Group Classification of Two-Dimensional Green-Naghdi Equations in the Case of Time-Independent Bottom Topography
S. V. Meleshko1, P. Sirivat2
1Institute of Science at Suranaree University of Technology Nakhon Ratchasima, 30000, Thailand
2Mae Fah Luang University, Chiang Rai, 57100 Thailand
Keywords: group classification, equivalence group, admissible Lee group, Green-Naghdi equations
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.
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