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Nonlinear ordinary differential equations : a discussion on symmetries and singularities

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Paliathanasis_IJGMMP_Vol13#7_Pg1-21_2016.pdf (152.57 KB)

Date

2016-05-16

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Publisher

World Scientific Publishing

Abstract

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

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Keywords

Lie symmetries, Singularity analysis, Integrability

Citation

Paliathanasis, A. and Leach, P.G.L. 2016. Nonlinear ordinary differential equations : a discussion on symmetries and singularities. International Journal of Geometric Methods in Modern Physics. 13(7): 1-21.

URI

http://hdl.handle.net/10321/2946

DOI

https://doi.org/10.51415/10321/2946

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Research Publications (Applied Sciences)