Helge Krueger and Gerald Teschl
Stability of the Periodic Toda Lattice in the Soliton Region
(80K, LaTeX2e)

ABSTRACT.  We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the 
periodic (and slightly more generally of the quasi-periodic finite-gap) Toda lattice for decaying 
initial data in the soliton region. In addition, we show how to reduce the problem in the remaining 
region to the known case without solitons.