A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schrödinger equation

In this paper, we study precise and exact traveling wave solutions of the conformable differential nonlinear Schrödinger equation. Then, we transform the given equation into an integer order differential equation by utilizing the wave transformation and the characteristics of the conformable derivative. To extract optical soliton solutions, we divide the wave profile into amplitude and phase components. Further, we introduce a new extension of a modified Jacobi elliptic functions method to the conformable differential nonlinear Schrödinger equation with group velocity dispersion and coefficients of second-order spatiotemporal dispersion.

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Publication Details

Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Published
2024-12-30
DOI
https://doi.org/10.31489/2024m4/69-77
Citations
1
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.28
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A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schrödinger equation

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A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schrödinger equation

Mohammed Al‐Smadi, Shrideh Al‐Omari, Ali Boussaha, N. Djeddi, Billel Semmar
article en
1 citations

Abstract

In this paper, we study precise and exact traveling wave solutions of the conformable differential nonlinear Schrödinger equation. Then, we transform the given equation into an integer order differential equation by utilizing the wave transformation and the characteristics of the conformable derivative. To extract optical soliton solutions, we divide the wave profile into amplitude and phase components. Further, we introduce a new extension of a modified Jacobi elliptic functions method to the conformable differential nonlinear Schrödinger equation with group velocity dispersion and coefficients of second-order spatiotemporal dispersion.

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSVol. 116(4)
Badji Mokhtar-Annaba University (DZ), Ajman University (AE), Jadara University (JO), Al-Balqa Applied University (JO), Université Larbi Tébessi (DZ), Lusail University
Openalex Percentile: Top 41%
Nonlinear Waves and Solitons
0.28
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