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A modified form of \({\left(\frac{G^\prime}{G}\right)}\) -expansion method and its application to Potential Kadomtsev–Petviashvili (PKP) equation

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Abstract

In this paper, we present a modified form of the \({(\frac{G^\prime}{G})}\) -expansion method and as a application proposed to construct exact solutions of (2 + 1)-dimensional Potential Kadomtsev–Petviashvili equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational solutions contains an explicit linear function of the variables in the considered equation. It is shown that the proposed method with the help of symbolic computation provides a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

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Authors and Affiliations

  1. Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    Reza Abazari

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  1. Reza Abazari
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Abazari, R. A modified form of \({\left(\frac{G^\prime}{G}\right)}\) -expansion method and its application to Potential Kadomtsev–Petviashvili (PKP) equation. Japan J. Indust. Appl. Math. 31, 125–136 (2014). https://doi.org/10.1007/s13160-013-0110-8

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  • DOI: https://doi.org/10.1007/s13160-013-0110-8

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