Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255135" target="_blank" >RIV/61989100:27740/24:10255135 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.aimspress.com/article/doi/10.3934/math.2024992" target="_blank" >https://www.aimspress.com/article/doi/10.3934/math.2024992</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/math.2024992" target="_blank" >10.3934/math.2024992</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion

Popis výsledku v původním jazyce

In this study, the underlying traits of the new wave equation in extended (3 +1) dimensions, utilized in the field of plasma physics and fluids to comprehend nonlinear wave scenarios in various physical systems, were explored. Furthermore, this investigation enhanced comprehension of the characteristics of nonlinear waves present in seas and oceans. The analytical solutions of models under consideration were retrieved using the sub -equation approach and Sardar sub -equation approach. A diverse range of solitons, including bright, dark, combined dark -bright, and periodic singular solitons, was made available through the proposed methods. These solutions were illustrated through visual depictions utilizing 2D, 3D, and density plots with carefully chosen parameters. Subsequently, an analysis of the dynamical nature of the model was undertaken, encompassing various aspects such as bifurcation, chaos, and sensitivity. Bifurcation analysis was conducted via phase portraits at critical points, revealing the system&apos;s transition dynamics. Introducing an external periodic force induced chaotic phenomena in the dynamical system, which were visualized through time plots, twodimensional plots, three-dimensional plots, and the presentation of Lyapunov exponents. Furthermore, the sensitivity analysis of the investigated model was executed utilizing the Runge-Kutta method. The obtained findings indicated the e fficacy of the presented approaches for analyzing phase portraits and solitons over a wider range of nonlinear systems.

Název v anglickém jazyce

Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion

Popis výsledku anglicky

In this study, the underlying traits of the new wave equation in extended (3 +1) dimensions, utilized in the field of plasma physics and fluids to comprehend nonlinear wave scenarios in various physical systems, were explored. Furthermore, this investigation enhanced comprehension of the characteristics of nonlinear waves present in seas and oceans. The analytical solutions of models under consideration were retrieved using the sub -equation approach and Sardar sub -equation approach. A diverse range of solitons, including bright, dark, combined dark -bright, and periodic singular solitons, was made available through the proposed methods. These solutions were illustrated through visual depictions utilizing 2D, 3D, and density plots with carefully chosen parameters. Subsequently, an analysis of the dynamical nature of the model was undertaken, encompassing various aspects such as bifurcation, chaos, and sensitivity. Bifurcation analysis was conducted via phase portraits at critical points, revealing the system&apos;s transition dynamics. Introducing an external periodic force induced chaotic phenomena in the dynamical system, which were visualized through time plots, twodimensional plots, three-dimensional plots, and the presentation of Lyapunov exponents. Furthermore, the sensitivity analysis of the investigated model was executed utilizing the Runge-Kutta method. The obtained findings indicated the e fficacy of the presented approaches for analyzing phase portraits and solitons over a wider range of nonlinear systems.

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

2024

Kód důvěrnosti údajů

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

Název periodika

AIMS Mathematics

ISSN

2473-6988

e-ISSN

2473-6988

Svazek periodika

9

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

20390-20412

Kód UT WoS článku

001253608700003

EID výsledku v databázi Scopus

2-s2.0-85196827553