J 2025

Invariant modules and noninvariant exact solutions for Infeld-Rowlands equation

VAŠÍČEK, Jakub

Basic information

Original name

Invariant modules and noninvariant exact solutions for Infeld-Rowlands equation

Authors

VAŠÍČEK, Jakub

Edition

European Physical Journal Plus, Heidelberg (Germany), Springer Nature Deutschland GmbH, 2025, 2190-5444

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

Impact factor

Impact factor: 2.900 in 2024

Marked to be transferred to RIV

Yes

Organization unit

Mathematical Institute in Opava

EID Scopus

Keywords in English

Infeld–Rowlands equation; exact solutions; noninvariant solutions; invariant modules; symmetry analysis

Tags

International impact, Reviewed
Changed: 6/3/2026 10:42, Mgr. Aleš Ryšavý

Abstract

In the original language

We study the Infeld–Rowlands equation, a nonlinear partial differential equation in three independent variables describing inter alia soliton perturbations for the Ginzburg–Landau equation. First of all, we find a number of invariant modules for the equation under study. These are further employed in order to produce a new class of exact solutions whose generic representatives are not invariant under any Lie point symmetries of the equation in question. We then proceed to investigate the properties of these solutions.