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On the Spatial Asymptotics of Solutions of the Toda Lattice

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.

preprint2010arXivOpen access
Gerald Teschl
math-phmath.MPnlin.SI
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Gerald Teschl

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