Lie group classification and conservation laws of a (2+1)-dimensional nonlinear damped Klein–Gordon Fock equation

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Lie group classification and conservation laws of a (2+1)-dimensional nonlinear damped Klein–Gordon Fock equation

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Lie group classification and conservation laws of a (2+1)-dimensional nonlinear damped Klein–Gordon Fock equation

Popis výsledku anglicky

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

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Partial Differential Equations in Applied Mathematics

ISSN

2666-8181

e-ISSN

2666-8181

Svazek periodika

12

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

19

Strana od-do

—

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85207149433