Invariant Solutions of the Two-Dimensional Shallow Water Equations with a Particular Class of Bottoms
arXiv:2001.03109 · doi:10.1063/1.5130801
Abstract
The two-dimensional shallow water equations with a particular bottom and the Coriolis's force 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.
7 pages, 9 figures, Submitted to AIP Conference Proceedings 2164, 050003 (2019)