It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-difference equations, thus implying that we can associate to it a triad of linear problems. Using this same trick we construct new 2-dimensional differential-difference equations with exponential interactions
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We extend two of the methods previously introduced to find discrete symmetries of differential equat...
Integrability conditions for difference equations admitting a second order formal recursion operator...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Two different methods of finding Lie point symmetries of differential-difference equations are prese...
Lie group techniques for solving differential equations are extended to differential-difference equa...
In this paper we show how one can construct hierarchies of nonlinear differential difference equatio...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
Discrete integrable nonlinear differential difference equations (NDDEs) have various mathematical st...
Abstract. In this paper, we give finite dimensional exponential solutions of the bigraded Toda Hiera...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We extend two of the methods previously introduced to find discrete symmetries of differential equat...
Integrability conditions for difference equations admitting a second order formal recursion operator...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Two different methods of finding Lie point symmetries of differential-difference equations are prese...
Lie group techniques for solving differential equations are extended to differential-difference equa...
In this paper we show how one can construct hierarchies of nonlinear differential difference equatio...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
Discrete integrable nonlinear differential difference equations (NDDEs) have various mathematical st...
Abstract. In this paper, we give finite dimensional exponential solutions of the bigraded Toda Hiera...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We extend two of the methods previously introduced to find discrete symmetries of differential equat...
Integrability conditions for difference equations admitting a second order formal recursion operator...
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