引力波和孤子

J. S. Russell
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摘要

19世纪中叶,一位苏格兰工程师约翰·斯科特·罗素在他的后院建造了一个30英尺的波浪池。在通道的一端放一个重物,产生一个速度为c =√g(h + a)的孤立重力波,其中h为通道中未受扰动的水的高度,a为波的振幅,g为重力加速度。他观察到一个复合波分裂成两个,大的一个跑在小的前面。游乐园的波浪池的运作原理与此类似,在池的一端使用柱塞,在一端的水面上吹气,或者在一端倾倒大量的水。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Gravity Waves and Solitons
A Scottish engineer in the mid nineteenth century John Scott Russell built a 30′ wave tank in his backyard. Dropping a weight at one end of the channel produced a solitary gravity wave with speed c = √ g(h + a) where h is the height of undisturbed water in the channel, a is the wave amplitude, and g is the acceleration of gravity. He observed a compound wave which split into two with the larger one racing ahead of the smaller. Wave pools in amusement parks operate on a similar principle, using a plunger at one end of pool, blowing air on surface at one end, or dumping a large volume of water at one end.
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