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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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