On some new travelling wave solutions and dynamical properties of the generalized Zakharov system
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255713" target="_blank" >RIV/61989100:27740/24:10255713 - isvavai.cz</a>
Výsledek na webu
<a href="https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0306319" target="_blank" >https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0306319</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1371/journal.pone.0306319" target="_blank" >10.1371/journal.pone.0306319</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
On some new travelling wave solutions and dynamical properties of the generalized Zakharov system
Popis výsledku v původním jazyce
This study examines the extended version of the Zakharov system characterizing the dispersive and ion acoustic wave propagation in plasma. The genuine, non-dispersive field depicts a shift in plasma ion density from its equilibrium state, whereas the complex, dispersive field depicts the fluctuating envelope of a highly oscillatory field of electricity. The main focus of the analysis is on employing the expanded Fan sub-equation approach to achieve some novel travelling wave structures including the explicit, periodic, linked wave, and other new exact solutions are developed for different values of this parameter. Three dimensional graphs are utilised to examine the properties of the obtained solutions. Furthermore, ideas from planar dynamical theory are applied in this work to analyse the intricate behaviour of the analysed model. Sensitivity analysis, multistability, quasi-periodic and chaotic patterns, Poincaré map, and the Lyapunov characteristic exponent are used to analyse the dynamical features.
Název v anglickém jazyce
On some new travelling wave solutions and dynamical properties of the generalized Zakharov system
Popis výsledku anglicky
This study examines the extended version of the Zakharov system characterizing the dispersive and ion acoustic wave propagation in plasma. The genuine, non-dispersive field depicts a shift in plasma ion density from its equilibrium state, whereas the complex, dispersive field depicts the fluctuating envelope of a highly oscillatory field of electricity. The main focus of the analysis is on employing the expanded Fan sub-equation approach to achieve some novel travelling wave structures including the explicit, periodic, linked wave, and other new exact solutions are developed for different values of this parameter. Three dimensional graphs are utilised to examine the properties of the obtained solutions. Furthermore, ideas from planar dynamical theory are applied in this work to analyse the intricate behaviour of the analysed model. Sensitivity analysis, multistability, quasi-periodic and chaotic patterns, Poincaré map, and the Lyapunov characteristic exponent are used to analyse the dynamical features.
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
2024
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
PLoS One
ISSN
1932-6203
e-ISSN
1932-6203
Svazek periodika
19
Číslo periodika v rámci svazku
10
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
33
Strana od-do
1
Kód UT WoS článku
001330415500024
EID výsledku v databázi Scopus
2-s2.0-85205806312