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LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

HELGE KRÜGER

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

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and

GERALD TESCHL

Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria

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

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https://doi.org/10.1142/S0129055X0900358XCited by:41 (Source: Crossref)

Abstract

The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent.

Keywords:

AMSC: 37K40, 37K45, 35Q15, 37K10

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