Bäcklund transformations for integrable lattice equations
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Publication:3498967
DOI10.1088/1751-8113/41/13/135202zbMath1148.82006arXiv0801.1998OpenAlexW3098340564MaRDI QIDQ3498967
Publication date: 19 May 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.1998
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)
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On non-multiaffine consistent-around-the-cube lattice equations ⋮ Rational solutions to Q3 δ in the Adler-Bobenko-Suris list and degenerations ⋮ A revisit to the ABS H2 equation ⋮ Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation ⋮ Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations ⋮ Rational solutions to the ABS list: transformation approach ⋮ Bäcklund transformations for the Boussinesq equation and merging solitons ⋮ Hierarchies of q-discrete Painlevé equations ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ On one-soliton solutions of the Q2 equation in the ABS List ⋮ From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations ⋮ On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations ⋮ On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations ⋮ Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations ⋮ Multi-component extension of CAC systems
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