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Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

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  • Akinyemi, Lanre
  • Şenol, Mehmet
  • Iyiola, Olaniyi S.

Abstract

In this paper, our focus is on the multidimensional mathematical physics models. We employ the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear time-fractional differential equations of conformable type. The models considered are generalized Benjamin equation, modified generalized multidimensional Kadomtsev–Petviashvili (KP) equations, modified generalized multidimensional KP–BBM equation and the variant Boussinesq system of equations. We also introduced a new modified generalized multidimensional KP type equation and its exact solutions. As the order of fractional derivative tends to one, the obtain exact solutions by the proposed method reduce to classical solutions. We successfully established varieties of soliton type solutions. The results obtained affirm that sub-equation method is an efficient and powerful technique for analytic solutions of nonlinear fractional partial differential equations.

Suggested Citation

  • Akinyemi, Lanre & Şenol, Mehmet & Iyiola, Olaniyi S., 2021. "Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 211-233.
    • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:211-233
    DOI: 10.1016/j.matcom.2020.10.017
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    References listed on IDEAS

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    Cited by:

    1. Silambarasan, Rathinavel & Kılıçman, Adem, 2023. "Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 699-720.
    2. Noha M. Rasheed & Mohammed O. Al-Amr & Emad A. Az-Zo’bi & Mohammad A. Tashtoush & Lanre Akinyemi, 2021. "Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method," Mathematics, MDPI, vol. 9(16), pages 1-12, August.

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