Stability of the Periodic Toda Lattice in the Soliton Region

DOI10.1093/imrn/rnp077zbMath1185.37168arXiv0807.0244OpenAlexW3103563900WikidataQ57343865 ScholiaQ57343865MaRDI QIDQ3643305

Helge Krüger, Gerald Teschl

Publication date: 11 November 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0244

zbMATH Keywords

long-time asymptoticsdecaying initial datadoubly infinite Toda latticeperiodicity and quasi periodicity solution region

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Time series analysis of dynamical systems (37M10) Numerical nonlinear stabilities in dynamical systems (65P40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions ⋮ Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data ⋮ Long-time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the presence of a discrete spectrum ⋮ Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds ⋮ Long-time asymptotics for the Toda lattice in the soliton region ⋮ 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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