Journal of Nonlinear Mathematical Physics

Volume 18, Issue Supplement 1, September 2011, Pages 213 - 236

Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations

Authors
Sibusiso Moyo
Research Management and Development and Institute for Systems Science, Durban University of Technology, Durban, South Africa,moyos@dut.ac.za
Sergey V. Meleshko*
School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand,sergey@math.sut.ac.th
*Corresponding author.
Corresponding Author
Sergey V. Meleshko
Received 28 September 2010, Accepted 10 November 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925111001386How to use a DOI?
Keywords
Linearization problem; generalized Sundman transformation; system of nonlinear second-order ordinary differential equations
Abstract

In the literature, the generalized Sundman transformation has been used for obtaining necessary and sufficient conditions for a single second- and third-order ordinary differential equation to be equivalent to a linear equation in the Laguerre form. As far as we are aware, the generalized Sundman transformation has not been applied to a system of equations. The motivation of this work is then to expand the application of the generalized Sundman transformation to a system of ordinary differential equations, in particular, to a system of two second-order ordinary differential equations.

Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - Supplement 1
Pages
213 - 236
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001386How to use a DOI?
Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Sibusiso Moyo
AU  - Sergey V. Meleshko
PY  - 2021
DA  - 2021/01/07
TI  - Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 213
EP  - 236
VL  - 18
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001386
DO  - 10.1142/S1402925111001386
ID  - Moyo2021
ER  -