广义Burgers方程的非经典相似约化

Nonclassical Symmetry Reductions of the Generalized Burgers Equation

讨论了具任意系数的广义Burgers方程的相似约化,这种约化是基于Bluman和Cole所提出的非经典对称群方法。给出了这些约化所对应的常微分方程相应的一些新的精确特解,从而进一步拓展了利用非经典对称群研究变系数非线性偏微分方程的研究领域。

The nonclassical symmetry method due to Bluman and Cole is developed to study similarity reductions of the generalized Burgers equation. Some new special exact solutions corresponding to the ordinary differential equations are then given by the methods. The results given here extend the nonclassical symmetry method further of finding the similarity reductions of nonlinear PDEs with arbitrary functions.