On the Spatial Asymptotics of Solutions of the Toda Lattice
arXiv:0901.2717 · doi:10.3934/dcds.2010.27.1233
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.
6 pages
References in corpus (4)
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Cited by in corpus (7)
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
- On the evolution of scattering data under perturbations of the Toda lattice
- Long-Time Asymptotics for the Toda Shock Problem: Non-Overlapping Spectra
- Lieb-Robinson Bounds for the Toda Lattice
- On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies
- Discrete integrable systems, Darboux transformations, and Yang-Baxter maps
- On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy