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

S. V. Meleshko

doi:10.1134/s0021894422060086

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arXiv · 2112.05790

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

S. V. Meleshko

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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.

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S. V. Meleshko. 2021-12-09. Group classification of the two-dimensional Green-Naghdi equations with a time dependent bottom topography. https://doi.org/10.1134/s0021894422060086

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