Discrete Hirota reductions associated with the lattice KdV equation

DOI10.1088/1751-8121/aba1b8OpenAlexW3039853966MaRDI QIDQ5870626

Theodoros E. Kouloukas, Andrew N. W. Hone

Publication date: 23 January 2023

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

Full work available at URL: https://arxiv.org/abs/2003.08900

zbMATH Keywords

integrable systemsLiouville integrabilitycluster algebradiscrete Hirota equationlattice KdV

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

An algebraic approach to discrete time integrability ⋮ Integrable physics and its connections with special functions and combinatorics

Cites Work

• Unnamed Item
• Discrete integrable systems and Poisson algebras from cluster maps
• Cluster mutation-periodic quivers and associated Laurent sequences
• The Laurent phenomenon
• Dressing chains and the spectral theory of the Schrödinger operator
• Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems
• Cluster integrable systems, \(q\)-Painlevé equations and their quantization
• Cluster algebras and Weil-Petersson forms
• Dimer models and integrable systems
• On Hirota's difference equations
• On reductions of the Hirota-Miwa equation
• Computing Riemann theta functions in Sage with applications
• Cluster Toda chains and Nekrasov functions
• Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations
• Investigation into the role of the Laurent property in integrability
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations
• Discrete Painlevé equations from Y-systems
• The staircase method: integrals for periodic reductions of integrable lattice equations
• T-systems andY-systems in integrable systems
• Bilinear equations and q-discrete Painlevé equations satisfied by variables and coefficients in cluster algebras
• Some integrable maps and their Hirota bilinear forms
• Dimers and cluster integrable systems
• A family of linearizable recurrences with the Laurent property