On the discretization of Laine equations
Date
2018
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Source Title
Journal of Nonlinear Mathematical Physics
Print ISSN
1402-9251
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Publisher
Taylor and Francis
Volume
25
Issue
1
Pages
166 - 177
Language
English
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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.