Copy For Citation
Habibullin I., Pekcan A., Zheltukhina N.
TURKISH JOURNAL OF MATHEMATICS, vol.32, no.3, pp.277-292, 2008 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
32
Issue:
3
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Publication Date:
2008
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Journal Name:
TURKISH JOURNAL OF MATHEMATICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
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Page Numbers:
pp.277-292
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Keywords:
Darboux integrability, characteristic lie algebra, first integrals, integrability test, CLASSIFICATION
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Hacettepe University Affiliated:
No
Abstract
Nonlinear semi-discrete equations of the form t(x)(n+ 1) = f(t(n), t(n + 1), t(x)(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this notion to the classification of Darboux integrable chains has been undertaken.