On the spatial asymptotics of solutions of the Toda lattice

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August 2010, 27(3): 1233-1239. doi: 10.3934/dcds.2010.27.1233

On the spatial asymptotics of solutions of the Toda lattice

1.	Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien

Received June 2009 Revised January 2010 Published March 2010

Abstract
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We investigate the spatial asymptotics of decaying solutions of the Toda hierarchy and show that the asymptotic behaviour is preserved by the time evolution. In particular, we show that the leading asymptotic term is time independent. Moreover, we establish infinite propagation speed for the Toda lattice.

Keywords: Toda hierarchy, Toda lattice, spatial asymptotics, Kac-van Moerbeke hierarchy..

Mathematics Subject Classification: Primary 37K40, 37K15; Secondary 35Q53, 37K1.

Citation: Gerald Teschl. On the spatial asymptotics of solutions of the Toda lattice. Discrete & Continuous Dynamical Systems - A, 2010, 27 (3) : 1233-1239. doi: 10.3934/dcds.2010.27.1233

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