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中文摘要：
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。
英文摘要：
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.
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