Symmetry in Nonlinear Mathematical Physics - 2009
Ben Muatjetjeja (North-West University, Mafikeng, South Africa)
Group classification of the generalized Lane-Emden equation
In this talk we perform the Lie group classification of the generalized Lane-Emden equation
xu''+nu'+xF(u)=0, which has many applications in mathematical physics and astrophysics. We show that the equation admits a
three-dimensional 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.