Zheltukhin, K.Zheltukhina, Natalya2019-02-212019-02-2120181402-9251http://hdl.handle.net/11693/50093We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.EnglishDarboux integrabilityDiscretizationN-integralSemi-discrete chainx-integralArticle10.1080/14029251.2018.1440748