Copy For Citation
ZHELTUKHIN K., ZHELTUKHİNA N.
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol.25, no.1, pp.166-177, 2018 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
25
Issue:
1
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Publication Date:
2018
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Doi Number:
10.1080/14029251.2018.1440748
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Journal Name:
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.166-177
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Keywords:
Semi-discrete chain, Darboux integrability, x-integral, n-integral, discretization, LIOUVILLE TYPE, CLASSIFICATION, MODELS
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Middle East Technical University Affiliated:
Yes
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.