Application of the (G'/G)-expansion method for the generalized Fisher's equation and modified equal width equation

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5 Citations (Scopus)

Abstract

In this work, the exact traveling wave solutions of the generalized Fisher's equation and modified equal width equation are studied by using the G'/G-expansion method. As a result, many solitary wave solutions are derived from the solutions via hyperbolic functions, trigonometric functions and rational functions. When the parameters were taken at special values, the results obtained were compared with the solution via the tanh method established earlier. In fact, many general non-traveling wave solutions are obtained. The efficiency of the method is demonstrated by applying it for a variety of selected equations.

Original languageEnglish
Pages (from-to)82-89
Number of pages8
JournalJournal of the Association of Arab Universities for Basic and Applied Sciences
Volume15
Issue number1
DOIs
Publication statusPublished - 2014

Fingerprint

(G′/G)-expansion Method
Fisher Equation
Generalized Equation
The Tanh Method
Hyperbolic functions
Hyperbolic function
Rational functions
Circular function
Solitary Wave Solution
Traveling Wave Solutions
Solitons
Rational function
solitary wave
methodology
method

Keywords

  • Fisher's equation
  • G'/G-Expansion method
  • Modified equal width equation
  • Tanh method
  • Traveling wave solution

ASJC Scopus subject areas

  • General

Cite this

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abstract = "In this work, the exact traveling wave solutions of the generalized Fisher's equation and modified equal width equation are studied by using the G'/G-expansion method. As a result, many solitary wave solutions are derived from the solutions via hyperbolic functions, trigonometric functions and rational functions. When the parameters were taken at special values, the results obtained were compared with the solution via the tanh method established earlier. In fact, many general non-traveling wave solutions are obtained. The efficiency of the method is demonstrated by applying it for a variety of selected equations.",
keywords = "Fisher's equation, G'/G-Expansion method, Modified equal width equation, Tanh method, Traveling wave solution",
author = "Taha, {Wafaa M.} and {Md. Noorani}, {Mohd. Salmi}",
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T1 - Application of the (G'/G)-expansion method for the generalized Fisher's equation and modified equal width equation

AU - Taha, Wafaa M.

AU - Md. Noorani, Mohd. Salmi

PY - 2014

Y1 - 2014

N2 - In this work, the exact traveling wave solutions of the generalized Fisher's equation and modified equal width equation are studied by using the G'/G-expansion method. As a result, many solitary wave solutions are derived from the solutions via hyperbolic functions, trigonometric functions and rational functions. When the parameters were taken at special values, the results obtained were compared with the solution via the tanh method established earlier. In fact, many general non-traveling wave solutions are obtained. The efficiency of the method is demonstrated by applying it for a variety of selected equations.

AB - In this work, the exact traveling wave solutions of the generalized Fisher's equation and modified equal width equation are studied by using the G'/G-expansion method. As a result, many solitary wave solutions are derived from the solutions via hyperbolic functions, trigonometric functions and rational functions. When the parameters were taken at special values, the results obtained were compared with the solution via the tanh method established earlier. In fact, many general non-traveling wave solutions are obtained. The efficiency of the method is demonstrated by applying it for a variety of selected equations.

KW - Fisher's equation

KW - G'/G-Expansion method

KW - Modified equal width equation

KW - Tanh method

KW - Traveling wave solution

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