Work

Invariant modules and noninvariant exact solutions for Infeld–Rowlands equation

Year: 2025

Type: article

Abstract: 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.

Source: The European Physical Journal Plus

DOI: 10.1140/epjp/s13360-025-07068-4

Author: J. Vašíček

Institution: Silesian University in Opava

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,890

Funder: Slezská Univerzita v Opavě