Analysis of optical solitons solutions of two nonlinear models using analytical technique

Naeem Ullah; Muhammad Imran Asjad; Azhar Iqbal; Hamood Ur Rehman; Ahmad Hassan; Tuan Nguyen Gia; Naeem Ullah; Muhammad Imran Asjad; Azhar Iqbal; Hamood Ur Rehman; Ahmad Hassan; Tuan Nguyen Gia

doi:10.3934/math.2021767

AIMS Mathematics

2021, Volume 6, Issue 12: 13258-13271. doi: 10.3934/math.2021767

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Research article

Analysis of optical solitons solutions of two nonlinear models using analytical technique

1.
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
2.
Department of Mathematics, Dawood University of Engineering and Technology, Karachi-74800, Pakistan
3.
Department of Mathematics, University of Okara, Okara, Pakistan
4.
Department of Computing, University of Turku, Turku, Finland

Received: 11 May 2021 Accepted: 23 August 2021 Published: 15 September 2021
MSC : 35Q51, 35Q53

Looking for the exact solutions in the form of optical solitons of nonlinear partial differential equations has become very famous to analyze the core structures of physical phenomena. In this paper, we have constructed some various type of optical solitons solutions for the Kaup-Newell equation (KNE) and Biswas-Arshad equation (BAE) via the generalized Kudryashov method (GKM). The conquered solutions help to understand the dynamic behavior of different physical phenomena. These solutions are specific, novel, correct and may be beneficial for edifying precise nonlinear physical phenomena in nonlinear dynamical schemes. Graphical recreations for some of the acquired solutions are offered.
- Kaup-Newell equation,
- Biswas-Arshed equation,
- the generalized Kudryashov method
Citation: Naeem Ullah, Muhammad Imran Asjad, Azhar Iqbal, Hamood Ur Rehman, Ahmad Hassan, Tuan Nguyen Gia. Analysis of optical solitons solutions of two nonlinear models using analytical technique[J]. AIMS Mathematics, 2021, 6(12): 13258-13271. doi: 10.3934/math.2021767

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Abstract

Looking for the exact solutions in the form of optical solitons of nonlinear partial differential equations has become very famous to analyze the core structures of physical phenomena. In this paper, we have constructed some various type of optical solitons solutions for the Kaup-Newell equation (KNE) and Biswas-Arshad equation (BAE) via the generalized Kudryashov method (GKM). The conquered solutions help to understand the dynamic behavior of different physical phenomena. These solutions are specific, novel, correct and may be beneficial for edifying precise nonlinear physical phenomena in nonlinear dynamical schemes. Graphical recreations for some of the acquired solutions are offered.

References

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