On the Spatial Asymptotics of Solutions of the Toda Lattice

Details On the Spatial Asymptotics of Solutions of the Toda Lattice On the Spatial Asymptotics of Solutions of the Toda Lattice

2009-01-18

arxiv.org/abs/0901.2717v2

Discrete Contin. Dyn. Syst. 27:3, 1233-1239 (2010)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages

Scientific paper

10.3934/dcds.2010.27.1233

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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