Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257590" target="_blank" >RIV/61989100:27740/25:10257590 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S2090447925001364" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447925001364</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2025.103395" target="_blank" >10.1016/j.asej.2025.103395</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation
Popis výsledku v původním jazyce
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a B & auml;cklund transformation for the equation. Utilizing this bilinear B & auml;cklund transformation, we derive solutions comprising rational and exponential functions. Moreover, the Hirota bilinear representation is employed extensively to decipher the dynamics of two-wave, three-wave, rogue, lump-kink, breather, and multi-wave solutions. Detailed visualizations, including contour plots and 3D profiles across diverse parameter settings, offer deeper insights into the characteristics of these results. A traveling wave transformation further simplifies the equation into an ordinary differential equation, and the use of a new auxiliary equation method yields solutions that encompass trigonometric, hyperbolic, rational, and exponential functions. Our results highlight the effectiveness and efficiency of these methods in analytically solving nonlinear partial differential equations.
Název v anglickém jazyce
Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation
Popis výsledku anglicky
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a B & auml;cklund transformation for the equation. Utilizing this bilinear B & auml;cklund transformation, we derive solutions comprising rational and exponential functions. Moreover, the Hirota bilinear representation is employed extensively to decipher the dynamics of two-wave, three-wave, rogue, lump-kink, breather, and multi-wave solutions. Detailed visualizations, including contour plots and 3D profiles across diverse parameter settings, offer deeper insights into the characteristics of these results. A traveling wave transformation further simplifies the equation into an ordinary differential equation, and the use of a new auxiliary equation method yields solutions that encompass trigonometric, hyperbolic, rational, and exponential functions. Our results highlight the effectiveness and efficiency of these methods in analytically solving nonlinear partial differential equations.
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
7
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
15
Strana od-do
103395
Kód UT WoS článku
001473589700001
EID výsledku v databázi Scopus
2-s2.0-105002492954