Dynamical and sensitivity analysis for fractional Kundu-Eckhaus system to produce solitary wave solutions via new mapping approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255155" target="_blank" >RIV/61989100:27740/24:10255155 - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2375667" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2375667</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/25765299.2024.2375667" target="_blank" >10.1080/25765299.2024.2375667</a>
Alternative languages
Result language
angličtina
Original language name
Dynamical and sensitivity analysis for fractional Kundu-Eckhaus system to produce solitary wave solutions via new mapping approach
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
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Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Arab Journal of Basic and Applied Sciences
ISSN
2576-5299
e-ISSN
2576-5299
Volume of the periodical
31
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
393-404
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85199042437