Abstract:A system of two nonlinear differential equations with slowly varying coefficients is treated. The asymptotics in the small parameter for the solutions that have a narrow transition layer is studied. Such a layer occurs near the moment where the number of roots of the corresponding algebraic system of equations changes. To construct the asymptotics, the matching method involving three scales is used.

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中文翻译：

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鞍节点动力分岔下Landau-Lifshitz方程组的解渐近

摘要:研究了具有缓变系数的两个非线性微分方程组。研究了具有窄过渡层的解的小参数的渐近性。这样的层出现在相应代数方程组的根数发生变化的时刻附近。为了构造渐近线，使用了涉及三个尺度的匹配方法。

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