Analysis of the integro-differential Jaulent-Miodek evolution equation by nonlinear self-adjointness and Lie theory
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258132" target="_blank" >RIV/61989100:27740/25:10258132 - isvavai.cz</a>
Výsledek na webu
<a href="https://doi.org/10.1186/s13661-025-02066-y" target="_blank" >https://doi.org/10.1186/s13661-025-02066-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13661-025-02066-y" target="_blank" >10.1186/s13661-025-02066-y</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Analysis of the integro-differential Jaulent-Miodek evolution equation by nonlinear self-adjointness and Lie theory
Popis výsledku v původním jazyce
The current exploration is related to the extraction of the exact explicit solutions of the Integrodifferential Jaulent-Miodek evolution (IDJME) equation. In general, the Jaulent-Miodek equation has many applications in many divisions of physics, for example optics and fluid dynamics. The symmetries of this (2 + 1)-dimensional (IDJME) equation are derived, and it admits the 8th Lie algebra. The similarity transformation method is considered to convert the NLPDE to the nonlinear ODE by using the translational symmetries. Then, we calculated the traveling-wave solutions by an analytical method, namely the extended direct algebraic method. Some obtained solutions are represented by giving suitable parameter values to understand their physical interpretation. The results obtained from this method involve various types of functions, for example, exponential, logarithmic, hyperbolic, and trigonometric. The self-adjointness theory is employed to classify and help us to compute the conserved quantities of the assumed model. A similar work related to this does not exist in the literature.
Název v anglickém jazyce
Analysis of the integro-differential Jaulent-Miodek evolution equation by nonlinear self-adjointness and Lie theory
Popis výsledku anglicky
The current exploration is related to the extraction of the exact explicit solutions of the Integrodifferential Jaulent-Miodek evolution (IDJME) equation. In general, the Jaulent-Miodek equation has many applications in many divisions of physics, for example optics and fluid dynamics. The symmetries of this (2 + 1)-dimensional (IDJME) equation are derived, and it admits the 8th Lie algebra. The similarity transformation method is considered to convert the NLPDE to the nonlinear ODE by using the translational symmetries. Then, we calculated the traveling-wave solutions by an analytical method, namely the extended direct algebraic method. Some obtained solutions are represented by giving suitable parameter values to understand their physical interpretation. The results obtained from this method involve various types of functions, for example, exponential, logarithmic, hyperbolic, and trigonometric. The self-adjointness theory is employed to classify and help us to compute the conserved quantities of the assumed model. A similar work related to this does not exist in the literature.
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
Boundary Value Problems
ISSN
1687-2770
e-ISSN
1687-2770
Svazek periodika
2025
Číslo periodika v rámci svazku
1
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
19
Strana od-do
75
Kód UT WoS článku
001497157600001
EID výsledku v databázi Scopus
2-s2.0-105006888724