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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

21100 - Other engineering and technologies

Project

—

Continuities

O - Projekt operacniho programu

Publication year

2025

Confidentiality

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

Name of the periodical

Ain Shams Engineering Journal

ISSN

2090-4479

e-ISSN

2090-4495

Volume of the periodical

16

Issue of the periodical within the volume

7

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

23

Pages from-to

103420

UT code for WoS article

001484984800001

EID of the result in the Scopus database

2-s2.0-105003587201