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New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method

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Abstract.

In this paper, the Jacobi elliptic function expansion method is proposed for the first time to construct the exact solutions of the time conformable fractional two-dimensional Boussinesq equation and the combined KdV-mKdV equation. New exact solutions are found. This method is based on Jacobi elliptic functions. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.

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Authors and Affiliations

  1. Department of Mathematics, Mustafa Kemal University, Hatay, Turkey

    Orkun Tasbozan & Ali Kurt

  2. Department of Mathematics, Selçuk University, Konya, Turkey

    Yücel Çenesiz

Authors
  1. Orkun Tasbozan
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  2. Yücel Çenesiz
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  3. Ali Kurt
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Correspondence to Orkun Tasbozan.

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Tasbozan, O., Çenesiz, Y. & Kurt, A. New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method. Eur. Phys. J. Plus 131, 244 (2016). https://doi.org/10.1140/epjp/i2016-16244-x

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  • DOI: https://doi.org/10.1140/epjp/i2016-16244-x

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