The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by Direct algebraic method and Sine-Gordon expansion method

Safoura Rezaei Aderyani; Reza Saadati; Javad Vahidi; Nabil Mlaiki; Thabet Abdeljawad; Safoura Rezaei Aderyani; Reza Saadati; Javad Vahidi; Nabil Mlaiki; Thabet Abdeljawad

doi:10.3934/math.2022604

AIMS Mathematics

2022, Volume 7, Issue 6: 10807-10827. doi: 10.3934/math.2022604

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The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by Direct algebraic method and Sine-Gordon expansion method

1.
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
2.
Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia
3.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 14 December 2021 Revised: 01 March 2022 Accepted: 07 March 2022 Published: 31 March 2022
MSC : 35C07, 35C08, 35G50, 35Q60, 35R11, 65H10

In this article, we used direct algebraic method (DAM) and sine-Gordon expansion method (SGEM), to find the analytical solutions of conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE) and finally, we present numerical results in tables and charts.
Citation: Safoura Rezaei Aderyani, Reza Saadati, Javad Vahidi, Nabil Mlaiki, Thabet Abdeljawad. The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by Direct algebraic method and Sine-Gordon expansion method[J]. AIMS Mathematics, 2022, 7(6): 10807-10827. doi: 10.3934/math.2022604

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Abstract

In this article, we used direct algebraic method (DAM) and sine-Gordon expansion method (SGEM), to find the analytical solutions of conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE) and finally, we present numerical results in tables and charts.

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