Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Abstract

We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as $n\to \pm \infty$.

arXiv comment10 pages

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Cited by in corpus (5)

• Shock problem for MKdV equation: Long time Dynamics of the Step-like initial data
• On the Spatial Asymptotics of Solutions of the Toda Lattice
• Wave phenomena of the Toda lattice with steplike initial data
• Long-Time Asymptotics for the Toda Shock Problem: Non-Overlapping Spectra
• The parametrix problem for Toda equation with steplike initial data