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

Aicha Boussaha; Billel Semmar; Mohammed Al-Smadi; Shrideh Al-Omari; Nadir Djeddi

doi:10.31489/2024M4/69-77

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

Aicha Boussaha
, Billel Semmar
, Mohammed Al-Smadi
, Shrideh Al-Omari
, Nadir Djeddi

Nonlinear Dynamic Research Centre (NDRC)

Badji Mokhtar University
Lusail University
Al-Balqa Applied University
Jadara University
Ajman University
University of Tebessa

Research output: Contribution to journal › Article › peer-review

2 Scopus 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.

Original language	English
Pages (from-to)	69-77
Number of pages	9
Journal	Bulletin of the Karaganda University. Mathematics Series
Volume	116
Issue number	4
DOIs	https://doi.org/10.31489/2024M4/69-77
State	Published - 2024

Keywords

Conformable fractional derivative
Extracting optical solitons-solutions
Modified Jacobi elliptic functions method
Non-linear Schrödinger equation

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10.31489/2024M4/69-77

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title = "A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schr{\"o}dinger equation",

abstract = "In this paper, we study precise and exact traveling wave solutions of the conformable differential nonlinear Schr{\"o}dinger 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 Schr{\"o}dinger equation with group velocity dispersion and coefficients of second-order spatiotemporal dispersion.",

keywords = "Conformable fractional derivative, Extracting optical solitons-solutions, Modified Jacobi elliptic functions method, Non-linear Schr{\"o}dinger equation",

author = "Aicha Boussaha and Billel Semmar and Mohammed Al-Smadi and Shrideh Al-Omari and Nadir Djeddi",

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T1 - A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schrödinger equation

AU - Boussaha, Aicha

AU - Semmar, Billel

AU - Al-Smadi, Mohammed

AU - Al-Omari, Shrideh

AU - Djeddi, Nadir

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Conformable fractional derivative

KW - Extracting optical solitons-solutions

KW - Modified Jacobi elliptic functions method

KW - Non-linear Schrödinger equation

UR - https://www.scopus.com/pages/publications/85214451499

U2 - 10.31489/2024M4/69-77

DO - 10.31489/2024M4/69-77

M3 - Article

AN - SCOPUS:85214451499

SN - 2518-7929

VL - 116

SP - 69

EP - 77

JO - Bulletin of the Karaganda University. Mathematics Series

JF - Bulletin of the Karaganda University. Mathematics Series

IS - 4

ER -

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

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