The Two – Variable (G/ G ,) (1/ G) – Expansion Method for Solving Nonlinear Dynamics of Microtubles – A New Model

α
Mostafa M.A. Khater
Mostafa M.A. Khater Master of partial differential equations
α Mansoura University Mansoura University

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The Two – Variable (G/ G ,) (1/ G) – Expansion Method for Solving Nonlinear Dynamics of Microtubles – A New Model

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Abstract

In this paper, we employ the ( )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear dynamics of microtubulesa New Model . When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

References

24 Cites in Article
  1. W Maliet (1992). Solitary wave solutions of nonlinear wave equations.
  2. Willy Malfliet,Willy Hereman (1996). The tanh method: I. Exact solutions of nonlinear evolution and wave equations.
  3. A Wazwaz (2004). The tanh method for travelling wave solutions of nonlinear equations.
  4. S El-Wakil,M Abdou (2007). New exact travelling wave solutions using modified extended tanh-function method.
  5. E Fan (2000). Extended tanh-function method and its applications to nonlinear equations.
  6. A Mahmoud,Abdelrahman,H Emad,M Zahran Mostafa,Khater (2015). Exact Traveling Wave Solutions for Modi_ed Liouville Equation Arising in Mathematical Physics and Biology.
  7. A Wazwaz (2005). Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method.
  8. A-M Wazwaz (2004). A sine-cosine method for handlingnonlinear wave equations.
  9. Chuntao Yan (1996). A simple transformation for nonlinear waves.
  10. Engui Fan,Hongqing Zhang (1998). A note on the homogeneous balance method.
  11. M Wang (1996). Exct solutions for a compound KdV-Burgers equation.
  12. H Emad,Zahran,M Mostafa,Khater (2014). The modified simple equation method and its applications for solving some nonlinear evolutions equations in mathematical physics.
  13. Yu-Jie Ren,Hong-Qing Zhang (2006). A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation.
  14. Jin-Liang Zhang,Ming-Liang Wang,Yue-Ming Wang,Zong-De Fang (2006). The improved F-expansion method and its applications.
  15. Ji-Huan He,Xu-Hong Wu (2006). Exp-function method for nonlinear wave equations.
  16. Hossein Aminikhah,Hossein Moosaei,Mojtaba Hajipour (2009). Exact solutions for nonlinear partial differential equations via Exp‐function method.
  17. Z Zhang (2008). New exact traveling wave solutions for the nonlinear Klein-Gordon equation.
  18. M Wang,J Zhang,X Li (2008). The ( )expansion method and travelling wave solutions of nonlinear evolutions equations in mathematical physics.
  19. Sheng Zhang,Jing-Lin Tong,Wei Wang (2008). A generalized -expansion method for the mKdV equation with variable coefficients.
  20. E Zayed,K Gepreel (2009). The ( )expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics.
  21. E Zahran,M Khater (2014). Review for "Exact and Soliton Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Generalized (G′/ G)-Expansion Approach".
  22. Chaoqing Dai,Jiefang Zhang (2006). Jacobian elliptic function method for nonlinear differential-difference equations.
  23. Engui Fan,Jian Zhang (2002). Applications of the Jacobi elliptic function method to special-type nonlinear equations.
  24. Shikuo Liu,Zuntao Fu,Shida Liu,Qiang Zhao (2001). Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Mostafa M.A. Khater. 2015. \u201cThe Two – Variable (G/ G ,) (1/ G) – Expansion Method for Solving Nonlinear Dynamics of Microtubles – A New Model\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 15 (GJSFR Volume 15 Issue A2): .

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Issue Cover
GJSFR Volume 15 Issue A2
Pg. 91- 98
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-A Classification: FOR Code: 35A05, 35A20, 65K99, 65Z05, 76R50, 70K70
Version of record

v1.2

Issue date

May 6, 2015

Language
en
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In this paper, we employ the ( )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear dynamics of microtubulesa New Model . When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

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The Two – Variable (G/ G ,) (1/ G) – Expansion Method for Solving Nonlinear Dynamics of Microtubles – A New Model

Mostafa M.A. Khater
Mostafa M.A. Khater Mansoura University

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