Add to ORKGWe study 2D discrete integrable equations of order 1 with respect to one independent variable and m with respect to another one. A gen-eralization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the Bäcklund– Darboux transformations for the lattice equations of Bogoyavlensky type
This thesis deals with discrete integrable systems theory and modified Hamiltonian equations in the ...
We classify all integrable three-dimensional scalar discrete affine linear equations Q3 = 0 on an el...
We present an integrability test for discrete equations on the square lattice, which is based on the...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which ...
We consider overdetermined systems of difference equations for a single function u which are consist...
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equation...
We develop a new approach to the classification of integrable equations of the form uxy = f(u, ux, u...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
Integrability conditions for difference equations admitting a second order formal recursion operator...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
Multidimensional Consistency becomes more and more important in the theory of discrete integrable sy...
This thesis deals with discrete integrable systems theory and modified Hamiltonian equations in the ...
We classify all integrable three-dimensional scalar discrete affine linear equations Q3 = 0 on an el...
We present an integrability test for discrete equations on the square lattice, which is based on the...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which ...
We consider overdetermined systems of difference equations for a single function u which are consist...
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equation...
We develop a new approach to the classification of integrable equations of the form uxy = f(u, ux, u...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
Integrability conditions for difference equations admitting a second order formal recursion operator...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
Multidimensional Consistency becomes more and more important in the theory of discrete integrable sy...
This thesis deals with discrete integrable systems theory and modified Hamiltonian equations in the ...
We classify all integrable three-dimensional scalar discrete affine linear equations Q3 = 0 on an el...
We present an integrability test for discrete equations on the square lattice, which is based on the...