Lie group classification and conservation laws of a (2+1)-dimensional nonlinear damped Klein–Gordon Fock equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256394" target="_blank" >RIV/61989100:27740/24:10256394 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2666818124003486" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2666818124003486</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2024.100962" target="_blank" >10.1016/j.padiff.2024.100962</a>
Alternative languages
Result language
angličtina
Original language name
Lie group classification and conservation laws of a (2+1)-dimensional nonlinear damped Klein–Gordon Fock equation
Original language description
In this article, the (2+1)-dimensional nonlinear damped Klein-Gordon Fock equation is studied using the classical Lie symmetry method. A complete Lie group classification is conducted to derive the specific forms of the arbitrary smooth functions included in the equation, resulting in two distinct cases. Using the similarity transformation method, the reductions of the considered equation in the form of ordinary differential equations are obtained. Several invariant solutions including the traveling wave solutions and soliton solutions of the (2+1)-dimensional nonlinear damped Klein-Gordon Fock equation are uncovered. Also, the results are represented through 2D and 3D graphs with their physical interpretations. Notably, using the partial Lagrangian method, the conservation laws are derived, which also yield two separate cases with several subcases. These results offer better insights into the solution properties of nonlinear damped Klein-Gordon Fock equation and other complex nonlinear wave equations. (C) 2024 The Authors
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Volume of the periodical
12
Issue of the periodical within the volume
December
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
19
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85207149433