Analysis of the integro-differential Jaulent-Miodek evolution equation by nonlinear self-adjointness and Lie theory
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Analysis of the integro-differential Jaulent-Miodek evolution equation by nonlinear self-adjointness and Lie theory
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Boundary Value Problems
ISSN
1687-2770
e-ISSN
1687-2770
Volume of the periodical
2025
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
75
UT code for WoS article
001497157600001
EID of the result in the Scopus database
2-s2.0-105006888724