JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol.25, no.1, pp.166-177, 2018 (SCI-Expanded)
Article / Article
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Semi-discrete chain, Darboux integrability, x-integral, n-integral, discretization, LIOUVILLE TYPE, CLASSIFICATION, MODELS
Middle East Technical University Affiliated:
We 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.