Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 13 - 31

Some Symmetry Classifications of Hyperbolic Vector Evolution Equations

Authors
Stephen C. Anco, Thomas Wolf
Corresponding Author
Stephen C. Anco
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.2How to use a DOI?
Abstract

Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations Utx = f(U, Ut, Ux) for an N-component vector U(t, x) are considered. In each class we find all scalinhomogeneous equations admitting a higher symmetry of least possible scaling weight. Sigma model interpretations of these equations are presented.

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
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
13 - 31
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.2How 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  - Stephen C. Anco
AU  - Thomas Wolf
PY  - 2005
DA  - 2005/01/01
TI  - Some Symmetry Classifications of Hyperbolic Vector Evolution Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 13
EP  - 31
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.2
DO  - 10.2991/jnmp.2005.12.s1.2
ID  - Anco2005
ER  -