The fractional soliton solutions and dynamical investigation for planer Hamiltonian system of Fokas model in optical fiber

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

The fractional soliton solutions and dynamical investigation for planer Hamiltonian system of Fokas model in optical fiber

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The fractional soliton solutions and dynamical investigation for planer Hamiltonian system of Fokas model in optical fiber

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Alexandria Engineering Journal

ISSN

1110-0168

e-ISSN

2090-2670

Svazek periodika

121

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

27-37

Kód UT WoS článku

001435136400001

EID výsledku v databázi Scopus

2-s2.0-85218411592