Symmetry Reduction of Lane-Emden Equation for Polytropes

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We describe an ansatz for symmetry reduction of the Lane-Emden equation for
an arbitrary polytropic index n, admitting only one symmetry generator. For the
reduced first order differential equation it is found that standard reduction
procedure do not admit any non-trivial Lie point symmetry. However some special
solutions for the differential equation are obtained.

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