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Novel Analytical Approach for the Space-Time Fractional (2+1)-Dimensional Breaking Soliton Equation via Mathematical Methods

Author

Listed:
  • Abdulmohsen D. Alruwaili

    (Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia)

  • Aly R. Seadawy

    (Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi Arabia)

  • Asghar Ali

    (Department of Mathematics, Multan Campus, University of Education, Lahore 0606, Pakistan)

  • Sid Ahmed O. Beinane

    (Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia)

Abstract

The aim of this work is to build novel analytical wave solutions of the nonlinear space-time fractional (2+1)-dimensional breaking soliton equations, with regards to the modified Riemann–Liouville derivative, by employing mathematical schemes, namely, the improved simple equation and modified F-expansion methods. We used the fractional complex transformation of the concern fractional differential equation to convert it for the solvable integer order differential equation. After the successful implementation of the presented methods, a comprehensive class of novel and broad-ranging exact and solitary travelling wave solutions were discovered, in terms of trigonometric, rational and hyperbolic functions. Hence, the present methods are reliable and efficient for solving nonlinear fractional problems in mathematics physics.

Suggested Citation

  • Abdulmohsen D. Alruwaili & Aly R. Seadawy & Asghar Ali & Sid Ahmed O. Beinane, 2021. "Novel Analytical Approach for the Space-Time Fractional (2+1)-Dimensional Breaking Soliton Equation via Mathematical Methods," Mathematics, MDPI, vol. 9(24), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3253-:d:704071
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    References listed on IDEAS

    as
    1. Fanwei Meng & Qinghua Feng, 2018. "Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-8, August.
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