赤道波动非线性相互作用解的研究

The Studies on the Solutions of the Nonlinear Interactions Between Equatorial Waves

利用多重尺度摄动法,对低纬大气中Kelvin波和Rossby波的波包的演变进行了分析,得到两波的非线性相互作用方程为耦合的非线性复系数Landau方程组,并研究了该方程组的解的存在性.这不仅具有理论意义,而且具有重要的实用价值.

In this paper, the nonlinear Kelvin and Rossby waves of the atmosphere in low latitudes are studied. It is found by use of the WKB method that the interaction between two wave packets is governed by coupled nonlinear Landau equations with complex coefficients, and the existence of the solutions is proved. This not only has the theory significance, moreover has the important practical value.