Rev. Math. Phys. 21:1, 61-109 (2009) [DOI: 10.1142/S0129055X0900358X]

Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

Helge Krüger and Gerald Teschl

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.

MSC2000: Primary 37K40, 37K45; Secondary 35Q15, 37K10
Keywords: Riemann-Hilbert problem, Toda lattice, solitons

TeX file [TodaRHP1.eps, TodaRHP2.eps, TodaRHP3.eps, TodaRHP4.eps] (118K) or pdf file (558K)