一类可积的非线性常微分方程

A CLASS OF INTEGRABLE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

研究某类非线性方程的可解性问题,给出了一类可积的一阶非线性常微分方程的可积性证明。这类方程可应用于物理学、力学和推导孤立子方程及寻求孤立子解。

The study of nonlinear ordinary differential equations is one of very important task for mathematical researcher. In this paper we investigate the solvability of some class nonlinear ordinary differential equations, we give one proof of integrability on a class of integrable equations of first-order nonlinear ordinary differential equations. They may be applied in physics,mechanics and deriving soliton equations and finding soliton solutions.