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Long-time asymptotics for the Toda lattice in the soliton region

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Rice University, Houston, TX, 77005, USA

    Helge Krüger

  2. Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Wien, Austria

    Gerald Teschl

  3. International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090, Wien, Austria

    Gerald Teschl

Authors
  1. Helge Krüger
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  2. Gerald Teschl
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Correspondence to Gerald Teschl.

Additional information

Research supported by the Austrian Science Fund (FWF) under Grant No. Y330.

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Krüger, H., Teschl, G. Long-time asymptotics for the Toda lattice in the soliton region. Math. Z. 262, 585–602 (2009). https://doi.org/10.1007/s00209-008-0391-9

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  • DOI: https://doi.org/10.1007/s00209-008-0391-9

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