7 citations · 15 across the 3 of their papers we have counts for
5 papers · 1 filter
On a discrete analog of the Tzitzeica equation
V. E. Adler
A discrete analog of the Tzitzeica equation is found in the form of quad-equation. Its continuous symmetry is an inhomogeneous Narita--Bogoyavlensky type lattice equation which def…
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…
On the One Class of Hyperbolic Systems
Vsevolod E. Adler, Alexey B. Shabat
The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Backlund auto-t…
On a class of third order mappings with two rational invariants
V. E. Adler
A novel family of integrable third order maps is presented. Each map possesses, by construction, a pair of rational invariants and a commuting map from the same class. The 3-dimens…
On the relation between multifield and multidimensional integrable equations
V. E. Adler
The new examples are found of the constraints which link the 1+2-dimensional and multifield integrable equations and lattices. The vector and matrix generalizations of the Nonlinea…