Analysis of Discrete Symmetry of Several Types of Differential Equations
Based on Hydon's method of calculating discrete symmetry of differential equa-tions,the whole process of calculating discrete symmetry is given.It is found that a lot of complicated steps can be simplified by automorphic mapping of Lie algebra.Using this method,discrete symmetries for several types of ordinary differential equations,partial dif-ferential equations,and fractional differential equations are constructed.
Lie algebradiscrete symmetryautomorphismone-parameter transformation group
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