Lie reductions and exact solutions of dispersionless Nizhnik equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000169" target="_blank" >RIV/47813059:19610/24:A0000169 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s13324-024-00925-y" target="_blank" >https://link.springer.com/article/10.1007/s13324-024-00925-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13324-024-00925-y" target="_blank" >10.1007/s13324-024-00925-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Lie reductions and exact solutions of dispersionless Nizhnik equation

Popis výsledku v původním jazyce

We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential equations. Lie and point symmetries of reduced equations are comprehensively studied, including the analysis of which of them correspond to hidden symmetries of the original equation. If necessary, associated Lie reductions of a nonlinear Lax representation of the dispersionless Nizhnik equation are carried out as well. As a result, we construct wide families of new invariant solutions of this equation in explicit form in terms of elementary, Lambert and hypergeometric functions as well as in parametric or implicit form. We show that Lie reductions to algebraic equations lead to no new solutions of this equation in addition to the constructed ones. Multiplicative separation of variables is used for illustrative construction of non-invariant solutions.

Název v anglickém jazyce

Lie reductions and exact solutions of dispersionless Nizhnik equation

Popis výsledku anglicky

We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential equations. Lie and point symmetries of reduced equations are comprehensively studied, including the analysis of which of them correspond to hidden symmetries of the original equation. If necessary, associated Lie reductions of a nonlinear Lax representation of the dispersionless Nizhnik equation are carried out as well. As a result, we construct wide families of new invariant solutions of this equation in explicit form in terms of elementary, Lambert and hypergeometric functions as well as in parametric or implicit form. We show that Lie reductions to algebraic equations lead to no new solutions of this equation in addition to the constructed ones. Multiplicative separation of variables is used for illustrative construction of non-invariant solutions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Analysis and Mathematical Physics

ISSN

1664-2368

e-ISSN

1664-235X

Svazek periodika

14

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

56

Strana od-do

„82-1“-„82-56“

Kód UT WoS článku

001262985900001

EID výsledku v databázi Scopus

2-s2.0-85197552487