A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities
This paper presents a recently introduced innovative approach for analyzing closed-form solutions of nonlinear partial differential equations. While various methods exist for deriving closed-form solutions to many nonlinear evolution equations, additional solutions are still needed to study the vari...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-02-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824014455 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206993149755392 |
|---|---|
| author | F. Gassem Osman Osman Faez Alqarni Khaled Aldwoah Fathea M. Osman Birkea Manel Hleili |
| author_facet | F. Gassem Osman Osman Faez Alqarni Khaled Aldwoah Fathea M. Osman Birkea Manel Hleili |
| author_sort | F. Gassem |
| collection | DOAJ |
| description | This paper presents a recently introduced innovative approach for analyzing closed-form solutions of nonlinear partial differential equations. While various methods exist for deriving closed-form solutions to many nonlinear evolution equations, additional solutions are still needed to study the various dynamics of physical systems governed by nonlinear partial differential equations. Initially, we give general procedure of the Cham technique for solving nonlinear partial differential equations that yields eight kinds of solutions. This technique is applied to the complex Ginzburg–Landau equation, incorporating five different types of nonlinearities: Kerr law, cubic–quintic law, polynomial nonlinearity, quadratic–cubic law, and parabolic-nonlocal law. With the aid of the proposed strategy, we can obtain a wide array of optical solitons, including bright, breather, kink, periodic, and cusp-shaped solitons, under specific parameter conditions. |
| format | Article |
| id | doaj-art-fa9ead7193454e8cbf94dbc2f278aa80 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-fa9ead7193454e8cbf94dbc2f278aa802025-02-07T04:47:02ZengElsevierAlexandria Engineering Journal1110-01682025-02-01113551564A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearitiesF. Gassem0Osman Osman1Faez Alqarni2Khaled Aldwoah3Fathea M. Osman Birkea4Manel Hleili5Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Saudi Arabia; Corresponding authors.Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi Arabia; Corresponding authors.Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaThis paper presents a recently introduced innovative approach for analyzing closed-form solutions of nonlinear partial differential equations. While various methods exist for deriving closed-form solutions to many nonlinear evolution equations, additional solutions are still needed to study the various dynamics of physical systems governed by nonlinear partial differential equations. Initially, we give general procedure of the Cham technique for solving nonlinear partial differential equations that yields eight kinds of solutions. This technique is applied to the complex Ginzburg–Landau equation, incorporating five different types of nonlinearities: Kerr law, cubic–quintic law, polynomial nonlinearity, quadratic–cubic law, and parabolic-nonlocal law. With the aid of the proposed strategy, we can obtain a wide array of optical solitons, including bright, breather, kink, periodic, and cusp-shaped solitons, under specific parameter conditions.http://www.sciencedirect.com/science/article/pii/S1110016824014455Nonlinear equationsCham methodKerr lawComplex Ginzburg–Landau equationSolitonPartial differential equations |
| spellingShingle | F. Gassem Osman Osman Faez Alqarni Khaled Aldwoah Fathea M. Osman Birkea Manel Hleili A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities Alexandria Engineering Journal Nonlinear equations Cham method Kerr law Complex Ginzburg–Landau equation Soliton Partial differential equations |
| title | A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities |
| title_full | A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities |
| title_fullStr | A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities |
| title_full_unstemmed | A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities |
| title_short | A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities |
| title_sort | novel approach to construct optical solitons solutions of complex ginzburg landau equation with five distinct forms of nonlinearities |
| topic | Nonlinear equations Cham method Kerr law Complex Ginzburg–Landau equation Soliton Partial differential equations |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824014455 |
| work_keys_str_mv | AT fgassem anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT osmanosman anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT faezalqarni anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT khaledaldwoah anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT fatheamosmanbirkea anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT manelhleili anovelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT fgassem novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT osmanosman novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT faezalqarni novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT khaledaldwoah novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT fatheamosmanbirkea novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities AT manelhleili novelapproachtoconstructopticalsolitonssolutionsofcomplexginzburglandauequationwithfivedistinctformsofnonlinearities |