一类Fermi气体在非线性扰动机制中轨线的渐近表示

Asymptotic expressions of path curve for a class of Fermi gases in nonlinear disturbed mechanism

研究了一维Fermi气体的非线性扰动模型.首先构造了相应的泛函,其次选取Lagrange乘子,再利用改进的广义变分迭代方法得到了此模型轨线的近似解析解.列举了一个简单的例子,指出利用改进的广义变分方法得到的轨线有较好的近似度.主要研究目的是提供一种求解非线性物理问题的有效方法.

The model of nonlinear disturbed mechanism for one-dimensional Fermi gas is investigated. Firstly, the corre-sponding functional is constructed;secondly, its Lagrange operator is selected;using the modified generalized variational iteration method, the approximate analytic solutions of corresponding path curves are obtained. A simple example is given, and the approximation accuracy obtained by using the modified generalized variational iteration method is shown to be better. The aim of this article is to provide a valid method of solving the nonlinear physical problems.