Zheltukhin, K.Zheltukhina, N.2018-04-122018-04-1220161402-9251http://hdl.handle.net/11693/36607The necessary and sufficient conditions for a hyperbolic semi-discrete equation to have five dimensional characteristic x-ring are derived. For any given chain, the derived conditions are easily verifiable by straightforward calculations. © 2016 the authors.EnglishCharacteristic ringDarboux integrabilityHyperbolic semi-discrete equations37K1017B8039A99Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ringArticle10.1080/14029251.2016.119949714029251