Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256401" target="_blank" >RIV/61989100:27740/25:10256401 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2090447924005598" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447924005598</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2024.103178" target="_blank" >10.1016/j.asej.2024.103178</a>
Alternative languages
Result language
angličtina
Original language name
Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Original language description
The study aims to analyze conservation laws and dynamics of the dual-mode Gardner equation for ideal fluid models. Lie symmetry analysis is applied to find symmetry generators, which in turn describe translation symmetries and abelian algebra. Lie theory converts the equation into a nonlinear ordinary differential equation using similarity variables. The model is transformed into a planar dynamical system via Galilean transformation, with phase portraits generated using bifurcation parameters. Runge-Kutta method is utilized to compute both super nonlinear and nonlinear wave solutions, with all solutions illustrated in the phase plane. Sensitivity and multistability analysis are conducted to examine chaotic behavior, quasiperiodic dynamics, and time series. Lyapunov characteristic exponents are discussed for chaos assessment. Numerical simulations reveal significant dynamical changes with alterations in frequencies and amplitude values. Explicit solutions are constructed via the power series method. Exploration of phase velocity and dispersion effects on the equation is done through modulation instability criteria. The multiplier scheme characterizes conserved vectors.
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
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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
Ain Shams Engineering Journal
ISSN
2090-4479
e-ISSN
2090-4495
Volume of the periodical
16
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
nestránkováno
UT code for WoS article
001393329100001
EID of the result in the Scopus database
2-s2.0-85210103085