Burgers方程不变群的生成元和对称约化

摘要

以Burgers方程为对象,研究了方程的不变群的生成元、对称约化问题.利用李群对称求出方程的解,并给出方程的生成元求法,及对称解,最后通过数值模拟验证了其有效性.%Based on symmetrical idea,the paper studies the same group of generators and the symmetrical problem of the Burgers equation,we solve and obtain the same group of generators and the symmetric solution of the Burgers equation by constructing an auxiliary equation and the original equation form equations.Consequenlly,we verify the method validity by numerical simulation.