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Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice with steplike initial data corresponding to a rarefaction wave.

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Bibliographic Details
Published in:arXiv.org 2018-01
Main Authors: Egorova, Iryna, Michor, Johanna, Teschl, Gerald
Format: Article
Language:English
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Online Access:Get full text
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Description
Summary:We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice with steplike initial data corresponding to a rarefaction wave.
ISSN:2331-8422
DOI:10.48550/arxiv.1701.02867