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title:
 
Application of Differential Forms to Construction of Nonlocal Symmetries
publication:
 
JNMP
volume-issue:   3 - 3-4
pages:   453 - 457
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.1996.3.3-4.31 (how to use a DOI)
author(s):
 
S.I. AGAFONOV
publication date:
 
September 1996
abstract:
 
Differential forms are used for construction of nonlocal symmetries of partial differential equations with conservation laws. Every conservation law allows to introduce a nonlocal variable corresponding to a conserved quantity. A prolongation technique is suggested for action of symmetry operators on these nonlocal variables. It is shown how to introduce these variables for the symmetry group to remain the same. A new hidden symmetry and corresponding group-invariant solution are found for gas dynamic equations.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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