Families of integrable equations
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Publication:431385
DOI10.3842/SIGMA.2011.100zbMath1242.82010arXiv1106.0636MaRDI QIDQ431385
Pavlos Kassotakis, Maciej Nieszporski
Publication date: 26 June 2012
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.0636
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) General theory of difference equations (39A05)
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Nonlinear Schrödinger type tetrahedron maps ⋮ Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Integrable two-component systems of difference equations ⋮ Re-factorising a QRT map ⋮ Tetrahedron maps and symmetries of three dimensional integrable discrete equations ⋮ On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ Difference systems in bond and face variables and non-potential versions of discrete integrable systems ⋮ Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems ⋮ 2n-rational maps
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