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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 nonlinear perturbation model of one-dimensional Fermi gas is studied. The corresponding functional is first constructed, followed by the Lagrange multiplier, and then the approximate analytic solution of the model trajectory is obtained by using the modified generalized variational iteration method. , And points out that the trajectories obtained by the improved generalized variational method have better approximations.The main research purpose is to provide an effective method for solving nonlinear physics problems.