发展方程的拟局部对称性的分类
Towards classification of quasi-local symmetries of evolution equations
摘要：
我们发展了有效的群论方法来分类问题的发展方程，承认非局部变换群（准局部对称），即，涉及因变量积分的群。我们分类实现二维和三维李代数导致承认准局部对称方程。最后，我们推广的方法问题的情况下，任意系统的发展方程有两个独立的变量。
英文摘要：
We develop efficient group-theoretical approach to the problem of classification of evolution equations that admit non-local transformation groups (quasi-local symmetries), i.e., groups involving integrals of the dependent variable. We classify realizations of two- and three-dimensional Lie algebras leading to equations admitting quasi-local symmetries. Finally, we generalize the approach in question for the case of an arbitrary system of evolution equations with two independent variables.
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