Bi-directional solitons of dual-mode Gardner equation derived from ideal fluid model
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10253974" target="_blank" >RIV/61989100:27740/24:10253974 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S2211379724000196?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2211379724000196?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.rinp.2024.107337" target="_blank" >10.1016/j.rinp.2024.107337</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Bi-directional solitons of dual-mode Gardner equation derived from ideal fluid model
Popis výsledku v původním jazyce
In this article, the main goal is to find the exact solution to the dual-mode Gardner equation derived from the ideal fluid model. To achieve this, two distinct methods will be employed: the tan/cot method and the tanh/coth method. Using these methods, the problem can be seen through different angles, providing a full understanding of how the equation works and the various solutions it provides. Furthermore, the periodic, kink and singular solutions will be illustrated through the use of 3D and 2D graphs. This visualization will clearly show how the phase velocity parameter affects the solutions, improving our understanding of wave dynamics within the dual-mode Gardner equation. The findings from this study help in understanding how both solitons and periodic solutions influence wave behavior in shallow water and how light travels through optical fibers.
Název v anglickém jazyce
Bi-directional solitons of dual-mode Gardner equation derived from ideal fluid model
Popis výsledku anglicky
In this article, the main goal is to find the exact solution to the dual-mode Gardner equation derived from the ideal fluid model. To achieve this, two distinct methods will be employed: the tan/cot method and the tanh/coth method. Using these methods, the problem can be seen through different angles, providing a full understanding of how the equation works and the various solutions it provides. Furthermore, the periodic, kink and singular solutions will be illustrated through the use of 3D and 2D graphs. This visualization will clearly show how the phase velocity parameter affects the solutions, improving our understanding of wave dynamics within the dual-mode Gardner equation. The findings from this study help in understanding how both solitons and periodic solutions influence wave behavior in shallow water and how light travels through optical fibers.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10300 - Physical sciences
Návaznosti výsledku
Projekt
—
Návaznosti
—
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
Results in Physics
ISSN
2211-3797
e-ISSN
2211-3797
Svazek periodika
57
Číslo periodika v rámci svazku
February
Stát vydavatele periodika
NL - Nizozemsko
Počet stran výsledku
7
Strana od-do
—
Kód UT WoS článku
001167456100001
EID výsledku v databázi Scopus
2-s2.0-85182760000