Original Articles

THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION

Published in: Quaestiones Mathematicae
Volume 8 , issue 3 , 1985 , pages: 241–274

DOI: 10.1080/16073606.1985.9631915

Author(s): F.M. Mahomed DEPARTMENT OF APPLIED MATHEMATICS, SOUTH AFRICA , P. , G.L. Leach DEPARTMENT OF APPLIED MATHEMATICS, SOUTH AFRICA

Keywords: 34834 , 22370

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Abstract

The Lie point symmetries of the non-linear differential equation [qdot] + 3qq + q³ = 0 which arises in the study of the modified Emden equation are shown to have an unexpectedly rich algebra associated with them, a feature which enables the above non-linear differential equation to be transformed into the simplest linear second order ordinary differential equation.

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