Unraveling the complexity of solitary waves in the Klein-Fock-Gordon equation: dynamical insights into bifurcation and Chaos analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256513" target="_blank" >RIV/61989100:27740/25:10256513 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40808-024-02249-z#citeas" target="_blank" >https://link.springer.com/article/10.1007/s40808-024-02249-z#citeas</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40808-024-02249-z" target="_blank" >10.1007/s40808-024-02249-z</a>
Alternative languages
Result language
angličtina
Original language name
Unraveling the complexity of solitary waves in the Klein-Fock-Gordon equation: dynamical insights into bifurcation and Chaos analysis
Original language description
Soliton resonances and soliton interaction have gained significant attention in recent years within the field of nonlinear science and engineering due to their promising potential for various applications. This research provides a comprehensive analysis of the soliton interaction dynamics described by the nth-order Klein-Fock-Gordon equation. In this study, we used the improved modified Sardar subequation and modified Khater method to find the soliton solution to the nonlinear third-order Klein-Fock-Gordon equation. We construct dark, bright, kink, and periodic optical solitons using the modified Sardar subequation and Khater methods. We employ the suitable traveling wave transformation to convert the model equation into an ordinary differential equation. To analyze the physical behavior of the model, we graphically plotted some solutions, selecting appropriate parameter values in two-dimensional, three-dimensional, and contour plots. We examine the phase portrait of the equilibrium point to convert the equation into a planar dynamical system using the Galilean transformation. We conduct a sensitivity analysis to determine how sensitive our system is to the initial condition. When we apply an additional external force to the system, we also examine the chaotic analysis, observing how the dynamical system responds to various forces and comparing the patterns of periodic, quasi-periodic, and chaotic behavior. In this study, we performed the calculations using the Mathematica and Maple software programs.
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
10700 - Other natural sciences
Result continuities
Project
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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
Modeling Earth Systems and Environment
ISSN
2363-6203
e-ISSN
2363-6211
Volume of the periodical
11
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
51
UT code for WoS article
001386848900005
EID of the result in the Scopus database
2-s2.0-85213798792