Study of power law non-linearity in solitonic solutions using extended hyperbolic function method

Muhammad Imran Asjad; Naeem Ullah; Asma Taskeen; Fahd Jarad; Muhammad Imran Asjad; Naeem Ullah; Asma Taskeen; Fahd Jarad

doi:10.3934/math.20221023

AIMS Mathematics

2022, Volume 7, Issue 10: 18603-18615. doi: 10.3934/math.20221023

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Research article

Study of power law non-linearity in solitonic solutions using extended hyperbolic function method

1.
Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
2.
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
3.
Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey
4.
Department of Mathematics, King Abdulaziz University, Saudi Arabia
5.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 18 March 2022 Revised: 05 July 2022 Accepted: 18 July 2022 Published: 19 August 2022
MSC : 35Q51, 35Q53

This paper retrieves the optical solitons to the Biswas-Arshed equation (BAE), which is examined with the lack of self-phase modulation by applying the extended hyperbolic function (EHF) method. Novel constructed solutions have the shape of bright, singular, periodic singular, and dark solitons. The achieved solutions have key applications in engineering and physics. These solutions define the wave performance of the governing models. The outcomes show that our scheme is very active and reliable. The acquired results are illustrated by 3-D and 2-D graphs to understand the real phenomena for such sort of non-linear models.
- EHF method,
- power law non-linearity,
- optical solitons
Citation: Muhammad Imran Asjad, Naeem Ullah, Asma Taskeen, Fahd Jarad. Study of power law non-linearity in solitonic solutions using extended hyperbolic function method[J]. AIMS Mathematics, 2022, 7(10): 18603-18615. doi: 10.3934/math.20221023

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Abstract

This paper retrieves the optical solitons to the Biswas-Arshed equation (BAE), which is examined with the lack of self-phase modulation by applying the extended hyperbolic function (EHF) method. Novel constructed solutions have the shape of bright, singular, periodic singular, and dark solitons. The achieved solutions have key applications in engineering and physics. These solutions define the wave performance of the governing models. The outcomes show that our scheme is very active and reliable. The acquired results are illustrated by 3-D and 2-D graphs to understand the real phenomena for such sort of non-linear models.

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