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On the discretization of Laine equations |
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| Authors: | Kostyantyn Zheltukhin Natalya Zheltukhina |
| Affiliation: | 1. Middle East Technical University, Department of Mathematics, Universiteler Mahallesi, Dumlupinar Bulvar No:1, 06800 Cankaya, Ankara, Turkey;2. Department of Mathematics, Faculty of Science, Bilkent University, 06800 Bilkent, Ankara, Turkey, natalya@fen.bilkent.edu.tr |
| Abstract: | 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. |
| Keywords: | Semi-discrete chain Darboux integrability x-integral n-integral discretization |