Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Popis výsledku anglicky
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.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10100 - Mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
O - Projekt operacniho programu
Ostatní
Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Ain Shams Engineering Journal
ISSN
2090-4479
e-ISSN
2090-4495
Svazek periodika
16
Číslo periodika v rámci svazku
1
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
13
Strana od-do
nestránkováno
Kód UT WoS článku
001393329100001
EID výsledku v databázi Scopus
2-s2.0-85210103085