Add to ORKGI will discuss the properties of a parameter-family of linear partial quad-graph equations and exhibit the rich integrable structure behind those equations: multidimensional consistency, Backlund transforms, multi-Lagrangian structure, associated continuous equations and periodic and scaling reductions, leading to discrete dynamics. All these properties can be lifted to the nonlinear case. Examples of the multicomponent case will be mentioned as well (if time allows).Non UBCUnreviewedAuthor affiliation: University of LeedsFacult
We present two types of systems of differential equations that can be derived from a set of discrete...
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume f...
We present a discrete analogue of the so-called symmetry reduced or ‘constrained’ KP hierarchy. As a...
I will discuss the properties of a parameter-family of linear partial quad-graph equations and exhib...
A classification of discrete integrable systems on quad-graphs, i.e. on surface cell decompositions ...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
The notion of a multidimensional quadrilateral lattice is introduced. It is shown that such a lattic...
A new class of discrete dynamical systems is introduced via a duality relation for discrete dynamica...
In this paper we consider the classification of dispersive linearizable partial difference equations...
lectures 1,2,3 are based on the works nn 136,137,140 148,159,163 in this list made in collaboration ...
Abstract. Integrable difference equations commonly have more low-order conservation laws than occur ...
The aim of this thesis is the development of a multiscale reductive perturbation technique for discr...
Abstract. We propose the notion of integrable boundary in the context of discrete in-tegrable system...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present two types of systems of differential equations that can be derived from a set of discrete...
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume f...
We present a discrete analogue of the so-called symmetry reduced or ‘constrained’ KP hierarchy. As a...
I will discuss the properties of a parameter-family of linear partial quad-graph equations and exhib...
A classification of discrete integrable systems on quad-graphs, i.e. on surface cell decompositions ...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
The notion of a multidimensional quadrilateral lattice is introduced. It is shown that such a lattic...
A new class of discrete dynamical systems is introduced via a duality relation for discrete dynamica...
In this paper we consider the classification of dispersive linearizable partial difference equations...
lectures 1,2,3 are based on the works nn 136,137,140 148,159,163 in this list made in collaboration ...
Abstract. Integrable difference equations commonly have more low-order conservation laws than occur ...
The aim of this thesis is the development of a multiscale reductive perturbation technique for discr...
Abstract. We propose the notion of integrable boundary in the context of discrete in-tegrable system...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present two types of systems of differential equations that can be derived from a set of discrete...
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume f...
We present a discrete analogue of the so-called symmetry reduced or ‘constrained’ KP hierarchy. As a...