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Integrability Test for Discrete Equations via Generalized Symmetries
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
In this article we present some integrability conditions for partial difference equations obtained using the formal symmetries approach. We apply them to find integrable partial difference equations c...
A General Version of the Retract Method for Discrete Equations
Discrete equation Consequent point Retract
2007/12/11
In this paper we study a problem concerning the compulsory behavior of solutions of systems of discrete equations $u(k+1)=F(k,u(k))$, $k=a,a+1,a+2,\dots$, $\,a\in {\Bbb{N}}$, ${\Bbb{N}}=\{0,1,\dots \}...