Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000167" target="_blank" >RIV/47813059:19610/24:A0000167 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0167278924000320" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167278924000320</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physd.2024.134081" target="_blank" >10.1016/j.physd.2024.134081</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system

Popis výsledku v původním jazyce

We carry out extended symmetry analysis of the (1+2)-dimensional Boiti-Leon-Pempinelli system, which corrects, enhances and generalizes many results existing in the literature. The point-symmetry pseudogroup of this system is computed using an original megaideal-based version of the algebraic method. A number of meticulously selected differential constraints allow us to construct families of exact solutions of this system, which are significantly larger than all known ones. After classifying one- and two-dimensional subalgebras of the entire (infinite-dimensional) maximal Lie invariance algebra of this system, we study only its essential Lie reductions, which give solutions beyond the above solution families. Among reductions of the Boiti-Leon- Pempinelli system using differential constraints or Lie symmetries, we identify a number of famous partial and ordinary differential equations. We also show how all the constructed solution families can significantly be extended by Laplace and Darboux transformations.

Název v anglickém jazyce

Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system

Popis výsledku anglicky

We carry out extended symmetry analysis of the (1+2)-dimensional Boiti-Leon-Pempinelli system, which corrects, enhances and generalizes many results existing in the literature. The point-symmetry pseudogroup of this system is computed using an original megaideal-based version of the algebraic method. A number of meticulously selected differential constraints allow us to construct families of exact solutions of this system, which are significantly larger than all known ones. After classifying one- and two-dimensional subalgebras of the entire (infinite-dimensional) maximal Lie invariance algebra of this system, we study only its essential Lie reductions, which give solutions beyond the above solution families. Among reductions of the Boiti-Leon- Pempinelli system using differential constraints or Lie symmetries, we identify a number of famous partial and ordinary differential equations. We also show how all the constructed solution families can significantly be extended by Laplace and Darboux transformations.

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

Physica D: Nonlinear Phenomena

ISSN

0167-2789

e-ISSN

1872-8022

Svazek periodika

460

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

„134081-1“-„134081-21“

Kód UT WoS článku

001202952600001

EID výsledku v databázi Scopus

2-s2.0-85185562047