On a class of Darboux-integrable semidiscrete equations
Advances in Difference Equations
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We consider a classification problem for Darboux-integrable hyperbolic semidiscrete equations. In particular, we obtain a complete description for a special class of equations admitting four-dimensional characteristic x-rings and two-dimensional characteristic n-rings. For all described equations, the corresponding x- and n-integrals are constructed. © 2017, The Author(s).