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28 April 2024

» arxiv » 2001.3109

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Invariant Solutions of the Two-Dimensional Shallow Water Equations with a Particular Class of Bottoms
S.V. Meleshko ; N.F. Samatova ;
Date:	7 Jan 2020
Abstract:	The two-dimensional shallow water equations with a particular bottom and the Coriolis’s force $f=f_{0}+Omega y$ are studied in this paper. The main goal of the paper is to describe all invariant solutions for which the reduced system is a system of ordinary differential equations. For solving the systems of ordinary differential equations we use the sixth-order Runge-Kutta method.
Source:	arXiv, 2001.3109
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