Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 3, August 2004, Pages 399 - 421

Sundman Symmetries of Nonlinear Second-Order and Third-Order Ordinary Differential Equations

Authors
Norbert Euler, Marianna Euler
Corresponding Author
Norbert Euler
Available Online 1 August 2004.
DOI
10.2991/jnmp.2004.11.3.9How to use a DOI?
Abstract

We investigate the Sundman symmetries of second-order and third-order nonlinear odinary differential equations. These symmetries, which are in general nonlocal tranformations, arise from generalised Sundman transformations of autonomous equations. We show that these transformations and symmetries can be calculated systematically and can be used to find first integrals of the 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
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 3
Pages
399 - 421
Publication Date
2004/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.3.9How 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  - Norbert Euler
AU  - Marianna Euler
PY  - 2004
DA  - 2004/08/01
TI  - Sundman Symmetries of Nonlinear Second-Order and Third-Order Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 399
EP  - 421
VL  - 11
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.3.9
DO  - 10.2991/jnmp.2004.11.3.9
ID  - Euler2004
ER  -