A new exact solution of Burgers' equation with linearized solution
type: Item
instance of: scholarly article
title: A new exact solution of Burgers' equation with linearized solution
zbMATH Open document ID: 1394.35421
DOI: 10.1155/2015/414808
author: Chun-Ku Kuo
author: Sen Yung Lee
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper considers a general Burgers' equation with the nonlinear term coefficient being an arbitrary constant. Two identical solutions of the general Burgers' equation are separately derived by a direct integration method and the simplest equation method with the Bernoulli equation being the simplest equation. The proposed exact solutions overcome the long existing problem of discontinuity and can be successfully reduced to linearity, while the nonlinear term coefficient approaches zero. In addition, a general Cole-Hopf transform is introduced. Finally, the proposed derived solution is compared with the perturbation solution and other existing exact solutions. A new phenomenon, which we named ``kink sliding,'' is observed.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 6926302
Wikidata QID: Q59118518
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/414808
OpenAlex ID: W1727145193
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description: scientific article; zbMATH DE number 6926302