Invariant modules and noninvariant exact solutions for Infeld–Rowlands equation

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.