A New Exact Solution of Burgers’ Equation with Linearized Solution
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kuo, Chun-Ku& Lee, Sen-Yung. 2015. A New Exact Solution of Burgers’ Equation with Linearized Solution. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073786
Modern Language Association (MLA)
Kuo, Chun-Ku& Lee, Sen-Yung. A New Exact Solution of Burgers’ Equation with Linearized Solution. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1073786
American Medical Association (AMA)
Kuo, Chun-Ku& Lee, Sen-Yung. A New Exact Solution of Burgers’ Equation with Linearized Solution. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073786
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073786