S. V. Meleshko, P. Siriwat, “Group classification of two-dimensional Green–Naghdi equations in the case of time-independent bottom topography”, Prikl. Mekh. Tekh. Fiz., 2022, Volume 63, Issue 6,Pages <nobr>68

This article is cited in 2 papers

Group classification of two-dimensional Green–Naghdi equations in the case of time-independent bottom topography

S. V. Meleshko^a, P. Siriwat^b

^a Institute of Science, Suranaree University of Technology, 30000, Nakhon Ratchasima, Thailand
^b School of Science, Mae Fah Luang University, 57100, Chiang Rai, Thailand

Abstract: The two-dimensional Green–Naghdi equations are investigated in the case of an uneven bottom topography. The function which determines the topography of the bottom and may depend on time is considered. A group classification of the equations under study with respect to the function describing the bottom topography is carried out using an algebraic approach.

Keywords: group classification, equivalence group, admissible Lee group, Green–Naghdi equations.

UDC: 517.9

Received: 14.03.2022
Revised: 21.04.2022
Accepted: 25.04.2022

DOI: 10.15372/PMTF20220608