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

M. Ali Akbar (), Md. Nur Alam and Md. Golam Hafez
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M. Ali Akbar: University of Rajshahi
Md. Nur Alam: Pabna University of Science & Technology
Md. Golam Hafez: Chittagong University of Engineering & Technology

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 1, 85-96

Abstract: 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.

Keywords: Novel (G′/G)-expansion method; positive Gardner-KP equation; nonlinear evolution equation; traveling wave solutions; solitary wave solutions (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0171-x

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