：

Analytical solutions; Coupled Boussinesq-Burgers equations; Sine-Gordon expansion method; MULTISOLITON SOLUTIONS; SOLITON-SOLUTIONS; WAVE SOLUTIONS; TRANSFORMATION;

D O I：

10.1007/978-3-030-39112-6_17

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the current study, we investigate the coupled Boussinesq-Burgers equations through sine-Gordon expansion method. BBEs arises in the research of fluid flow and describes the spreading of shallow water waves. A traveling wave transformation has been applied to turn the governing equation into a nonlinear ordinary differential equation. As a result, we produce some novel analytical solutions, such as topological, non-topological, and kink-type soliton solutions. Furthermore, 2D, 3D and contour surfaces are also plotted for all obtaining solutions.

引用

页码：233 / 240

页数：8

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