ScholarLens Back to search
2013•Unpublished venueRequires access

EXACT TRAVELING WAVE SOLUTIONS OF NONLINEAR VARIABLE-COEFFICIENTS EVOLUTION EQUATIONS WITH FORCED TERMS USING THE GENERALIZED '

E. M. E. Zayed, Mahmoud A. M. Abdelaziz

Open publisher page 1 citations

Abstract

The exact traveling wave solutions of the nonlinear variable-coefficients Burgers–Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ′ GG () -expansion method. As a result, hyperbolic, trigonometric, and rational function solutions with parameters are obtained. When these parameters take special values, the solitary wave solutions are derived from the hyperbolic function solution. It is shown that the proposed method is direct, effective and can be applied to many other nonlinear evolution equations in mathematical physics.

About this research paper

What this paper is about

The exact traveling wave solutions of the nonlinear variable-coefficients Burgers–Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ′ GG () -expansion method. As a result, hyperbolic, trigonometric, and rational function solutions with parameters are obtained. When these parameters take special values, the solitary wave solutions are derived from the hyperbolic function solution. It is shown that the proposed method is direct, effective and can be applied to many other nonlinear evolution equations in mathematical physics.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The exact traveling wave solutions of the nonlinear variable-coefficients Burgers–Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ′ GG () -expansion method. As a result, hyperbolic, trigonometric, and rational function solutions with parameters are obtained. When these parameters take special values, the solitary wave solutions are derived from the hyperbolic function solution. It is shown that the proposed method is direct, effective and can be applied to many other nonlinear evolution equations in mathematical physics.

Key concepts: Mathematics, Hyperbolic function, Trigonometric functions, Mathematical analysis, Nonlinear system, Variable (mathematics), Traveling wave, Burgers' equation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
EXACT TRAVELING WAVE SOLUTIONS OF NONLINEAR VARIABLE-COEFFICIENTS EVOLUTION EQUATIONS WITH FORCED TERMS USING THE GENERALIZED ' — Research Paper | ScholarLens