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Solitons in conformable time-fractional Wu–Zhang system arising in coastal design

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Abstract

The modified exp\(\left( {-\Omega \left( \zeta \right) } \right) \)-expansion function method is applied to the Wu–Zhang system with conformable time-fractional derivative to construct new analytical solutions. We have obtained some soliton-type solutions such as dark, singular and combined soliton solutions. We have seen that all solutions have provided the mentioned equation system. For the suitable value of the solutions, the 2D–3D and contour surfaces have been plotted.

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Authors and Affiliations

  1. Faculty of Educational Sciences, Final International University, Kyrenia Mersin 10, Turkey

    Gulnur Yel

  2. Faculty of Education, Harran University, Şanlıurfa, Turkey

    Haci Mehmet Baskonus

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  1. Gulnur Yel
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  2. Haci Mehmet Baskonus
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Correspondence to Gulnur Yel.

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Yel, G., Baskonus, H.M. Solitons in conformable time-fractional Wu–Zhang system arising in coastal design. Pramana - J Phys 93, 57 (2019). https://doi.org/10.1007/s12043-019-1818-z

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  • DOI: https://doi.org/10.1007/s12043-019-1818-z

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