Dynamical wave structures for time-fractional (3+1)-dimensional p-type model via two improved techniques
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10259591" target="_blank" >RIV/61989100:27740/25:10259591 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S2666818125002293?pes=vor&utm_source=scopus&getft_integrator=scopus" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2666818125002293?pes=vor&utm_source=scopus&getft_integrator=scopus</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2025.101303" target="_blank" >10.1016/j.padiff.2025.101303</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Dynamical wave structures for time-fractional (3+1)-dimensional p-type model via two improved techniques
Popis výsledku v původním jazyce
In this work, we investigates the conformable time-fractional (3+1)-dimensional p-type model for the analytical solutions. The underlying model is explained the material characteristics and spontaneous processes in solid-state physics, such as magnetism and conventional particle physics. To obtain the analytical solutions, we used the novel Kumar–Malik method and the new extended direct algebraic method. We derived the analytical solutions through the application of the conformal fractional derivative and the fractional wave transformation. We successfully obtain several solutions in the form of rational, hyperbolic, mixed trigonometric, mixed hyperbolic, exponential, Jacobi elliptic, and trigonometric functions by using these methods. The found solutions include various solitary wave solutions as well as bright, dark, and w-shaped soliton solutions. With the use of Mathematica 13.0, the analytical soliton solutions are further shown in 3D, contour and 2D representations, assisting in the understanding of these complex wave phenomena.
Název v anglickém jazyce
Dynamical wave structures for time-fractional (3+1)-dimensional p-type model via two improved techniques
Popis výsledku anglicky
In this work, we investigates the conformable time-fractional (3+1)-dimensional p-type model for the analytical solutions. The underlying model is explained the material characteristics and spontaneous processes in solid-state physics, such as magnetism and conventional particle physics. To obtain the analytical solutions, we used the novel Kumar–Malik method and the new extended direct algebraic method. We derived the analytical solutions through the application of the conformal fractional derivative and the fractional wave transformation. We successfully obtain several solutions in the form of rational, hyperbolic, mixed trigonometric, mixed hyperbolic, exponential, Jacobi elliptic, and trigonometric functions by using these methods. The found solutions include various solitary wave solutions as well as bright, dark, and w-shaped soliton solutions. With the use of Mathematica 13.0, the analytical soliton solutions are further shown in 3D, contour and 2D representations, assisting in the understanding of these complex wave phenomena.
Klasifikace
Druh
J<sub>SC</sub> - Článek v periodiku v databázi SCOPUS
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
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Svazek periodika
16
Číslo periodika v rámci svazku
December
Stát vydavatele periodika
NL - Nizozemsko
Počet stran výsledku
17
Strana od-do
101303
Kód UT WoS článku
—
EID výsledku v databázi Scopus
2-s2.0-105017178295