Journal of Nonlinear Mathematical Physics

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Volume 9, Issue Supplement 2, September 2002, Pages 24 - 35

Four Dimensional Lie Symmetry Algebras and Fourth Order Ordinary Differential Equations

Authors
T. Cerquetelli, N. Ciccoli, M.C. Nucci
Corresponding Author
T. Cerquetelli
Received 1 April 2002, Available Online 2 September 2002.
DOI
10.2991/jnmp.2002.9.s2.3How to use a DOI?
Abstract

Realizations of four dimensional Lie algebras as vector fields in the plane are explcitly constructed. Fourth order ordinary differential equations which admit such Lie symmetry algebras are derived. The route to their integration is described.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - Supplement 2
Pages
24 - 35
Publication Date
2002/09/02
ISBN
91-631-2869-1
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.s2.3How 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  - T. Cerquetelli
AU  - N. Ciccoli
AU  - M.C. Nucci
PY  - 2002
DA  - 2002/09/02
TI  - Four Dimensional Lie Symmetry Algebras and Fourth Order Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 24
EP  - 35
VL  - 9
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.s2.3
DO  - 10.2991/jnmp.2002.9.s2.3
ID  - Cerquetelli2002
ER  -