拟Lie格式与Emden-Fowler方程
Quasi-Lie schemes and Emden--Fowler equations
摘要：
本文研究了最近发展起来的拟李格式理论，并应用于研究几类Emden型方程，给出了处理它们的一种格式和它们的一些推广。作为第一个结果，我们得到的t-依赖常数的运动Emden方程的某些特定的解决方案，通过特定的实例。从这个新的角度恢复了以前已知的结果。最后，恢复了满足一定条件的Emden型方程的一些t相关运动常数。
英文摘要：
The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from this new perspective. Finally some t-dependent constants of the motion for equations of Emden type satisfying certain conditions are recovered.
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