YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY

DOI10.1017/S0017089508004825zbMath1163.39008OpenAlexW2172102904MaRDI QIDQ3612612

Saburo Kakei, Ralph Willox, Jonathan J. C. Nimmo

Publication date: 10 March 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089508004825

zbMATH Keywords

ultradiscretizationdiscrete KP hierarchyYang-Baxter mapsintegrable lattice systemKadomtsev-Petriashvili (KP)Sato-Wilson-type shift operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (11)

On the singularity structure of a discrete modified-Korteweg–deVries equation ⋮ Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ Lusztig factorization dynamics of the full Kostant-Toda lattices ⋮ Interactions of Soliton Waves for a Generalized Discrete KdV Equation ⋮ Quantum groups, Yang-Baxter maps and quasi-determinants ⋮ Tropical limit of matrix solitons and entwining Yang-Baxter maps ⋮ ZN graded discrete Lax pairs and Yang–Baxter maps ⋮ Discrete KP equation with self-consistent sources ⋮ The pentagon relation and incidence geometry ⋮ Darboux dressing and undressing for the ultradiscrete KdV equation ⋮ Toda lattice hierarchy and soliton equations on square lattice

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