The Improved (<i>G</i>’/G) -Expansion Method to the Generalized Burgers-Fisher Equation

Rida Tassew Redi; Yesuf Obsie; Alemayehu Shiferaw

doi:doi:10.11648/j.mma.20180301.13

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The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation

Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw

Published in Mathematical Modelling and Applications (Volume 3, Issue 1)

Received: 25 October 2017 Accepted: 22 November 2017 Published: 25 January 2018

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Abstract

In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.

Published in	Mathematical Modelling and Applications (Volume 3, Issue 1)
DOI	10.11648/j.mma.20180301.13
Page(s)	16-30
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

The Improved (G’/G)-Expansion Method, The Generalized Burger's-Fisher Equation, Traveling Wave Solutions, Nonlinear Evolution Equations

References

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APA Style

Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw. (2018). The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Mathematical Modelling and Applications, 3(1), 16-30. https://doi.org/10.11648/j.mma.20180301.13

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ACS Style

Rida Tassew Redi; Yesuf Obsie; Alemayehu Shiferaw. The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Math. Model. Appl. 2018, 3(1), 16-30. doi: 10.11648/j.mma.20180301.13

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AMA Style

Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw. The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Math Model Appl. 2018;3(1):16-30. doi: 10.11648/j.mma.20180301.13

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@article{10.11648/j.mma.20180301.13,
  author = {Rida Tassew Redi and Yesuf Obsie and Alemayehu Shiferaw},
  title = {The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation},
  journal = {Mathematical Modelling and Applications},
  volume = {3},
  number = {1},
  pages = {16-30},
  doi = {10.11648/j.mma.20180301.13},
  url = {https://doi.org/10.11648/j.mma.20180301.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20180301.13},
  abstract = {In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.},
 year = {2018}
}

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TY  - JOUR
T1  - The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
AU  - Rida Tassew Redi
AU  - Yesuf Obsie
AU  - Alemayehu Shiferaw
Y1  - 2018/01/25
PY  - 2018
N1  - https://doi.org/10.11648/j.mma.20180301.13
DO  - 10.11648/j.mma.20180301.13
T2  - Mathematical Modelling and Applications
JF  - Mathematical Modelling and Applications
JO  - Mathematical Modelling and Applications
SP  - 16
EP  - 30
PB  - Science Publishing Group
SN  - 2575-1794
UR  - https://doi.org/10.11648/j.mma.20180301.13
AB  - In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.
VL  - 3
IS  - 1
ER  -

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Author Information

Rida Tassew Redi

Department of Mathematics, Institute of Technology, Dire Dawa University, Dire Dawa, Ethiopia
Yesuf Obsie

Department of Mathematics, Jimma University, Jimma, Ethiopia
Alemayehu Shiferaw

Department of Mathematics, Jimma University, Jimma, Ethiopia

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APA Style

Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw. (2018). The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Mathematical Modelling and Applications, 3(1), 16-30. https://doi.org/10.11648/j.mma.20180301.13

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ACS Style

Rida Tassew Redi; Yesuf Obsie; Alemayehu Shiferaw. The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Math. Model. Appl. 2018, 3(1), 16-30. doi: 10.11648/j.mma.20180301.13

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AMA Style

Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw. The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation. Math Model Appl. 2018;3(1):16-30. doi: 10.11648/j.mma.20180301.13

Copy | Download

@article{10.11648/j.mma.20180301.13,
  author = {Rida Tassew Redi and Yesuf Obsie and Alemayehu Shiferaw},
  title = {The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation},
  journal = {Mathematical Modelling and Applications},
  volume = {3},
  number = {1},
  pages = {16-30},
  doi = {10.11648/j.mma.20180301.13},
  url = {https://doi.org/10.11648/j.mma.20180301.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20180301.13},
  abstract = {In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
AU  - Rida Tassew Redi
AU  - Yesuf Obsie
AU  - Alemayehu Shiferaw
Y1  - 2018/01/25
PY  - 2018
N1  - https://doi.org/10.11648/j.mma.20180301.13
DO  - 10.11648/j.mma.20180301.13
T2  - Mathematical Modelling and Applications
JF  - Mathematical Modelling and Applications
JO  - Mathematical Modelling and Applications
SP  - 16
EP  - 30
PB  - Science Publishing Group
SN  - 2575-1794
UR  - https://doi.org/10.11648/j.mma.20180301.13
AB  - In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.
VL  - 3
IS  - 1
ER  -

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