Charged free fermions, vertex operators and the classical theory of conjugate nets

DOI10.1088/0305-4470/32/7/010zbMath1041.81058arXivsolv-int/9803015OpenAlexW2008770182WikidataQ104434215 ScholiaQ104434215MaRDI QIDQ4258366

Adam Doliwa, Manuel Mañas, Elena Medina, Paolo Maria Santíni, Luis Martínez-Alonso

Publication date: 2 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9803015

zbMATH Keywords

integrable systemsMiura transformationquadrilateral lattices\(\tau\)-function theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (12)

Geometric discretization of the Koenigs nets ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system ⋮ Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies ⋮ Generating quadrilateral and circular lattices in KP theory ⋮ Transformations of quadrilateral lattices ⋮ The Darboux-type transformations of integrable lattices. ⋮ Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry ⋮ Nets, lattices and multicomponent KP hierarchies ⋮ The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice ⋮ On KP generators and the geometry of the HBDE ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

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