论文标题
一类双曲方程的谎言小组分类和保护法
Lie group classification and conservation laws of a class of hyperbolic equations
论文作者
论文摘要
提出了一种针对微分方程的谎言组分类的新方法。它基于确定所有不确定的线性依赖的情况，这些情况出现在方程式的对称方程中。该方法简单而系统，并应用于双曲线方程家族。此外，由于所述家族包含具有重要物理应用的几个已知方程式，因此计算了来自家族的某些相关方程的低阶保护定律，并讨论了从基础外观方程式基础家族的特定类别的对称性集成性讨论的结果。
A new method for the Lie group classification of differential equations is proposed. It is based of the determination of all possible cases of linear dependence of certain indeterminate appearing in the determining equations of symmetries of the equation. The method is simple and systematic and applied to a family of hyperbolic equations. Moreover, as the said family contains several known equations with important physical applications, low-order conservation laws of some relevant equations from the family are computed, and the results obtained are discussed with regard to the symmetry integrability of a particular class from the underlying family of hyperbolic equations.
