Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system

Abstract

In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the [Formula: see text]-dimensional dispersive long wave equation. We also demonstrate that the symmetry algebra of this equation is an infinte dimensional, together with Kac–Moody–Virasoro type subalgebras.