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The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative

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Abstract

In this paper, we construct exact solutions for the space–time nonlinear conformable fractional Bogoyavlenskii equations by using the first integral method, and with the help of Maple. As a result, generalized hyperbolic function solutions, generalized trigonometric function solutions and rational function solutions with free and deformation parameters are obtained. The method is very suitable, easy and effective handling of the solution process of nonlinear conformable fractional equations.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their useful comments. This research work has been supported by a research grant from the University of Mazandaran.

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Authors and Affiliations

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

    Mostafa Eslami

  2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Farid Samsami Khodadad, Fakhroddin Nazari & Hadi Rezazadeh

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  1. Mostafa Eslami
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  2. Farid Samsami Khodadad
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  3. Fakhroddin Nazari
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  4. Hadi Rezazadeh
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Correspondence to Mostafa Eslami.

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Eslami, M., Khodadad, F.S., Nazari, F. et al. The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative. Opt Quant Electron 49, 391 (2017). https://doi.org/10.1007/s11082-017-1224-z

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