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Fundamental Solutions for the Generalised Third-Order Nonlinear Schrödinger Equation

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Abstract

In this article, we establish exact solutions for the generalised third-order nonlinear Schrödinger equation. The elliptic function expansion and He’s semi-inverse techniques are employed to establish exact solutions for this equation. These solutions are so important and vital for mathematicians and physicists to prescribe some complex physical phenomena. Using Matlab 18, we plot 2D and 3D graphs of acquired solutions for certain values of the parameters. The proposed techniques are direct, sturdy and efficient tools to solve different types of nonlinear partial differential equations arising in engineering and physics.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Mahmoud A. E. Abdelrahman, Abdulghani Alharbi & M. B. Almatrafi

  2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    Mahmoud A. E. Abdelrahman

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  1. Mahmoud A. E. Abdelrahman
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  2. Abdulghani Alharbi
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  3. M. B. Almatrafi
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Correspondence to Mahmoud A. E. Abdelrahman.

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Abdelrahman, M.A.E., Alharbi, A. & Almatrafi, M.B. Fundamental Solutions for the Generalised Third-Order Nonlinear Schrödinger Equation. Int. J. Appl. Comput. Math 6, 160 (2020). https://doi.org/10.1007/s40819-020-00906-2

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