
Symmetry in Nonlinear Mathematical Physics  2009
Ben Muatjetjeja (NorthWest University, Mafikeng, South Africa)
Group classification of the generalized LaneEmden equation
Abstract:
In this talk we perform the Lie group classification of the generalized LaneEmden equation
xu''+nu'+xF(u)=0, which has many applications in mathematical physics and astrophysics. We show that the equation admits a
threedimensional equivalence Lie algebra. It is also shown that the principal Lie algebra, which in this case is trivial, has seven
possible extensions. Three new cases arise for which the Lie point symmetry algebra is nontrivial.

