An emerging field of discrete differential geometry aims at the development of discrete
equivalents of notions and methods of classical differential geometry. The latter appears as …

A new package for computing the symmetries of systems of differential equations using
Mathematica is presented. Armed with adaptive equation solving capability and pattern …

We show that well-chosen Lagrangians for a class of two-dimensional integrable lattice
equations obey a closure relation when embedded in a higher dimensional lattice. On the …

A connection between the Yang-Baxter relation for maps and the multidimensional
consistency property of integrable equations on quad-graphs is investigated. The approach …

We consider the discrete Boussinesq integrable system and the compatible set of differential
difference, and partial differential equations. The latter not only encode the complete …

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to
describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding …

We consider the partial difference equations of the Adler-Bobenko-Suris classification, which
are characterized as multidimensionally consistent. The latter property leads naturally to the …

3D consistency of negative flows | Theoretical and Mathematical Physics Skip to main content
Springer Nature Link Account Menu Find a journal Publish with us Track your research Search …

Based on the direct linearization framework of the discrete Kadomtsev–Petviashvili-type
equations presented in the work of Fu & Nijhoff (Fu W, Nijhoff FW. 2017 Direct linearizing …

Multidimensional consistency has emerged as a key integrability property for partial
difference equations (PΔEs) defined on the 'space–time'lattice. It has led, among other major …