Soliton structures for a generalized unstable space–time fractional nonlinear Schrödinger model in mathematical physics

One of the most important physical models for describing the dynamics of optical soliton propagation in the theory of optical fibers is the nonlinear Schrödinger equation (NLSE). Since there are so many uses for ultrafast signal routing systems and brief light pulses in telecommunication, optical so...

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Published inInternational journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 38; no. 14
Main Authors Tariq, Kalim U., Khater, Mostafa M. A., Ilyas, Medhat, Rezazadeh, Hadi, Inc, Mustafa
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 10.06.2024
World Scientific Publishing Co. Pte., Ltd
Subjects
Elliptic functions
Mathematical analysis
Nonlinear dynamics
Nonlinear optics
Nonlinear systems
Optical fibers
Pulse propagation
Schrodinger equation
Solitary waves
Stability analysis
Two dimensional analysis
traveling wave solutions
optical fibers
Nonlinear Schrödinger equation
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Summary:One of the most important physical models for describing the dynamics of optical soliton propagation in the theory of optical fibers is the nonlinear Schrödinger equation (NLSE). Since there are so many uses for ultrafast signal routing systems and brief light pulses in telecommunication, optical soliton propagation in nonlinear optical fibers is a subject of intense current interest. The conventional Khater approach and the extended direct algebraic method are used in this research to study a generalized unstable space–time fractional NLS model in mathematical physics. This leads to the discovery of solutions for the bright, dark, periodic, rational and elliptic functions. To illustrate the physical nature of the nonlinear model, the contour plots in 3D, 2D and 2D are produced by assigning the appropriate values to the arbitrary constants. Additionally, consideration is given to the stability analysis of the solutions to the governing equation. In the current era of communications network technology and nonlinear optics, the applied strategy appears to be a more potent and effective way for producing precise optical solutions to a number of various modern models of recent generations.
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ISSN:0217-9792
1793-6578
DOI:10.1142/S0217979224501741