08-133 Helge Krueger and Gerald Teschl
Stability of the Periodic Toda Lattice in the Soliton Region (80K, LaTeX2e) Jul 1, 08
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Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the periodic (and slightly more generally of the quasi-periodic finite-gap) Toda lattice for decaying initial data in the soliton region. In addition, we show how to reduce the problem in the remaining region to the known case without solitons.

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