非线性常微分方程的亚纯解
Meromorphic solutions of nonlinear ordinary differential equations
摘要：
本文分析了一些常见的非线性常微分方程的精确解，并考虑了它们的罗朗级数。利用罗朗级数解非线性常微分方程，我们讨论了许多方法的性质，寻找精确解。我们表明，大多数这些方法是概念上相同的，他们允许我们只有相同的解决方案的非线性常微分方程。
英文摘要：
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for finding exact solutions. We show that most of these methods are conceptually identical to one another and they allow us to have only the same solutions of nonlinear ordinary differential equations.
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