Point Symmetries of Generalized Toda Field Theories II Applications of   the Symmetries
  The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generalized Toda lattices on one hand, to periodic systems on the other. Boundary conditions are introduced to reduce theories on an infinite lattice to those on semi-infinite, or finite ones. 
L. Martina, S. Lafortune and P. Winternitz