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Computing exact solutions for conformable time fractional generalized seventh-order KdV equation by using \({\left( {{\varvec{G}}}^{\prime }/{{\varvec{G}}}\right) }\)-expansion method

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Abstract

In this paper, the authors have established the \(\left( G^{\prime }/G\right)\)-expansion method to find exact solutions for conformable time fractional generalized seventh-order KdV equation (FGKdV7). This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations in mathematical physics. The effectiveness of this manageable method has been shown by applying it to several particular cases of the FGKdV7. The present approach has the potential to be applied to other nonlinear fractional differential equations. All of the numerical calculations in the present study have been performed on a PC applying some programs written in Mathematica.

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Authors and Affiliations

  1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    B. Agheli

  2. Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

    R. Darzi & A. Dabbaghian

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  1. B. Agheli
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  2. R. Darzi
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  3. A. Dabbaghian
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Correspondence to R. Darzi.

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Agheli, B., Darzi, R. & Dabbaghian, A. Computing exact solutions for conformable time fractional generalized seventh-order KdV equation by using \({\left( {{\varvec{G}}}^{\prime }/{{\varvec{G}}}\right) }\)-expansion method. Opt Quant Electron 49, 387 (2017). https://doi.org/10.1007/s11082-017-1223-0

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