The variation equation describing distance dependence of the beam waist of a fundamental Gaussian beam with high intensity propagating in logarithmically saturable nonlinear media has been deduced.

导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。

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This high resolution nonlinear inversion method is of the advantages of the both, having no any dependence on the initial model.

这种高分辨率非线性反演方法兼有二者的优点，对原始模型没有依赖性。

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Chaos is a deterministic nonlinear structure, which is not a stochastic process, but sensitive dependence on initial conditions. Studies in numerous fields have shown the existence of chaos dynamics.

混沌是一种确定性的非线性运动，它不是随机的但对初始条件敏感依赖，许多领域的研究证实了混沌的存在。

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