Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion
In this paper, the (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger system (NCFSSS) generated by the multiplicative Brownian motion is treated. To get new rational, trigonometric, hyperbolic, and elliptic stochastic solutions, we use two different methods: the sine-cosine an...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6306220 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551027152257024 |
|---|---|
| author | Sahar Albosaily Wael W. Mohammed Ekram E. Ali R. Sidaoui E. S. Aly M. El-Morshedy |
| author_facet | Sahar Albosaily Wael W. Mohammed Ekram E. Ali R. Sidaoui E. S. Aly M. El-Morshedy |
| author_sort | Sahar Albosaily |
| collection | DOAJ |
| description | In this paper, the (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger system (NCFSSS) generated by the multiplicative Brownian motion is treated. To get new rational, trigonometric, hyperbolic, and elliptic stochastic solutions, we use two different methods: the sine-cosine and the Jacobi elliptic function methods. Moreover, we use the MATLAB tools to plot our figures to introduce a variety of 2D and 3D graphs to highlight the effect of the multiplicative noise on the exact solutions of the NCFSSS. Finally, we illustrate that the multiplicative Brownian motion stabilizes the solutions of NCFSSS a round zero. |
| format | Article |
| id | doaj-art-2177e5be4d1646aaa9be38b0eecc8f06 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2177e5be4d1646aaa9be38b0eecc8f062025-02-03T06:05:00ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6306220Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian MotionSahar Albosaily0Wael W. Mohammed1Ekram E. Ali2R. Sidaoui3E. S. Aly4M. El-Morshedy5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsMathematics DepartmentDepartment of MathematicsIn this paper, the (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger system (NCFSSS) generated by the multiplicative Brownian motion is treated. To get new rational, trigonometric, hyperbolic, and elliptic stochastic solutions, we use two different methods: the sine-cosine and the Jacobi elliptic function methods. Moreover, we use the MATLAB tools to plot our figures to introduce a variety of 2D and 3D graphs to highlight the effect of the multiplicative noise on the exact solutions of the NCFSSS. Finally, we illustrate that the multiplicative Brownian motion stabilizes the solutions of NCFSSS a round zero.http://dx.doi.org/10.1155/2022/6306220 |
| spellingShingle | Sahar Albosaily Wael W. Mohammed Ekram E. Ali R. Sidaoui E. S. Aly M. El-Morshedy Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion Journal of Function Spaces |
| title | Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion |
| title_full | Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion |
| title_fullStr | Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion |
| title_full_unstemmed | Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion |
| title_short | Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion |
| title_sort | fractional stochastic solutions for the generalized 2 1 dimensional nonlinear conformable fractional schrodinger system forced by multiplicative brownian motion |
| url | http://dx.doi.org/10.1155/2022/6306220 |
| work_keys_str_mv | AT saharalbosaily fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion AT waelwmohammed fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion AT ekrameali fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion AT rsidaoui fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion AT esaly fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion AT melmorshedy fractionalstochasticsolutionsforthegeneralized21dimensionalnonlinearconformablefractionalschrodingersystemforcedbymultiplicativebrownianmotion |