A Modified Analytical Data-Mapping Framework for Symmetric Multiscale Soliton and Chaotic Dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10259593" target="_blank" >RIV/61989100:27740/25:10259593 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2073-8994/17/11/1963" target="_blank" >https://www.mdpi.com/2073-8994/17/11/1963</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym17111963" target="_blank" >10.3390/sym17111963</a>
Alternative languages
Result language
angličtina
Original language name
A Modified Analytical Data-Mapping Framework for Symmetric Multiscale Soliton and Chaotic Dynamics
Original language description
The (3 + 1)-dimensional KdV-Calogero-Bogoyavlenskii-Schiff equation, a model that describes long-wave interactions and has numerous applications in mathematics, engineering, and physics, is examined in this work. First, a wave transformation is used to reduce the equation to lower dimensions. The modified Khater method is then used to derive different types of solitary wave solutions, such as chirped, kink, periodic, and kink-bright types. By allocating suitable constant parameters, 3D, 2D, and contour plots are created to demonstrate the physical behavior of these solutions. Phase portraits are used to qualitatively analyze the undisturbed planar system using bifurcation theory. The system is then perturbed by an external force, resulting in chaotic dynamics. Chaos in the system is confirmed using multiple diagnostic tools, including time series plots, Poincar & eacute; sections, chaotic attractors, return maps, bifurcation diagrams, power spectra, and Lyapunov exponents. The stability of the model is further investigated with varying initial conditions. A bidirectional scatter plot technique, which efficiently reveals overlapping regions using data point distributions, is presented for comparing solution behaviors. Overall, this work offers useful tools for advancing applied mathematics research as well as a deeper understanding of nonlinear wave dynamics.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry
ISSN
2073-8994
e-ISSN
2073-8994
Volume of the periodical
17
Issue of the periodical within the volume
11
Country of publishing house
CH - SWITZERLAND
Number of pages
24
Pages from-to
1963
UT code for WoS article
001624478900001
EID of the result in the Scopus database
2-s2.0-105023370621