A Riccati Equation Approach and Travelling Wave Solutions for Nonlinear Evolution Equations

被引：1

作者：

Odibat Z. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, Al-Balqa’ Applied University, Salt

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 1期

关键词：

Riccati differential equation; Solitary wave solution; The KdV equation; The quasilinear Klein–Gordon equation; Travelling wave solution;

D O I：

10.1007/s40819-015-0085-z

中图分类号：

学科分类号：

摘要：

In this paper, a new method, called Riccati equation approach, is proposed to seek travelling wave solutions of nonlinear evolution equations. The quasilinear Klein–Gordon equation and the KdV equation are chosen to illustrate the effectiveness and convenience of the suggested method. The obtained solutions which include solitons, kinks and periodic solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The study highlights the power and the effectiveness of the proposed method which can be used in a direct way to handle many other nonlinear evolution equations. © 2015, Springer India Pvt. Ltd.

引用

页码：1 / 13

页数：12

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