Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model
The current work amalgamates the fascinating exploration of the Radhakrishnan–Kundu–Lakshmanan equation, which is a sophisticated mathematical framework in physics and finds applications in elucidating diverse physical phenomena. By leveraging the two recently developed computational approaches, nam...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2399870 |
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| author | Awatif Muflih Alqahtani Sonia Akram Moataz Alosaimi |
| author_facet | Awatif Muflih Alqahtani Sonia Akram Moataz Alosaimi |
| author_sort | Awatif Muflih Alqahtani |
| collection | DOAJ |
| description | The current work amalgamates the fascinating exploration of the Radhakrishnan–Kundu–Lakshmanan equation, which is a sophisticated mathematical framework in physics and finds applications in elucidating diverse physical phenomena. By leveraging the two recently developed computational approaches, namely the new extended direct algebraic method and the modified Sardar sub-equation method, we rigorously assess the novel soliton solutions including dark, bright-dark, dark-bright, periodic, singular, rational and mixed trigonometric forms. Furthermore, we also segregated W-shape, M-shape, bell shape, exponential, as well as hyperbolic soliton, which are not documented in the literature. We validate the stability and accuracy of extracted soliton wave solutions using the Hamiltonian property. Additionally, the Galilean transformation is applied and numerous standard types of results, including bifurcations, chaotic flows, and sensitivity analysis are presented. The obtained results are tested both numerically and with illuminating physical interpretations, which shows a better demonstration of the intricate dynamics of these models. |
| format | Article |
| id | doaj-art-143871ff7f4a4cc6b595ce8d45cc9b07 |
| institution | DOAJ |
| issn | 1658-3655 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-143871ff7f4a4cc6b595ce8d45cc9b072025-08-20T02:49:31ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2399870Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical modelAwatif Muflih Alqahtani0Sonia Akram1Moataz Alosaimi2Department of Mathematics, Shaqra University, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Gujrat, Gujrat, PakistanDepartment of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaThe current work amalgamates the fascinating exploration of the Radhakrishnan–Kundu–Lakshmanan equation, which is a sophisticated mathematical framework in physics and finds applications in elucidating diverse physical phenomena. By leveraging the two recently developed computational approaches, namely the new extended direct algebraic method and the modified Sardar sub-equation method, we rigorously assess the novel soliton solutions including dark, bright-dark, dark-bright, periodic, singular, rational and mixed trigonometric forms. Furthermore, we also segregated W-shape, M-shape, bell shape, exponential, as well as hyperbolic soliton, which are not documented in the literature. We validate the stability and accuracy of extracted soliton wave solutions using the Hamiltonian property. Additionally, the Galilean transformation is applied and numerous standard types of results, including bifurcations, chaotic flows, and sensitivity analysis are presented. The obtained results are tested both numerically and with illuminating physical interpretations, which shows a better demonstration of the intricate dynamics of these models.https://www.tandfonline.com/doi/10.1080/16583655.2024.2399870Soliton solutionsRKLanalytical techniquesstability propertybifurcation analysissensitive analysis |
| spellingShingle | Awatif Muflih Alqahtani Sonia Akram Moataz Alosaimi Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model Journal of Taibah University for Science Soliton solutions RKL analytical techniques stability property bifurcation analysis sensitive analysis |
| title | Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model |
| title_full | Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model |
| title_fullStr | Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model |
| title_full_unstemmed | Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model |
| title_short | Study of bifurcations, chaotic structures with sensitivity analysis and novel soliton solutions of non-linear dynamical model |
| title_sort | study of bifurcations chaotic structures with sensitivity analysis and novel soliton solutions of non linear dynamical model |
| topic | Soliton solutions RKL analytical techniques stability property bifurcation analysis sensitive analysis |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2399870 |
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