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. Keywords Riemann–Hilbert problem - Toda lattice - Solitons Mathematics Subject Classification (2000) Primary 37K40 - 37K45 - Secondary 35Q15 - 37K10 Research supported by the Austrian Science Fund (FWF) under Grant No. Y330.
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