Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic Background
arXiv:nlin/0512003 · doi:10.1090/S0002-9939-06-08668-0
Abstract
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy in the case of a quasi-periodic finite-gap background solution.
11 pages
References in corpus (2)
Cited by in corpus (14)
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- Stability of the periodic Toda lattice under short range perturbations
- Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited
- Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
- Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds
- Stability of the Periodic Toda Lattice in the Soliton Region
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
- On the Spatial Asymptotics of Solutions of the Toda Lattice
- Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background
- Scattering Theory for Jacobi Operators with Steplike Quasi-Periodic Background
- Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data
- Stability of the Periodic Toda Lattice: Higher Order Asymptotics