Novel Explosive and Super Fractional Nonlinear Schrödinger Structures
The fractional nonlinear Schrödinger equation solutions have been investigated via fraction space-time derivative sense. We applied the unified technique for this model to extract new structures of waves. The fractional property structures were obtained from the model in form of hyperbolic, soliton,...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/9996773 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849695312096002048 |
|---|---|
| author | H. G. Abdelwahed A. F. Alsarhan E. K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_facet | H. G. Abdelwahed A. F. Alsarhan E. K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_sort | H. G. Abdelwahed |
| collection | DOAJ |
| description | The fractional nonlinear Schrödinger equation solutions have been investigated via fraction space-time derivative sense. We applied the unified technique for this model to extract new structures of waves. The fractional property structures were obtained from the model in form of hyperbolic, soliton, shock, explosive, superperiodic, and trigonometric structures. It was found that increasing fractal factors produces a change in the phase and wave frequency of propagating nonlinear waves. The physical models that explain tidal energy generation are crucial to the development of contemporary green power systems. The parametric description for wave characteristics in this process is created by the solution of nonlinear equations. The obtained solutions are applicable in new communications, energy applications, fractional quantum modes, and in science and complex phenomena in astrophysics. Finally, the proposed technique can be implemented for further fractional physical models. |
| format | Article |
| id | doaj-art-d7a580ddede342adacfe9ea226a6bf2d |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d7a580ddede342adacfe9ea226a6bf2d2025-08-20T03:19:49ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/9996773Novel Explosive and Super Fractional Nonlinear Schrödinger StructuresH. G. Abdelwahed0A. F. Alsarhan1E. K. El-Shewy2Mahmoud A. E. Abdelrahman3Department of PhysicsDepartment of PhysicsTheoretical Physics GroupDepartment of MathematicsThe fractional nonlinear Schrödinger equation solutions have been investigated via fraction space-time derivative sense. We applied the unified technique for this model to extract new structures of waves. The fractional property structures were obtained from the model in form of hyperbolic, soliton, shock, explosive, superperiodic, and trigonometric structures. It was found that increasing fractal factors produces a change in the phase and wave frequency of propagating nonlinear waves. The physical models that explain tidal energy generation are crucial to the development of contemporary green power systems. The parametric description for wave characteristics in this process is created by the solution of nonlinear equations. The obtained solutions are applicable in new communications, energy applications, fractional quantum modes, and in science and complex phenomena in astrophysics. Finally, the proposed technique can be implemented for further fractional physical models.http://dx.doi.org/10.1155/2023/9996773 |
| spellingShingle | H. G. Abdelwahed A. F. Alsarhan E. K. El-Shewy Mahmoud A. E. Abdelrahman Novel Explosive and Super Fractional Nonlinear Schrödinger Structures Journal of Mathematics |
| title | Novel Explosive and Super Fractional Nonlinear Schrödinger Structures |
| title_full | Novel Explosive and Super Fractional Nonlinear Schrödinger Structures |
| title_fullStr | Novel Explosive and Super Fractional Nonlinear Schrödinger Structures |
| title_full_unstemmed | Novel Explosive and Super Fractional Nonlinear Schrödinger Structures |
| title_short | Novel Explosive and Super Fractional Nonlinear Schrödinger Structures |
| title_sort | novel explosive and super fractional nonlinear schrodinger structures |
| url | http://dx.doi.org/10.1155/2023/9996773 |
| work_keys_str_mv | AT hgabdelwahed novelexplosiveandsuperfractionalnonlinearschrodingerstructures AT afalsarhan novelexplosiveandsuperfractionalnonlinearschrodingerstructures AT ekelshewy novelexplosiveandsuperfractionalnonlinearschrodingerstructures AT mahmoudaeabdelrahman novelexplosiveandsuperfractionalnonlinearschrodingerstructures |