Math. Z. 262, 585-602 (2009) [DOI: 10.1007/s00209-008-0391-9]

Long-Time Asymptotics for the Toda Lattice in the Soliton Region

Helge Krüger and Gerald Teschl

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.

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

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