Spectrum and generation of solutions of the Toda lattice

DOI10.1155/2009/237487zbMath1178.37090OpenAlexW2088280875WikidataQ58647427 ScholiaQ58647427MaRDI QIDQ1040107

J. Blot

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/237487

zbMATH Keywords

spectrumToda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Matrix Toda and Volterra lattices

Cites Work

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• Asymptotic behavior of solutions of general three term recurrence relations
• The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data
• Three integrable Hamiltonian systems connected with isospectral deformations
• Perturbation theory for linear operators.
• Padé approximants and complex high order Toda lattices
• Darboux transformation and perturbation of linear functionals
• Complex high order Toda and Volterra lattices1
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions
• On the Toda Lattice. II: Inverse-Scattering Solution
• Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
• A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients
• Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions
• Integrals of nonlinear equations of evolution and solitary waves

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