关于标准对称分析不可解的二维系统的对称解
On the symmetry solutions of two-dimensional systems not solvable by standard symmetry analysis
摘要：
本文给出了一类二维二阶常微分方程系统的识别方法，该方法区分了可线性化、复线性化和可解系统。我们还提出了基本的概念，示意性地提供了一个类似的$\Re^{3}$中的几何线性化标准$\Re^2$。
英文摘要：
A class of two-dimensional systems of second-order ordinary differential equations is identified in which a system requires fewer Lie point symmetries than required to solve it. The procedure distinguishes among those which are linearizable, complex-linearizable and solvable systems. We also present the underlying concept diagrammatically that provides an analogue in $\Re^{3}$ of the geometric linearizability criteria in $\Re^2$.
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