Journal of Nonlinear Mathematical Physics

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Volume 19, Issue 3, September 2012, Pages 411 - 427

On the Nonlocal Symmetries of the μ-Camassa–Holm Equation

Authors
Ognyan Christov
Faculty of Mathematics and Informatics, Sofia University, 5 J. Bourchier blvd., 1164 Sofia, Bulgaria,christov@fmi.uni-sofia.bg
Received 1 March 2012, Accepted 16 July 2012, Available Online 20 September 2012.
DOI
10.1142/S1402925112500258How to use a DOI?
Keywords
μCH equation; pseudo-potential; nonlocal symmetry
Abstract

The μ-Camassa–Holm (μCH) equation is a nonlinear integrable partial differential equation closely related to the Camassa–Holm and the Hunter–Saxton equations. This equation admits quadratic pseudo-potentials which allow us to compute some first-order nonlocal symmetries. The found symmetries preserve the mean of solutions. Finally, we discuss also the associated μCH equation.

Copyright
© 2012 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
19 - 3
Pages
411 - 427
Publication Date
2012/09/20
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925112500258How to use a DOI?
Copyright
© 2012 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

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TY  - JOUR
AU  - Ognyan Christov
PY  - 2012
DA  - 2012/09/20
TI  - On the Nonlocal Symmetries of the μ-Camassa–Holm Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 411
EP  - 427
VL  - 19
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925112500258
DO  - 10.1142/S1402925112500258
ID  - Christov2012
ER  -