关于Korteweg-de Vries方程的起源
On the origin of the Korteweg-de Vries equation
摘要：
Korteweg-de Vries方程在浅水波模型中占有中心地位，它是弱色散和弱非线性波传播的一个例子。它的历史跨越了大约60年的时间，从1834年斯科特·罗素的实验开始，接着是1871年瑞利勋爵和布西内斯克的理论研究，最后是1895年科特韦格和德·弗里斯的理论研究。在这篇文章中，我们比较工作的Boussinesq和Korteweg-de Vries，强调本质上的差异和一些有趣的联系。虽然有一些文章，审查的起源和出生的Korteweg-de Vries方程，连接和差异，不普遍知道，报告。
英文摘要：
The Korteweg-de Vries equation has a central place in a model for waves on shallow water and it is an example of the propagation of weakly dispersive and weakly nonlinear waves. Its history spans a period of about sixty years, starting with experiments of Scott Russell in 1834, followed by theoretical investigations of, among others, Lord Rayleigh and Boussinesq in 1871 and, finally, Korteweg and De Vries in 1895. In this essay we compare the work of Boussinesq and Korteweg-de Vries, stressing essential differences and some interesting connections. Although there exist a number of articles, reviewing the origin and birth of the Korteweg-de Vries equations, connections and differences, not generally known, are reported.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
