An extension of the Hirota bilinear difference equation

DOI10.1007/BF02557335zbMath0981.37024OpenAlexW1992077730MaRDI QIDQ1567802

Satoru Saito

Publication date: 19 July 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557335

zbMATH Keywords

solitonHirota bilinear difference equationlinear Bäcklund transformations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Quantum integrable models and discrete classical Hirota equations
• Functional tetrahedron equation
• On Hirota's difference equations
• Theta functions on Riemann surfaces
• Geometric discretisation of the Toda system.
• Gauge and dual symmetries and linearization of Hirota’s bilinear equations
• Complex analysis of a piece of Toda lattice
• A symmetric generalization of linear Bäcklund transformation associated with the Hirota bilinear difference equation