Vacuum curves and classical integrable systems in \(2+1\) discrete dimensions

DOI10.1007/BF02365209zbMath0982.37075OpenAlexW2086208142MaRDI QIDQ1303364

Igor G. Korepanov

Publication date: 29 September 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68786

zbMATH Keywords

cubic latticevacuum curves

Mathematics Subject Classification ID

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

Cites Work

• Hidden symmetries in a 6-vertex model of statistical physics
• Rational mappings, arborescent iterations, and the symmetries of integrability
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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