几类可积的非线性常微分方程(Ⅱ)——高阶方程

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Several Classes of Integrable Nonlinear Ordinary Differential Equations (Ⅱ)——Higher-Order Equations

摘要: 本文给出几类可积的高阶非线性常微分方程,指出一些已知的可积性结果或可积方程都是它们的特例.这些方程在物理学和力学中有着广泛的应用背景.

Abstract: In this paper, several classes of integrable nonlinear higher-order ordinary differential equations are given. It is pointed out that some known results of integrability or integrable equations are all special cases of them. These equations have a wide-ranging applied background in physics and mechanics.

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