行星波的五波共振相互作用

The Resonant Interaction of Five Planetary Waves

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。

In this paper the theory of resonant interaction of planetary waves in a two-layer model is extended from three-wave system to five-wave system。The evo-lution equations governing the amplitudes of the waves are derived and solved ana-lytically. It is found that the solutions can be given in terms of Jacobi elliptic func-tions.