28 citations · 59 across the 5 of their papers we have counts for
11 papers
Two-dimensional variational systems on the root lattice
Raphael Boll
We study certain two-dimensional variational systems, namely pluri-Lagrangian systems on the root lattice . Here, we follow the scheme which was already used to define tw…
On the variational interpretation of the discrete KP equation
Raphael Boll, Matteo Petrera, Yuri B. Suris
We study the variational structure of the discrete Kadomtsev-Petviashvili (dKP) equation by means of its pluri-Lagrangian formulation. We consider the dKP equation and its variatio…
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems
Raphael Boll, Matteo Petrera, Yuri B. Suris
We establish the pluri-Lagrangian structure for families of Bäcklund transformations of relativistic Toda-type systems. The key idea is a novel embedding of these discrete-time (on…
On integrability of discrete variational systems. Octahedron relations
Raphael Boll, Matteo Petrera, Yuri B. Suris
We elucidate consistency of the so-called corner equations which are elementary building blocks of Euler-Lagrange equations for two-dimensional pluri-Lagrangian problems. We show t…
What is integrability of discrete variational systems?
Raphael Boll, Matteo Petrera, Yuri B. Suris
We propose a notion of a pluri-Lagrangian problem, which should be understood as an analog of multi-dimensional consistency for variational systems. This is a development along the…
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Toda-type systems
Raphael Boll, Matteo Petrera, Yuri B. Suris
General Lagrangian theory of discrete one-dimensional integrable systems is illustrated by a detailed study of Bäcklund transformations for Toda-type systems. Commutativity of Bäck…