Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation
In this article, the (3+1)-dimensional q-deformed Sinh-Gordon model is investigated to extract analytical solutions using the unified method. This technique effectively extracts polynomial and rational function solutions. When the appropriate limiting constraints are given to the parameters, this te...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
|
| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2321647 |
| _version_ | 1826929934113701888 |
|---|---|
| author | Haifa I. Alrebdi Nauman Raza Farwa Salman Norah A. M. Alsaif Abdel-Haleem Abdel-Aty H. Eleuch |
| author_facet | Haifa I. Alrebdi Nauman Raza Farwa Salman Norah A. M. Alsaif Abdel-Haleem Abdel-Aty H. Eleuch |
| author_sort | Haifa I. Alrebdi |
| collection | DOAJ |
| description | In this article, the (3+1)-dimensional q-deformed Sinh-Gordon model is investigated to extract analytical solutions using the unified method. This technique effectively extracts polynomial and rational function solutions. When the appropriate limiting constraints are given to the parameters, this technique successfully retrieves hyperbolic and trigonometric results. Some graphical representations of the solutions of the proposed equation are illustrated. Additionally, all feasible phase portraits are shown, the planer dynamical system of the equation under discussion is built using Galilean transformation, and sensitive inspection is used to verify the sensitivity of the equation under consideration. There aren't many previous methods for solving this kind of equation, either analytically or numerically. This work is highly valuable for the understanding of various symmetrical physical systems. |
| first_indexed | 2024-04-24T17:44:17Z |
| format | Article |
| id | doaj.art-ba50f97687cc46af9d39022ad0765aaf |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2025-02-17T16:17:35Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-ba50f97687cc46af9d39022ad0765aaf2024-12-17T11:38:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2321647Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equationHaifa I. Alrebdi0Nauman Raza1Farwa Salman2Norah A. M. Alsaif3Abdel-Haleem Abdel-Aty4H. Eleuch5Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Physics, College of Sciences, University of Bisha, Bisha, Saudi ArabiaDepartment of Applied Physics and Astronomy, University of Sharjah, Sharjah, UAEIn this article, the (3+1)-dimensional q-deformed Sinh-Gordon model is investigated to extract analytical solutions using the unified method. This technique effectively extracts polynomial and rational function solutions. When the appropriate limiting constraints are given to the parameters, this technique successfully retrieves hyperbolic and trigonometric results. Some graphical representations of the solutions of the proposed equation are illustrated. Additionally, all feasible phase portraits are shown, the planer dynamical system of the equation under discussion is built using Galilean transformation, and sensitive inspection is used to verify the sensitivity of the equation under consideration. There aren't many previous methods for solving this kind of equation, either analytically or numerically. This work is highly valuable for the understanding of various symmetrical physical systems.https://www.tandfonline.com/doi/10.1080/16583655.2024.2321647q-deformed Sinh-Gordon equationtravelling wave transformationunified methodsolitonquantitative analysis |
| spellingShingle | Haifa I. Alrebdi Nauman Raza Farwa Salman Norah A. M. Alsaif Abdel-Haleem Abdel-Aty H. Eleuch Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation Journal of Taibah University for Science q-deformed Sinh-Gordon equation travelling wave transformation unified method soliton quantitative analysis |
| title | Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation |
| title_full | Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation |
| title_fullStr | Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation |
| title_full_unstemmed | Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation |
| title_short | Phase characterization and exraction of new forms of solitons for the (3+1)-dimensional q-deformed Sinh-Gordon equation |
| title_sort | phase characterization and exraction of new forms of solitons for the 3 1 dimensional q deformed sinh gordon equation |
| topic | q-deformed Sinh-Gordon equation travelling wave transformation unified method soliton quantitative analysis |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2321647 |
| work_keys_str_mv | AT haifaialrebdi phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation AT naumanraza phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation AT farwasalman phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation AT norahamalsaif phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation AT abdelhaleemabdelaty phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation AT heleuch phasecharacterizationandexractionofnewformsofsolitonsforthe31dimensionalqdeformedsinhgordonequation |