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)
How to cite:
Sun, B. Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints2019, 2019080150. https://doi.org/10.20944/preprints201908.0150.v2
Sun, B. Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints 2019, 2019080150. https://doi.org/10.20944/preprints201908.0150.v2
Sun, B. Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints2019, 2019080150. https://doi.org/10.20944/preprints201908.0150.v2
APA Style
Sun, B. (2019). Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation. Preprints. https://doi.org/10.20944/preprints201908.0150.v2
Chicago/Turabian Style
Sun, B. 2019 "Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers' Equation" Preprints. https://doi.org/10.20944/preprints201908.0150.v2
Abstract
In light of Liu et al.'s original works, this research article revisits the solution of Burgers's nonlinear equation. The researcher found two exact and explicit solutions for groups $G_4$ and $G_6$, as well as a general solution. Their applications were conducted by using numerical calculations.
Keywords
Lie group; Burgers equation; exact solution; general solution; elementary function
Subject
Computer Science and Mathematics, 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.
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author