投影Riccati方程组一般形式的解

The General Solutions to Projective Riccati Equations

讨论了投影Riccati方程组的解,利用齐次平衡法导出了将方程组转化为二阶常系数线性方程的非线性变换,通过对二阶常系数线性方程求解进而给出了投影Riccati方程组一般形式的解.

This paper discusses the solutions to projective Riccati equations. By the homogeneous balance method we derive the nonlinear transformation which can be converted the projective Riccati equations to the second constant coefficients linear ODE. So the general solutions to projective Riccati equations are obtained by solving the constant coefficients linear ODE.