Journal of Nonlinear Mathematical Physics

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Volume 15, Issue Supplement 2, August 2008, Pages 116 - 132

Geometric Differences between the Burgers and the Camassa-Holm Equations

Authors
Boris Kolev
Corresponding Author
Boris Kolev
Received 22 April 2008, Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.s2.9How to use a DOI?
Abstract

The Burgers equation and the Camassa-Holm equations can both be recast as the Euler equation for a right-invariant metric on the diffeomorphism group of the circle, the L 2-metric for Burgers and the H 1-metric for Camassa-Holm. Their geometric behaviors are however very different. We present a survey of this geometrical approach and discuss these differences.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - Supplement 2
Pages
116 - 132
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s2.9How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Boris Kolev
PY  - 2008
DA  - 2008/08/01
TI  - Geometric Differences between the Burgers and the Camassa-Holm Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 116
EP  - 132
VL  - 15
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s2.9
DO  - 10.2991/jnmp.2008.15.s2.9
ID  - Kolev2008
ER  -