Math. Z. 262, 585-602 (2009) [DOI: 10.1007/s00209-008-0391-9]
Long-Time Asymptotics for the Toda Lattice in the Soliton Region
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice for decaying initial data in the soliton region. In addition, we point out how to reduce the problem in the remaining region to the known case without solitons.