摘要
本文求出了旋转地球流体的f平面浅水波方程组的一个非线性精确解.这是一个处处连续、分片光滑的凹形孤立波,在波谷处为一尖点(奇异点),其移速比长波速度gh^(1/2)略小,为(1+a/h)(gh(1+a/h))^(1/2),其中a<0.其水平尺度与水深几乎无关.
In this paper, we present an exact solution for nonlinear shallow water on a rotating planet. It is a kind of solitary waves with always negative wave height and a celerity smaller than linear shallow water propagation speed . In fact, it propagates with a speed equal to (1+ a/h) where a is the negative wave height. The lowest point of the water surface is a singular point where the first order derivative has a, discontinuity of the first kind. The horizontal scale of the wave has actually no connection with the water depth.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1990年第3期336-342,共7页
Chinese Journal of Geophysics
关键词
地球流体
非线性
奇异点
孤立波
Geophysical fluid, Nonlinear, Singular point, Exact solution, Solitary wave
