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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1534067 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562001147068416 |
|---|---|
| author | Farah M. Al-Askar Wael W. Mohammed |
| author_facet | Farah M. Al-Askar Wael W. Mohammed |
| author_sort | Farah M. Al-Askar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b4904233403447968d64ae4e4e659ee2 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b4904233403447968d64ae4e4e659ee22025-02-03T01:23:38ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1534067The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function MethodFarah M. Al-Askar0Wael W. Mohammed1Department of Mathematical ScienceDepartment of MathematicsThis 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.http://dx.doi.org/10.1155/2022/1534067 |
| spellingShingle | Farah M. Al-Askar Wael W. Mohammed The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method Advances in Mathematical Physics |
| title | The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method |
| title_full | The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method |
| title_fullStr | The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method |
| title_full_unstemmed | The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method |
| title_short | The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method |
| title_sort | analytical solutions of the stochastic fractional rkl equation via jacobi elliptic function method |
| url | http://dx.doi.org/10.1155/2022/1534067 |
| work_keys_str_mv | AT farahmalaskar theanalyticalsolutionsofthestochasticfractionalrklequationviajacobiellipticfunctionmethod AT waelwmohammed theanalyticalsolutionsofthestochasticfractionalrklequationviajacobiellipticfunctionmethod AT farahmalaskar analyticalsolutionsofthestochasticfractionalrklequationviajacobiellipticfunctionmethod AT waelwmohammed analyticalsolutionsofthestochasticfractionalrklequationviajacobiellipticfunctionmethod |