The fractional soliton solutions and dynamical investigation for planer Hamiltonian system of Fokas model in optical fiber
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257164" target="_blank" >RIV/61989100:27740/25:10257164 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1110016825002297" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1110016825002297</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aej.2025.02.052" target="_blank" >10.1016/j.aej.2025.02.052</a>
Alternative languages
Result language
angličtina
Original language name
The fractional soliton solutions and dynamical investigation for planer Hamiltonian system of Fokas model in optical fiber
Original language description
This research uses the Sardar sub-equation approach to study the optical soliton solutions of a time-fractional Fokas system that represents pulse propagation in mono-mode optical fiber. New optical solutions are derived in the mixed dark-bright, bright, wave, singular topological, and bell-shaped types by means of the current approach. The obtained solutions indicate that this method is very powerful for finding exact traveling wave solutions of nonlinear evolution equations. In order to visualize the propagation of developed soliton solutions, 2D, line plots, and 3D surface plots are depicted along with suitable parametric values. The first order dynamical system is constructed by using the Galilean transformation to develop the Hamiltonian function. The sensitivity analysis shows the dependability of the model under different initial conditions. The generated solutions guarantee that the approach used offers a strong and dynamic mathematical instrument to address a variety of non-linear wave issues. These optical solutions are ingenious and enthralling, with potential to advance our understanding of some diffusion processes and energy transfer in math models within different fields, i.e. pulse propagation in monomode optical fiber is considered.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Alexandria Engineering Journal
ISSN
1110-0168
e-ISSN
2090-2670
Volume of the periodical
121
Issue of the periodical within the volume
May
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
27-37
UT code for WoS article
001435136400001
EID of the result in the Scopus database
2-s2.0-85218411592