ON THE SPATIAL ASYMPTOTICS OF SOLUTIONS OF THE TODA LATTICE

被引：7
|
作者：
Teschl, Gerald [1 ,2 ]
机构：
[1] Fac Math, A-1090 Vienna, Austria
[2] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 03期
基金：
奥地利科学基金会;
关键词：
Toda lattice; spatial asymptotics; Toda hierarchy; Kac-van Moerbeke hierarchy; INVERSE SCATTERING TRANSFORM;
D O I：
10.3934/dcds.2010.27.1233
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1233 / 1239
页数：7
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