论文标题
一些与最大对称性相关的变分原理。第1部分：以规范形式的方程式
Some variational principles associated with ODEs of maximal symmetry. Part 1: Equations in canonical form
论文作者
论文摘要
在本文中研究了变异和差异对称性的最大形式的最大对称性方程，并以显式形式给出相关的第一积分。所获得的所有主要结果均作为一般顺序方程的定理或猜想。其中一些结果适用于通用形式和任意顺序的线性方程或具有任意维度的对称代数的线性方程。
Variational and divergence symmetries are studied in this paper for linear equations of maximal symmetry in canonical form, and the associated first integrals are given in explicit form. All the main results obtained are formulated as theorems or conjectures for equations of a general order. Some of these results apply to linear equations of a general form and of arbitrary orders or having a symmetry algebra of arbitrary dimension.
