Found 36 Documents (Results 1–36)
Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations. (English) Zbl 1507.39001
Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property. (English) Zbl 1497.37092
On the three-dimensional consistency of Hirota’s discrete Korteweg-de Vries equation. (English) Zbl 1483.39009
Features of discrete integrability. (English) Zbl 1479.39022
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 21-35 (2021).
Reviewer: Pieter Roffelsen (Melbourne)
Logarithmic difference lemma in several complex variables and partial difference equations. (English) Zbl 1436.39009
Reviewer: Eszter Gselmann (Debrecen)
Algebraic entropy computations for lattice equations: why initial value problems do matter. (English) Zbl 1509.39013
Linear degree growth in lattice equations. (English) Zbl 1478.37078
Reviewer: Giorgio Gubbiotti (Milano)
Algebraic entropy of a class of five-point differential-difference equations. (English) Zbl 1423.34021
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations. (English) Zbl 1417.37263
Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation. (English) Zbl 1387.37062
Reviewer: Eszter Gselmann (Debrecen)
Symmetries, conservation laws, and Noether’s theorem for differential-difference equations. (English) Zbl 1386.37064
Reviewer: Ti-Jun Xiao (Fudan)
Symmetry reduction of ordinary finite difference equations using moving frames. (English) Zbl 1366.39001
On the limits of discrete Painlevé equations associated with the affine Weyl group \(E_{8}\). (English) Zbl 1362.39017
Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube. (English. Russian original) Zbl 1359.37132
Theor. Math. Phys. 189, No. 1, 1459-1471 (2016); translation from Teor. Mat. Fiz. 189, No. 1, 69-83 (2016).
Reviewer: Eszter Gselmann (Debrecen)
Singularity confinement and full-deautonomisation: a discrete integrability criterion. (English) Zbl 1364.39001
Symmetries, conservation laws, and ‘integrability’ of difference equations. (English) Zbl 1417.39012
Continuous symmetries of certain nonlinear partial difference equations and their reductions. (English) Zbl 1343.39024
Lie group analysis of a generalized Krichever-Novikov differential-difference equation. (English) Zbl 1366.39015
Linearisable ultradiscrete systems with sign variables and the confinement of singularities. (English) Zbl 1283.39004
Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion? (English) Zbl 1274.37009
Aspects of \(q\)-discretized Nahm equations. (English) Zbl 1179.39012
MSC:
39A13
Polynomial integrals for third- and fourth-order ordinary difference equations. (English) Zbl 1163.39010
Direct method to construct integrals for \(N\)th-order autonomous ordinary difference equations. (English) Zbl 1141.37025
Umbral calculus, difference equations and the discrete Schrödinger equation. (English) Zbl 1064.39020
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