一类特殊底的二维浅水方程的不变解

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19 Pub Date : 2019-10-24 DOI:10.1063/1.5130801

S. Meleshko, N. Samatova

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引用次数: 4

摘要

本文研究了具有特定底的二维浅水方程和科里奥利力$f=f_{0}+\Omega y$。本文的主要目的是描述约简系统为常微分方程组的所有不变解。我们用六阶龙格-库塔法求解常微分方程组。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Invariant solutions of the two-dimensional shallow water equations with a particular class of bottoms

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.

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APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19

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