关于具有非局部对称性的发展方程的群分类
On group classification of evolution equations admitting non-local symmetries
摘要：
我们证明了任何承认潜在的对称性的发展方程总是可以减少到另一个发展方程，使潜在的对称性问题映射到其接触对称群。基于这一事实，给出了具有非局部对称性的发展方程的分类方法。我们提出了几个例子的分类二阶发展方程承认潜在的对称性。
英文摘要：
We prove that any evolution equation admitting a potential symmetry can always be reduced to another evolution equation such that the potential symmetry in question maps into the group of its contact symmetries. Based on this fact is out group approach to classification of evolution equations possessing non-local symmetries. We present several examples of classifications of second-order evolution equations admitting potential symmetries.
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