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Solutions for Space–Time Fractional (2 + 1)-Dimensional Dispersive Long Wave Equations

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Abstract

This paper aims to apply conformable fractional derivative for converting space–time fractional (2 + 1)-dimensional dispersive long wave equations into ordinary differential equations that can be solved to obtain the solitary wave solutions by the \((G^{\prime}/G)\)-expansion method. A parametric study of some physical parameters involved in such problems is performed to illustrate the influence of these parameters on the velocity profiles.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslami

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  1. Mostafa Eslami
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Correspondence to Mostafa Eslami.

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Eslami, M. Solutions for Space–Time Fractional (2 + 1)-Dimensional Dispersive Long Wave Equations. Iran J Sci Technol Trans Sci 41, 1027–1032 (2017). https://doi.org/10.1007/s40995-017-0320-z

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  • DOI: https://doi.org/10.1007/s40995-017-0320-z

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