The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method

This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr law. To find novel elliptic, trigonometric, rational, and stochastic fractional solutions, the Jacobi elliptic...

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Bibliographic Details
Published inAdvances in Mathematical Physics Vol. 2022; pp. 1 - 8
Main Authors Al-Askar, Farah M., Mohammed, Wael W.
Format Journal Article
LanguageEnglish
Published New York Hindawi 16.08.2022
John Wiley & Sons, Inc
Wiley
Subjects
Biology
Elliptic functions
Exact solutions
Lie groups
Optical fibers
Partial differential equations
Physics
Schrodinger equation
Signal processing
Solitary waves
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ISSN1687-9120
1687-9139
DOI10.1155/2022/1534067

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Summary:This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr law. To find novel elliptic, trigonometric, rational, and stochastic fractional solutions, the Jacobi elliptic function technique is applied. Due to the Radhakrishnan-Kundu-Lakshmanan equation’s importance in modeling the propagation of solitons along an optical fiber, the derived solutions are vital for characterizing a number of key physical processes. Additionally, to show the impact of multiplicative noise on these solutions, we employ MATLAB tools to present some of the collected solutions in 2D and 3D graphs. Finally, we demonstrate that multiplicative noise stabilizes the analytical solutions of SFRKLE at zero.
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ISSN:1687-9120
1687-9139
DOI:10.1155/2022/1534067