行星波的五波共振相互作用

北京大学学报（自然科学版）

行星波的五波共振相互作用

黄仪方¹, 谭本馗²

¹中国民用航空飞行学院航行系, 广汉，618307；²北京大学地球物理学系，北京，100871

收稿日期:1994-01-19 出版日期:1995-01-20 发布日期:1995-01-20

The Resonant lnteraction of Five Planetary Waves

HUANG Yifang¹, TAN Benkui²

¹Deptment of Navigation, lnstitute of Civil Aviation Flight, Guanghan, 618307; ²Deptment of Geophysics, Peking University, Beijing, 100871

Received:1994-01-19 Online:1995-01-20 Published:1995-01-20

摘要/Abstract

摘要： 本文将二层模式中的三波共振推广到五波共振，推得了五波共振时其振幅所满足的方程组，该方程组的解可用Jacob；椭圆函数表示。

关键词: 行星波共振, Rossby波, 地球物理流体

Abstract: The theory of resonant interaction of planetary waves in a two layer model is extended from three-wave system to five-wave system. The evolution equations governing the amplitudes of the waves are derived and solved analytically. It is found that the solutions can be given in terms of Jacobi elliptic functions.

Key words: resonant interaction of planetary waves, Rossby wave, geophysical fluid

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