Article Contents
Article Contents

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

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