The Toda lattice with step-like initial data. Soliton asymptotics

DOI10.1088/0266-5611/16/4/306zbMath0958.35132OpenAlexW2061312590MaRDI QIDQ4507841

Iryna Egorova, Anne Boutet de Monvel-Berthier

Publication date: 2 April 2001

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/16/4/306

zbMATH Keywords

asymptotic formulastep-like initial datainfinite series of solitonsToda latticc Cauchy problem

Mathematics Subject Classification ID

Related Items (10)

Scattering theory for Jacobi operators with quasi-periodic background ⋮ Rarefaction waves for the Toda equation via nonlinear steepest descent ⋮ Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data ⋮ Long-time asymptotics for Toda shock waves in the modulation region ⋮ An application of the inverse scattering problem for the discrete Dirac operator ⋮ Wave phenomena of the Toda lattice with steplike initial data ⋮ Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds ⋮ Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials ⋮ Inverse scattering transform for the Toda hierarchy with quasi-periodic background ⋮ On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments

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