Group Classification of a Generalized Lane‐Emden System

Ben Muatjetjeja, Chaudry Masood Khalique and Fazal Mahmood Mahomed

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We perform the group classification of the generalized Lane‐Emden system xu′′ + nu′ + xH(v) = 0, xv′′ + nv′ + xg(u) = 0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n.

Date: 2013
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https://doi.org/10.1155/2013/305032

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:305032

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