Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Symmetries and Integrability of Difference Equations

The Guest Editors for this special issue are

Véronique Hussin (Université de Montréal, Canada)
Mourad Ismail (University of Central Florida, USA)
Decio Levi (Università degli Studi Roma Tre, Italy)
Zora Thomova (SUNY Polytechnic Institute, USA)
Pavel Winternitz (Université de Montréal, Canada)

This issue is related to SIDE12 conference which was held at Le Chantecler, in SteAdèle, Québec, Canada (the Laurentian area near Montréal), from July 4, 2016 to July 9, 2016.

The issue contains 13 papers with the total of 276 pages.

We wish to thank also all the conference participants, all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

The Guest Editors        

Papers in this Issue:

Special Solutions of Bi-Riccati Delay-Differential Equations
Bjorn K. Berntson
SIGMA 14 (2018), 020,   9 pages   [ abs   pdf ]
Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions
Giorgio Gubbiotti, Christian Scimiterna and Ravil I. Yamilov
SIGMA 14 (2018), 008, 51 pages   [ abs   pdf ]
Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
Giorgio Gubbiotti and Christian Scimiterna
SIGMA 14 (2018), 004, 21 pages   [ abs   pdf ]
Rational Solutions to the ABS List: Transformation Approach
Danda Zhang and Da-Jun Zhang
SIGMA 13 (2017), 078, 24 pages   [ abs   pdf ]
Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Éric-Olivier Bossé and Luc Vinet
SIGMA 13 (2017), 074, 19 pages   [ abs   pdf ]
Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings
Ismagil Habibullin and Mariya Poptsova
SIGMA 13 (2017), 073, 26 pages   [ abs   pdf ]
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Feng and Yasuhiro Ohta
SIGMA 13 (2017), 071, 16 pages   [ abs   pdf ]
Rational Solutions of the Painlevé-II Equation Revisited
Peter D. Miller and Yue Sheng
SIGMA 13 (2017), 065, 29 pages   [ abs   pdf ]
Relativistic DNLS and Kaup-Newell Hierarchy
Oktay K. Pashaev and Jyh-Hao Lee
SIGMA 13 (2017), 058, 13 pages   [ abs   pdf ]
On Reductions of the Hirota-Miwa Equation
Andrew N.W. Hone, Theodoros E. Kouloukas and Chloe Ward
SIGMA 13 (2017), 057, 17 pages   [ abs   pdf ]
Symmetries of the Hirota Difference Equation
Andrei K. Pogrebkov
SIGMA 13 (2017), 053, 14 pages   [ abs   pdf ]
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Allan P. Fordy and Pavlos Xenitidis
SIGMA 13 (2017), 051, 10 pages   [ abs   pdf ]
Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Hayato Chiba
SIGMA 13 (2017), 025, 27 pages   [ abs   pdf ]

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