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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 6, Pages 62–64 (Mi vmumm4581)

Mechanics

Equivalence of systems of two-dimensional shallow water equations over horizontal and sloping bottoms

A. V. Aksenov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A point transformation determining the equivalence of systems of equations of two-dimensional shallow water over horizontal and sloping bottoms is obtained. The symmetries of these systems of equations are found.

Key words: two-dimensional shallow water, equivalence of systems of equations, point transformation, symmetry operator, linearization.

UDC: 517.9+532.5

Received: 26.05.2023

DOI: 10.55959/MSU0579-9368-1-64-6-9


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:6, 156–158

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© Steklov Math. Inst. of RAS, 2024