91 citations · 976 across the 71 of their papers we have counts for
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Billiards in confocal quadrics as a pluri-Lagrangian system
Yuri B. Suris
We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
On a discretization of confocal quadrics. I. An integrable systems approach
Alexander I. Bobenko, Wolfgang K. Schief, Yuri B. Suris +1
Confocal quadrics lie at the heart of the system of confocal coordinates (also called elliptic coordinates, after Jacobi). We suggest a discretization which respects two crucial pr…
On the Lagrangian structure of integrable hierarchies
Yuri B. Suris, Mats Vermeeren
We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integ…
On the classification of multidimensionally consistent 3D maps
Matteo Petrera, Yuri B. Suris
We classify multidimensionally consistent maps given by (formal or convergent) series of the following kind: $$ T_k x_{ij}=x_{ij} + \sum_{m=2}^\infty A_{ij ; \, k}^{(m)}(x_{ij},x_{…
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…