Integrating data overlaps and nonlinear dynamics: A novel approach to the Davey-Stewartson system in optical fluid model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257674" target="_blank" >RIV/61989100:27740/25:10257674 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S2090447925001613?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447925001613?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.asej.2025.103420" target="_blank" >10.1016/j.asej.2025.103420</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Integrating data overlaps and nonlinear dynamics: A novel approach to the Davey-Stewartson system in optical fluid model

Popis výsledku v původním jazyce

In this study, the newly developed (2 + 1)-dimensional Davey-Stewartson system, characterized by parabolic law nonlinearity, is examined. This equation is recognized as significant for modeling surface wave patterns in finite-depth conditions. The model is initially transformed into lower dimensions using the wave transformation. Various soliton solutions, including kink, anti-kink, periodic, and chirped solitons, are derived using the generalized logistic equation method. These soliton structures have practical applications in fields such as optical pulse propagation in fiber optics, signal transmission in communication systems, energy transport in ocean engineering, and biological wave modeling, particularly in understanding nonlinear wave dynamics in shallow water and geophysical flows. To deepen our understanding of the physics behind these solutions, they are visualized using various representations, including 3D plots, 2D plots, density plots, and polar plots. Following this, a phase portrait analysis is conducted on the critical points of the unperturbed dynamical system. Subsequently, an outward force is introduced, and the perturbed system&apos;s behavior is examined using advanced chaos detection techniques. These include Poincar &amp; eacute; maps, time series graphs, multistability analysis, chaotic attractors, return maps, power spectra, and Lyapunov exponents. A newly introduced bidirectional scatter plot approach is employed to perform a comparative analysis of solution behaviors, effectively highlighting overlapping regions and distinctions within their solution spaces through data points. This study contributes to the understanding of nonlinear wave systems and provides new tools for future research in applied mathematics.

Název v anglickém jazyce

Integrating data overlaps and nonlinear dynamics: A novel approach to the Davey-Stewartson system in optical fluid model

Popis výsledku anglicky

In this study, the newly developed (2 + 1)-dimensional Davey-Stewartson system, characterized by parabolic law nonlinearity, is examined. This equation is recognized as significant for modeling surface wave patterns in finite-depth conditions. The model is initially transformed into lower dimensions using the wave transformation. Various soliton solutions, including kink, anti-kink, periodic, and chirped solitons, are derived using the generalized logistic equation method. These soliton structures have practical applications in fields such as optical pulse propagation in fiber optics, signal transmission in communication systems, energy transport in ocean engineering, and biological wave modeling, particularly in understanding nonlinear wave dynamics in shallow water and geophysical flows. To deepen our understanding of the physics behind these solutions, they are visualized using various representations, including 3D plots, 2D plots, density plots, and polar plots. Following this, a phase portrait analysis is conducted on the critical points of the unperturbed dynamical system. Subsequently, an outward force is introduced, and the perturbed system&apos;s behavior is examined using advanced chaos detection techniques. These include Poincar &amp; eacute; maps, time series graphs, multistability analysis, chaotic attractors, return maps, power spectra, and Lyapunov exponents. A newly introduced bidirectional scatter plot approach is employed to perform a comparative analysis of solution behaviors, effectively highlighting overlapping regions and distinctions within their solution spaces through data points. This study contributes to the understanding of nonlinear wave systems and provides new tools for future research in applied mathematics.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

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

Ain Shams Engineering Journal

ISSN

2090-4479

e-ISSN

2090-4495

Svazek periodika

16

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

103420

Kód UT WoS článku

001484984800001

EID výsledku v databázi Scopus

2-s2.0-105003587201