International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2568

Full Length Research Paper

Solitary wave solutions of fifth-order (1+1)-dimensional Caudrey-Dodd-Gibbon equation

M. Ali Akbar1,2, Norhashidah Hj. Mohd. Ali1, M. Usman3, M. Shakeel3, Yang Xiao-Jun4 and Syed Tauseef Mohyud-Din3*
1School of Mathematical Sciences, University Sains Malaysia, Malaysia. 2Department of Applied Mathematics, University of Rajshahi, Bangladesh. 3Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan. 4College of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China.
Email: [email protected]

  •  Accepted: 26 September 2013
  •  Published: 09 October 2013

Abstract

The manuscript deals with the abundant travelling wave solutions of the Caudrey-Dodd-Gibbon (CDG) equation which have been obtained in a uniform way by using alternative (G`/G)–expansion method wherein the generalized Riccati equation is used. Moreover, a relatively new technique which is called (U`/U)-expansion is also used to find solitary wave solutions of CDG equation. The solutions obtained in this article may be imperative and significant for the explanation of some practical physical phenomena. Numerical results coupled with the graphical representation explicitly reveal the complete reliability and high efficiency of the proposed algorithms.

Key words: (G`/G)-expansion method, travelling wave solutions, (U`/U)-expansion method, Caudrey-Dodd-Gibbon (CDG) equation, nonlinear evolution equations.

Abbreviation

Mathematical Subject Classification: 35K99, 35P05, 35P99.

Copyright © 2024 Author(s) retain the copyright of this article.

This article is published under the terms of the Creative Commons Attribution License 4.0

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