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Extended \(({\frac{G^{\prime }}{G}})\)-Expansion Method for Konopelchenko–Dubrovsky (KD) Equation of Fractional Order

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Abstract

In this paper, we explore new applications of the extended \(({\frac{G^{\prime }}{G}})\)-expansion method. We apply this method to the nonlinear Konopelchenko–Dubrovsky equation of fractional order. As results, some new exact traveling wave solutions are obtained which include solitary wave solutions. The travelling wave solutions are expressed by hyperbolicand trigonometric functions.

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Acknowledgements

The authors are highly grateful to the unknown referees for their valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, HITEC University, Taxila Cantt, Pakistan

    Syed Tauseef Mohyud-Din & Fitnat Saba

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  1. Syed Tauseef Mohyud-Din
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  2. Fitnat Saba
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Correspondence to Syed Tauseef Mohyud-Din.

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Mohyud-Din, S.T., Saba, F. Extended \(({\frac{G^{\prime }}{G}})\)-Expansion Method for Konopelchenko–Dubrovsky (KD) Equation of Fractional Order. Int. J. Appl. Comput. Math 3 (Suppl 1), 161–172 (2017). https://doi.org/10.1007/s40819-017-0347-z

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  • DOI: https://doi.org/10.1007/s40819-017-0347-z

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