Journal of Nonlinear Mathematical Physics

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Volume 16, Issue 4, December 2009, Pages 411 - 420

Transformation of Auto-Bäcklund Type For Hyperbolic Generalization of Burgers Equation

Authors
Ekaterina V. Kutafina
Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland,kutafina@agh.edu.pl
Received 28 October 2008, Accepted 31 March 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925109000443How to use a DOI?
Keywords
Hyperbolic Burgers equation; auto-Bäcklund transformation; exact solutions
Abstract

We consider the hyperbolic generalization of Burgers equation with polynomial source term. The transformation of auto-Bäcklund type was found. Application of the results is shown in the examples, where kink and bi-kink solutions are obtained from the pair of two stationary ones.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 4
Pages
411 - 420
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925109000443How to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Ekaterina V. Kutafina
PY  - 2021
DA  - 2021/01/07
TI  - Transformation of Auto-Bäcklund Type For Hyperbolic Generalization of Burgers Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 411
EP  - 420
VL  - 16
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000443
DO  - 10.1142/S1402925109000443
ID  - Kutafina2021
ER  -