非线性螺旋行星波的非频散解

THE NONDISPERSION SOLUTION OF NONLINEAR SPIRAL PLANETARY WAVE

中文摘要:

      本文将柱坐标中正压无辐散大气的运动方程组作适当简化后,求出了螺旋行星波的非频散椭圆余弦波解,并得到了波速公式及波参数间的一些诊断关系。这些关系绝大多数与观测事实相一致,故在大气中这种非频散的椭圆余弦波可能是真实存在的。或者可作为真实的非线性波动的第一近似。

英文摘要:

      In this article, using simplified hydrodynamic equations of barotropic nondivergent atmosphere in cylindrical coordinates, the nondispersion conical solulion of spiral planetary wave is discovered. The formula of wave speed and the diagnostician formula in relation to wave parameter are nearly conformed to observed facts. It might mean that the nondispersion conical wave realy exists in the atmosphere. At least it might be a close approximation to the actual nonlinear wave.