Year: 2014
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 4 : pp. 301–311
Abstract
In this article, we discuss the generalised coupled Lane-Emden system $u^{′′}+H(v)=0$, $v^{′′}+G(u)=0$ that applies to several physical phenomena. The Lie group classification of the underlying system shows that it admits a ten-dimensional equivalence Lie algebra. We also show that the principal Lie algebra in one dimension has several possible extensions, and obtain an exact solution for an interesting particular case via Noether integrals.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.080214.230814a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 4 : pp. 301–311
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Lie group classification generalised Lane-Emden system principal Lie algebra equivalence transformations Lie point symmetries Noether integrals.
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