From Toda to KdV

DOI10.1088/0951-7715/28/7/2461zbMath1334.37078arXiv1309.5324OpenAlexW2963257074MaRDI QIDQ5892146

Dario Bambusi, Thierry Paul, Thomas Kappeler

Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5324

zbMATH Keywords

KdV equationToda latticesemiclassical limit

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) The dynamics of infinite particle systems (70F45)

Related Items (6)

Continuum limit for the Ablowitz–Ladik system ⋮ Dispersive estimates for periodic discrete one-dimensional Schrödinger operators ⋮ On the spectrum of the Schrödinger operator on 𝕋^d: a normal form approach ⋮ Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori ⋮ Dynamics of periodic Toda chains with a large number of particles ⋮ Korteweg–de Vries and Fermi–Pasta–Ulam–Tsingou: asymptotic integrability of quasi unidirectional waves

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