26 citations · 41 across the 5 of their papers we have counts for
4 papers · 1 filter
Discrete Koenigs nets and discrete isothermic surfaces
Alexander I. Bobenko, Yuri B. Suris
We discuss discretization of Koenigs nets (conjugate nets with equal Laplace invariants) and of isothermic surfaces. Our discretization is based on the notion of dual quadrilateral…
On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
Matteo Petrera, Yuri B. Suris
This paper deals with a remarkable integrable discretization of the so(3) Euler top introduced by Hirota and Kimura. Such a discretization leads to an explicit map, whose integrabi…
An integrable discretization of the rational su(2) Gaudin model and related systems
Matteo Petrera, Yuri B. Suris
The first part of the present paper is devoted to a systematic construction of continuous-time finite-dimensional integrable systems arising from the rational su(2) Gaudin model th…
Discrete nonlinear hyperbolic equations. Classification of integrable cases
Vsevolod E. Adler, Alexander I. Bobenko, Yuri B. Suris
We consider discrete nonlinear hyperbolic equations on quad-graphs, in particular on the square lattice. The fields are associated to the vertices and an equation Q(x_1,x_2,x_3,x_4…