On the discretization of Laine equations

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On_the_discretization_of_Laine_equations.pdf (403.91 KB)

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2018

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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.

Source Title

Journal of Nonlinear Mathematical Physics

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Taylor and Francis

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Darboux integrability, Discretization, N-integral, Semi-discrete chain, x-integral

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http://hdl.handle.net/11693/50093

Published Version (Please cite this version)

https://doi.org/10.1080/14029251.2018.1440748

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Scholarly Publications - Mathematics

Language

English

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Article