时间分数阶Boussinesq方程的李对称分析

摘要

We have applied the Lie group analysis method to the time fractional Boussinesq equation. This equation can be reduced to an equation which is related to the Erdelyi-Kober fractional derivative by Lie method as a result. It is shown that the approach introduced here is effective and easy to implement.%本文利用李群分析方法研究了时间分数阶Boussinesq方程，得到了该方程的李点对称，并把该方程约化为Erdelyi-Kobe分数阶常微分方程。本文的行文过程也说明了李群分析方法对于约化分数阶非线性发展方程是有效的。