Submitted:
28 November 2021
Posted:
29 November 2021
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Abstract
In light of Liu \emph{at el.}'s original works, this paper revisits the solution of Burgers's nonlinear equation $u_t=a(u_x)^2+bu_{xx} $. The study found two exact and explicit solutions for groups $G_4$ and $G_6$, as well as a general solution. A numerical simulation is carried out. In the appendix a Maple code is provided
Keywords:
Lie group
; Burgers equation
; exact solution
; general solution
; elementary function
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