Group classification of the two-dimensional Green-Naghdi equations with a time dependent bottom topography

Abstract

The two-dimensional Green-Naghdi equations with uneven bottom topography are studied in this paper. The function defining the bottom topography can be dependent on time. Group classification of these equations with respect to the function describing the topography of the bottom is performed in the paper. The algebraic approach used for the analysis of the classifying equations.

13 pages, 3 tables

References in corpus (2)

• Hamiltonian formulation of the extended Green-Naghdi equations
• Hamiltonian structure for two-dimensional extended Green-Naghdi equations