Dynamical and Sensitivity Analysis for Fractional Kundu–eckhaus System To Produce Solitary Wave Solutions Via New Mapping Approach
dc.authorscopusid | 57212548674 | |
dc.authorscopusid | 57213314244 | |
dc.authorscopusid | 56638410400 | |
dc.contributor.author | Rehman, A.U. | |
dc.contributor.author | Riaz, M.B. | |
dc.contributor.author | Tunç, O. | |
dc.date.accessioned | 2025-05-10T16:55:17Z | |
dc.date.available | 2025-05-10T16:55:17Z | |
dc.date.issued | 2024 | |
dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
dc.department-temp | Rehman A.U., Department of Mathematics, University of Management and Technology Lahore, Punjab, Lahore, Pakistan; Riaz M.B., IT4Innovations, VSB–Technical University of Ostrava, Ostrava, Czech Republic, Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon; Tunç O., Department of Computer Programming, Baskale Vocational School, Van Yuzuncu Yil University, Van, Tuşba, Turkey | en_US |
dc.description.abstract | The fractional Kundu–Eckhaus (FKE) equation, a nonlinear mathematical model, holds significance in assessing optical fibre communication systems. It takes into account various factors, including dispersion, noise and nonlinearity, which can impact the quality of signal and rates of data transmission in the systems of optical fibre. Utilizing the FKE model can contribute to optimizing the features of optical fibre network. In this academic investigation, an innovative mapping approach is applied to the FKE model to unveil novel soliton solutions. This is achieved through the utilization of beta derivative by employing the new mapping method and computer algebraic system such as Maple. The derived results are expressed in terms of hyperbolic and trigonometric functions. Our study elucidates a variety of soliton patterns such as periodic, dark, kink, bright, singular, dark–bright soliton solutions. To facilitate comprehension, certain solutions are visually depicted through two-dimensional, three-dimensional, and phase plots depicting bifurcation characteristics utilizing Maple software. Furthermore, the sensitivity of the model is explored across diverse initial conditions. Our study establishes a connection between computer science and soliton physics, emphasizing the pivotal role of soliton phenomena in advancing simulations and computational modelling. © 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain. | en_US |
dc.description.sponsorship | Ministerstvo Školství, Mládeže a Tělovýchovy, MŠMT, (90254); Ministerstvo Školství, Mládeže a Tělovýchovy, MŠMT | en_US |
dc.identifier.doi | 10.1080/25765299.2024.2375667 | |
dc.identifier.endpage | 404 | en_US |
dc.identifier.issn | 2576-5299 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.scopus | 2-s2.0-85199042437 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.startpage | 393 | en_US |
dc.identifier.uri | https://doi.org/10.1080/25765299.2024.2375667 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14720/3426 | |
dc.identifier.volume | 31 | en_US |
dc.identifier.wosquality | N/A | |
dc.language.iso | en | en_US |
dc.publisher | Taylor and Francis Ltd. | en_US |
dc.relation.ispartof | Arab Journal of Basic and Applied Sciences | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Bifurcation | en_US |
dc.subject | Conformable Derivative | en_US |
dc.subject | Extinction Wave | en_US |
dc.subject | Fractional Kundu–Eckhaus Model | en_US |
dc.subject | New Mapping Method | en_US |
dc.subject | Sensitivity | en_US |
dc.subject | Soliton Patterns | en_US |
dc.title | Dynamical and Sensitivity Analysis for Fractional Kundu–eckhaus System To Produce Solitary Wave Solutions Via New Mapping Approach | en_US |
dc.type | Article | en_US |