论文标题
二维浅水方程的不变解决方案,特定类别的底部
Invariant Solutions of the Two-Dimensional Shallow Water Equations with a Particular Class of Bottoms
论文作者
论文摘要
本文研究了具有特定底部的二维浅水方程和Coriolis的力量$ f = f_ {0}+ωy$。本文的主要目的是描述所有不变解决方案,该解决方案是降低的系统是普通微分方程的系统。为了求解普通微分方程的系统,我们使用六阶runge-kutta方法。
The two-dimensional shallow water equations with a particular bottom and the Coriolis's force $f=f_{0}+Ωy$ 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.