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Comment on 'Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives'

Willy Sarlet UGent (2010) JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 43(45).
abstract
In a recent paper (R Narain and A H Kara 2010 J. Phys. A: Math. Theor. 43 085205), the authors claim to be applying Noether's theorem to higher-order partial differential equations and state that in a large class of examples 'the resultant conserved flows display some previously unknown interesting 'divergence properties' owing to the presence of the mixed derivatives' (citation from their abstract). It turns out that what this obscure sentence is meant to say is that the vector whose divergence must be zero (according to Noether's theorem), turns out to have non-zero divergence and subsequently must be modified to obtain a true conservation law. Clearly this cannot be right: we explain in detail the main source of the error.
Please use this url to cite or link to this publication:
author
organization
year
type
misc (editorialMaterial)
publication status
published
subject
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
J. Phys. A-Math. Theor.
volume
43
issue
45
article number
458001
pages
6 pages
Web of Science type
Editorial Material
Web of Science id
000283792700028
JCR category
PHYSICS, MULTIDISCIPLINARY
JCR impact factor
1.641 (2010)
JCR rank
23/79 (2010)
JCR quartile
2 (2010)
ISSN
1751-8113
DOI
10.1088/1751-8113/43/45/458001
language
English
UGent publication?
yes
classification
V
copyright statement
I have transferred the copyright for this publication to the publisher
id
1088364
handle
http://hdl.handle.net/1854/LU-1088364
date created
2010-12-16 13:00:11
date last changed
2016-12-21 15:42:58
@misc{1088364,
  abstract     = {In a recent paper (R Narain and A H Kara 2010 J. Phys. A: Math. Theor. 43 085205), the authors claim to be applying Noether's theorem to higher-order partial differential equations and state that in a large class of examples 'the resultant conserved flows display some previously unknown interesting 'divergence properties' owing to the presence of the mixed derivatives' (citation from their abstract). It turns out that what this obscure sentence is meant to say is that the vector whose divergence must be zero (according to Noether's theorem), turns out to have non-zero divergence and subsequently must be modified to obtain a true conservation law. Clearly this cannot be right: we explain in detail the main source of the error.},
  articleno    = {458001},
  author       = {Sarlet, Willy},
  issn         = {1751-8113},
  language     = {eng},
  number       = {45},
  pages        = {6},
  series       = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
  title        = {Comment on 'Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives'},
  url          = {http://dx.doi.org/10.1088/1751-8113/43/45/458001},
  volume       = {43},
  year         = {2010},
}

Chicago
Sarlet, Willy. 2010. “Comment on ‘Conservation Laws of Higher Order Nonlinear PDEs and the Variational Conservation Laws in the Class with Mixed Derivatives’.” Journal of Physics A-mathematical and Theoretical.
APA
Sarlet, Willy. (2010). Comment on “Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL.
Vancouver
1.
Sarlet W. Comment on “Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives.”JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2010.
MLA
Sarlet, Willy. “Comment on ‘Conservation Laws of Higher Order Nonlinear PDEs and the Variational Conservation Laws in the Class with Mixed Derivatives’.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 2010 : n. pag. Print.