@Article{EAJAM-4-301,
author = {},
title = {Lie Group Classification for a Generalised Coupled Lane-Emden System in Dimension One},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {4},
number = {4},
pages = {301--311},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.080214.230814a},
url = {http://global-sci.org/intro/article_detail/eajam/10838.html}
}