Journal of Nonlinear Mathematical Physics

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Volume 3, Issue 3-4, September 1996, Pages 453 - 457

Application of Differential Forms to Construction of Nonlocal Symmetries

Authors
S.I. Agafonov
Corresponding Author
S.I. Agafonov
Available Online 2 September 1996.
DOI
10.2991/jnmp.1996.3.3-4.31How to use a DOI?
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
© 2006, 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
3 - 3-4
Pages
453 - 457
Publication Date
1996/09/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.3-4.31How to use a DOI?
Copyright
© 2006, 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

risenwbib
TY  - JOUR
AU  - S.I. Agafonov
PY  - 1996
DA  - 1996/09/02
TI  - Application of Differential Forms to Construction of Nonlocal Symmetries
JO  - Journal of Nonlinear Mathematical Physics
SP  - 453
EP  - 457
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.31
DO  - 10.2991/jnmp.1996.3.3-4.31
ID  - Agafonov1996
ER  -