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 construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
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...
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...
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...
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...
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...
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
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...
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...
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...
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...
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...
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
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