Chaotic demonstration of the twin-core couplers with Kerr law non-linearity employing beta derivative

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257903" target="_blank" >RIV/61989100:27740/25:10257903 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S266681812500124X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S266681812500124X</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.padiff.2025.101197" target="_blank" >10.1016/j.padiff.2025.101197</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Chaotic demonstration of the twin-core couplers with Kerr law non-linearity employing beta derivative

Popis výsledku v původním jazyce

The generalized auxiliary equation approach is employed to derive enhanced solitary wave solutions for nonlinear directional couplers utilizing optical metamaterials. The study highlights the influence of the fractional Beta derivative parameter on soliton dynamics, demonstrating its crucial role in shaping soliton amplitudes and wave structures. Various soliton families including semi-bright solitons, solitary dark pitched solitons, single solitons, and mixed hyperbolic, trigonometric, and rational solitons are systematically constructed. Furthermore, the impact of overlapping functions on soliton interactions is investigated, revealing their significant role in amplitude modulation, wave localization, and phase shifts. This insight provides a deeper understanding of nonlinear optical interactions and enhances the accuracy of wave propagation models in directional couplers. These solutions are further analyzed using advanced computational tools to extract numerical insights. Beyond mathematical derivations, the physical relevance of these findings is explored through phase portrait analysis, quasi-periodic patterns, Lyapunov exponents, 2D Power spectrum and 3D attractors. These analyses provide a deeper understanding of energy transfer mechanisms, stability characteristics, and nonlinear optical interactions within directional couplers. The sensitivity evaluation underscores the system&apos;s response to perturbations, offering valuable implications for the design and optimization of optical communication systems, signal processing, and photonic device engineering. © 2025 The Authors

Název v anglickém jazyce

Chaotic demonstration of the twin-core couplers with Kerr law non-linearity employing beta derivative

Popis výsledku anglicky

The generalized auxiliary equation approach is employed to derive enhanced solitary wave solutions for nonlinear directional couplers utilizing optical metamaterials. The study highlights the influence of the fractional Beta derivative parameter on soliton dynamics, demonstrating its crucial role in shaping soliton amplitudes and wave structures. Various soliton families including semi-bright solitons, solitary dark pitched solitons, single solitons, and mixed hyperbolic, trigonometric, and rational solitons are systematically constructed. Furthermore, the impact of overlapping functions on soliton interactions is investigated, revealing their significant role in amplitude modulation, wave localization, and phase shifts. This insight provides a deeper understanding of nonlinear optical interactions and enhances the accuracy of wave propagation models in directional couplers. These solutions are further analyzed using advanced computational tools to extract numerical insights. Beyond mathematical derivations, the physical relevance of these findings is explored through phase portrait analysis, quasi-periodic patterns, Lyapunov exponents, 2D Power spectrum and 3D attractors. These analyses provide a deeper understanding of energy transfer mechanisms, stability characteristics, and nonlinear optical interactions within directional couplers. The sensitivity evaluation underscores the system&apos;s response to perturbations, offering valuable implications for the design and optimization of optical communication systems, signal processing, and photonic device engineering. © 2025 The Authors

Druh

J_SC - Článek v periodiku v databázi SCOPUS

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

Partial Differential Equations in Applied Mathematics

ISSN

2666-8181

e-ISSN

2666-8181

Svazek periodika

14

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

101197

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-105004276864