Article
Version 1
Preserved in Portico This version is not peer-reviewed
Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation
Version 1
: Received: 12 August 2019 / Approved: 13 August 2019 / Online: 13 August 2019 (07:23:24 CEST)
Version 2 : Received: 30 August 2019 / Approved: 1 September 2019 / Online: 1 September 2019 (03:03:39 CEST)
Version 3 : Received: 28 November 2021 / Approved: 29 November 2021 / Online: 29 November 2021 (12:00:06 CET)
Version 2 : Received: 30 August 2019 / Approved: 1 September 2019 / Online: 1 September 2019 (03:03:39 CEST)
Version 3 : Received: 28 November 2021 / Approved: 29 November 2021 / Online: 29 November 2021 (12:00:06 CET)
How to cite: Sun, B. Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints 2019, 2019080150 (doi: 10.20944/preprints201908.0150.v1). Sun, B. Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints 2019, 2019080150 (doi: 10.20944/preprints201908.0150.v1).
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
Subject
MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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