A complete dynamical analysis of discrete electric lattice coupled with modified Zakharov-Kuznetsov equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255728" target="_blank" >RIV/61989100:27740/24:10255728 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S266681812400264X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S266681812400264X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2024.100878" target="_blank" >10.1016/j.padiff.2024.100878</a>
Alternative languages
Result language
angličtina
Original language name
A complete dynamical analysis of discrete electric lattice coupled with modified Zakharov-Kuznetsov equation
Original language description
The behavior of nonlinear waves within a modified Zakharov-Kuznetsov equation and their interactions with discrete electric lattice structures are examined in this study. The ϕ6MINUS SIGN model expansion method is utilized to acquire substantial knowledge into the complex dynamics of the system under consideration, particularly with regard to the discrete electric lattice and analytical electrical solitons. By incorporating higher-order effects and improving accuracy in representing specific physical conditions, the study achieves a more realistic portrayal of nonlinear wave dynamics. The investigation also sheds light on the relationship between non-linearity, discreteness, and equation dynamics by exploring the conditions that lead to the formation of solitons and other nonlinear structures. In addition, a unique set of electrical solitons is defined to explore dynamic behaviors such as chaotic, quasi-periodic, and periodic motions under various parameterized conditions, including an external damping force. Phase plane analysis is visualized by using dynamic structure 3D and 2D phase plots, is used for bifurcation and sensitivity inspections. Finally, time series graphs are offered as mathematical depictions of solitary waves, and Lyapunov exponents with real and complex eigenvalues are used to study the stability and chaotic behaviors of the system. (C) 2024 The Author(s)
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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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
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Volume of the periodical
11
Issue of the periodical within the volume
September
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85201507593