Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion
Original language description
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'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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
AIMS Mathematics
ISSN
2473-6988
e-ISSN
2473-6988
Volume of the periodical
9
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
20390-20412
UT code for WoS article
001253608700003
EID of the result in the Scopus database
2-s2.0-85196827553