几类微分方程的离散对称分析
Analysis of Discrete Symmetry of Several Types of Differential Equations
王鸿彬 1白通拉嘎1
作者信息
- 1. 内蒙古工业大学理学院,内蒙古 呼和浩特 010051
- 折叠
摘要
基于Hydon提出的计算微分方程离散对称的方法,给出了计算离散对称的整个过程,发现通过李代数的自同构映射可以简化大量繁琐的步骤,运用该方法构造了几类常微分方程、偏微分方程和分数阶微分方程的离散对称.
Abstract
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.
关键词
李代数/离散对称/自同构/单参数变换群Key words
Lie algebra/discrete symmetry/automorphism/one-parameter transformation group引用本文复制引用
出版年
2024
NETL
NSTL
万方数据