【摘要】 本文研究了由Burger方程所控制的大气超长波的垂直传播和超长波间的非线性共振相互作用。通过讨论看出:超长波的垂直结构受基本气流、大气层结构等因素的影响。只有在某些特定条件下,超长波才能够上传。同时,超长波的垂直波数在超长波非线性动力学中起有重要作用。超长波波动间共振相互作用时其能量随时间按椭圆函数演变,具有几周至几月的振荡周期。而且在某些特殊条件下,其中的一个波得到充分发展,而其余的二波逐渐消弱,最后完全消失。更多还原

【Abstract】 The Burger’s eqation is used to study the vertical propagation of ultra-long waves and the resonant interactions of nonlinear ultra-long waves. It is shown that the vertical structures of ultra-long waves are affected by factors such as the basic current, the stability, etc. Under some suitable conditions ultra-long waves can propagate vertically from the troposphere to the stratosphere. It is also shown that the vertical wavenumbers play an important role in tne nonlinear dynamics of ultra-long waves. Wnen three nonlinear ultra-long waves interact resonantly, the change of their energies satisfies the elliptic functions, therefore, it is periodic. The periods which are closely related to the initial amplituds of the waves may range from several weeks to several months. Especially, when certain conditions are met, the wave with median vertical wavenumber develops fully, and the other two become weaker and weaker and finally they will disappear thoroughly.更多还原