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Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Lie symmetries of two-dimensional shallow water equations with variable bottom topography
Alexander Bihlo1, Nataliia Poltavets1, Roman O Popovych2
1Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland and Labrador A1C 5S7, Canada.
Abstract:
We carry out the group classification of the class of two-dimensional shallow water equations with variable bottom topography using an optimized version of the method of furcate splitting. The equivalence group of this class is found by the algebraic method. Using algebraic techniques, we construct additional point equivalences between some of the listed cases of Lie-symmetry extensions, which are inequivalent up to transformations from the equivalence group.
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