On the spatial asymptotics of solutions of the Toda lattice

Gerald Teschl

doi:10.3934/dcds.2010.27.1233

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2010, Volume 27, Issue 3: 1233-1239. Doi: 10.3934/dcds.2010.27.1233

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On the spatial asymptotics of solutions of the Toda lattice

Gerald Teschl^1,

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

Received: May 31, 2009

Revised: December 31, 2009

Published: August 2010

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Abstract

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.

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Mathematics Subject Classification: Primary 37K40, 37K15; Secondary 35Q53, 37K10.

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