Corrigendum: “Classification of 3D Consistent Quad-Equations”

DOI10.1142/S1402925112920015zbMath1262.37033MaRDI QIDQ4916265

Raphael Boll

Publication date: 22 April 2013

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (21)

Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases ⋮ Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals ⋮ Classification of five-point differential–difference equations II ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions ⋮ Reduction of lattice equations to the Painlevé equations: PIV and PV ⋮ Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube ⋮ From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations ⋮ Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube ⋮ Geometric description of a discrete power function associated with the sixth Painlevé equation ⋮ Reduction of quad-equations consistent around a cuboctahedron I: Additive case ⋮ The non-autonomous YdKN equation and generalized symmetries of Boll equations ⋮ Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax ⋮ Algebraic entropy, symmetries and linearization of quad equations consistent on the cube ⋮ On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations ⋮ Interaction-round-a-face and consistency-around-a-face-centered-cube ⋮ Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables

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