On a class of Darboux-integrable semidiscrete equations

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Advances in Difference Equations
, 2017:182
First Online: 27 June 2017Received: 27 January 2017Accepted: 13 June 2017
Abstract
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.
Keywordssemidiscrete equations Darboux integrability characteristic rings Download fulltext PDF
Autor: Kostyantyn Zheltukhin - Natalya Zheltukhina - Ergun Bilen
Fuente: https://link.springer.com/