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Application of the novel (G′/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation

Author

Listed:
  • M. Ali Akbar

    (University of Rajshahi)

  • Md. Nur Alam

    (Pabna University of Science & Technology)

  • Md. Golam Hafez

    (Chittagong University of Engineering & Technology)

Abstract

The novel (G′/G)-expansion method is one of the powerful methods accredited at the present time for establishing exact traveling wave solutions to nonlinear evolution equations (NLEEs). In this article, the method has been implemented to find the traveling wave solutions to the positive Gardner-KP equation. The efficiency of this method for finding exact and traveling wave solutions has been demonstrated. The obtained solutions have been compared with the solution obtained by other methods. The solutions have also been demonstrated by figures. It has been shown that the method is straightforward and an effective tool for solving NLEES that occur in applied mathematics, mathematical physics, and engineering.

Suggested Citation

  • M. Ali Akbar & Md. Nur Alam & Md. Golam Hafez, 2016. "Application of the novel (G′/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 85-96, March.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:1:d:10.1007_s13226-016-0171-x
    DOI: 10.1007/s13226-016-0171-x
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    References listed on IDEAS

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