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arXiv · 0807.0244

Stability of the Periodic Toda Lattice in the Soliton Region

Helge Krueger·Gerald Teschl
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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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Helge Krueger, Gerald Teschl. 2009-06-06. Stability of the Periodic Toda Lattice in the Soliton Region. https://doi.org/10.1093/imrn%2Frnp077

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