Integrable Properties of a Variant of the Discrete Hungry Toda Equations and Their Relationship to Eigenpairs of Band Matrices

DOI10.4208/eajam.300716.300517azbMath1384.37073OpenAlexW2799175919MaRDI QIDQ4603420

Koichi Kondo, Masashi Iwasaki, Yusuke Nishiyama, Masato Shinjo

Publication date: 20 February 2018

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.300716.300517a

zbMATH Keywords

asymptotic behaviorToda equationLax pairdeterminant solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)

Related Items (2)

Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes ⋮ The Kostant-Toda equation and the hungry integrable systems

Cites Work

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• A Bäcklund transformation between two integrable discrete hungry systems
• Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
• Integrable discrete hungry systems and their related matrix eigenvalues
• On the brauer group of a designularization of a normal surface¹
• Discrete-time Volterra chain and classical orthogonal polynomials
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization

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