Nonlinear ordinary differential equations: A discussion on symmetries and singularities-Reference-Cited by-同舟云学术

Nonlinear ordinary differential equations: A discussion on symmetries and singularities

Published:2016-07-25 Issue:07 Volume:13 Page:1630009
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Paliathanasis Andronikos¹^ORCID,Leach P. G. L.²³⁴

Affiliation:

1. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile

2. Department of Mathematics and Institute of Systems Science, Research and Postgraduate Support, Durban University of Technology, PO Box 1334, Durban 4000, Republic of South Africa

3. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, Republic of South Africa

4. Department of Mathematics and Statistics, University of Cyprus, Lefkosia 1678, Cyprus

Abstract

Two essential methods, the symmetry analysis and the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations is the purpose of this work. The main similarities and the differences of these two different methods are discussed.

Funder

Comisión Nacional de Investigación Cientifica y Tecnológica

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887816300099

Reference65 articles.

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