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Dynamical and sensitivity analysis for fractional Kundu–Eckhaus system to produce solitary wave solutions via new mapping approach

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Název: Dynamical and sensitivity analysis for fractional Kundu–Eckhaus system to produce solitary wave solutions via new mapping approach
Autoři: Aziz Ur Rehman, Muhammad Bilal Riaz, Osman Tunç
Zdroj: Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 393-404 (2024)
Informace o vydavateli: Informa UK Limited, 2024.
Rok vydání: 2024
Témata: extinction wave, Science, 0103 physical sciences, Bifurcation, conformable derivative, sensitivity, fractional Kundu–Eckhaus model, 01 natural sciences, new mapping method
Popis: 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.
Druh dokumentu: Article
Jazyk: English
ISSN: 2576-5299
DOI: 10.1080/25765299.2024.2375667
Přístupová URL adresa: https://doaj.org/article/14c5c5400113492e9eed50558f3765ca
Rights: CC BY
Přístupové číslo: edsair.doi.dedup.....86ffda2b97ef64f9bbc356fd41d48222
Databáze: OpenAIRE
Popis
Abstrakt: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.
ISSN:25765299
DOI:10.1080/25765299.2024.2375667