具對流與擴散項之非線性Burgers 方程，已有熟知之Cole-Hopf 變換解法，而本文採用相似法直接
本文再以適當的起始條件求出Cole-Hopf 變換解，並與本文相似解加以連結，使吾人對Burgers 方
程之數學結構與物理意義有更進一步之認識和了解。 The prototype equation for nonlinear convection-diffusion processes is Burgers' equation. An analytical
solution of Burgers' equation was discovered independently by Cole and Hopf.
In this paper, a similarity study of Burgers' equation is exhibited. A systematic approach for obtaining
the stretching group and traveling wave similarity solutions are constructed and applied to gas-dynamic
Some exact solutions are also obtained from Cole-Hopftransformation and they are related to the similarity
solutions of stretching group and traveling wave.