The Hungry-Volterra Model – The Classical and Quantum Integrable Structures

DOI10.1143/JPSJ.67.87zbMath0947.37043MaRDI QIDQ4491490

Kazuhiro Hikami, Rei Inoue

Publication date: 26 July 2000

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

zbMATH Keywords

integrable systemsLax matrixLotka-Volterra modelBogoyavlensky latticehungry-Volterra model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (6)

The extended Lotka–Volterra lattice and affine Jacobi varieties of spectral curves ⋮ Yang-Baxter algebra and generation of quantum integrable models ⋮ Method of descent for integrable lattices ⋮ Algebraic construction of quantum integrable models including inhomogeneous models ⋮ Quantisations of the Volterra hierarchy ⋮ Algebraic Approach in Unifying Quantum Integrable Models

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