On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system
From MaRDI portal
Publication:2230136
DOI10.1016/j.nuclphysb.2019.114878zbMath1479.37079arXiv1908.00565OpenAlexW2990398416WikidataQ126668564 ScholiaQ126668564MaRDI QIDQ2230136
Publication date: 17 September 2021
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00565
Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (8)
Nonlinear Schrödinger type tetrahedron maps ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation ⋮ Birational solutions to the set-theoretical 4-simplex equation ⋮ Integrable two-component systems of difference equations ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ A discrete Darboux-Lax scheme for integrable difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Symbolic computation of Lax pairs of partial difference equations using consistency around the cube
- Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras
- Integrable noncommutative sine-Gordon model
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Yang-Baxter maps and integrable dynamics
- Towards noncommutative integrable systems
- Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation
- Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings
- An integrable noncommutative version of the sine-Gordon system
- On non-multiaffine consistent-around-the-cube lattice equations
- Integrable boundary for quad-graph systems: three-dimensional boundary consistency
- Bäcklund-Darboux transformations and discretizations of super KdV equation
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Discrete Systems and Integrability
- Supersymmetric KdV equation: Darboux transformation and discrete systems
- Grassmann extensions of Yang–Baxter maps
- Anticommutative extension of the Adler map
- Seed and soliton solutions for Adler's lattice equation
- Yang-Baxter maps and symmetries of integrable equations on quad-graphs
- A Supersymmetric AKNS Problem and Its Darboux‐Bäcklund Transformations and Discrete Systems
- The lattice Gel'fand-Dikii hierarchy
- Non-abelian integrable systems of the derivative nonlinear Schrödinger type
- A noncommutative discrete potential KdV lift
- Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
- Poisson Yang-Baxter maps with binomial Lax matrices
- Discrete KP Equation and Momentum Mapping of Toda System
- Yang–Baxter maps and multi-field integrable lattice equations
- An algebraic scheme associated with the non-commutative KP hierarchy and some of its extensions
- THE BOUSSINESQ INTEGRABLE SYSTEM: COMPATIBLE LATTICE AND CONTINUUM STRUCTURES
This page was built for publication: On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system
