Hungry Volterra Equation, Multi Boson KP Hierarchy and Two Matrix Models

DOI10.1143/JPSJ.68.2221zbMath0955.37046arXivhep-th/9807001MaRDI QIDQ4491420

Masato Hisakado

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9807001

zbMATH Keywords

Toda latticefractional Bäcklund transformationshungry Volterra equationhungry Volterra hierarchymulti boson KP hierarchy

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Finite-band solutions for the hierarchy of coupled Toda lattices ⋮ The Kostant-Toda equation and the hungry integrable systems

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