地-气耦合动力系统的研究

STUDY FOR EARTH ATMOSPHERE COUPLED DYNAMICAL SYSTEM

中文关键词:  非线性，地-气耦合，动力系统

英文关键词:Nonlinear, Earth-atmosphere coupling, Dynamical system.

中文摘要:

      研究了一类地-气耦合系统的非线性模型，目的是创建一个地-气振子模型的非线性方程的渐近求解方法，利用变分迭代方法，构造了对应问题解的近似展开式。即首先引入一组泛函和计算出它们的变分，并算出Lagrange乘子，其次，决定变分迭代，最后得到原地-气振子模型非线性问题解的一致收敛的近似展开式。

英文摘要:

      A class of nonlinear coupling system for earth-atmosphere oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the earth-atmosphere oscillator model. Using the variatio n al iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functionals and culculating their variationals, the Lagrange multiplicators are computed, and then the variational iteriation is defined, finally, the uniformly convergent approx imate expressions of the solution for the original nonlinear problem for the earth-atmosphere oscillator model are obtained.