Rev. Math. Phys. 21:1, 61-109 (2009) [DOI: 10.1142/S0129055X0900358X]
Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited
The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent.