Submitted:
12 August 2019
Posted:
13 August 2019
Read the latest preprint version here
Abstract
In light of Liu's original works, this paper revisits the solution of general Burgers's nonlinear equation. We obtain two exact and explicit solutions for group $G_4$ and $G_6$, and a most general solution as well. As applications, a numerical example is carried out.
Keywords:
Lie group
; Burgers equation
; exact solution
; general solution
; elementary function
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