Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Auxiliary Equation Method

被引：28

作者：

Kaplan, Melike ^{[1
]}

Akbulut, Arzu ^{[1
]}

Bekir, Ahmet ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Dept Math Comp, Art Sci Fac, Eskisehir, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2015年 / 70卷 / 11期

关键词：

Coupled Higgs Equation; Equal Width Wave (EW) Equation; Exact Solutions; Symbolic Computation; Zoomeron Equation;

D O I：

10.1515/zna-2015-0122

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The auxiliary equation method presents wide applicability to handling nonlinear wave equations. In this article, we establish new exact travelling wave solutions of the nonlinear Zoomeron equation, coupled Higgs equation, and equal width wave equation. The travelling wave solutions are expressed by the hyperbolic functions, trigonometric functions, and rational functions. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering. Throughout the article, all calculations are made with the aid of the Maple packet program.

引用

页码：969 / 974

页数：6

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