On the classification of Darboux integrable chains

Simple item page
dc.citation.epage102702-39en_US
dc.citation.issueNumber10en_US
dc.citation.spage102702-1en_US
dc.citation.volumeNumber49en_US
dc.contributor.authorHabibullin, I.en_US
dc.contributor.authorZheltukhina, N.en_US
dc.contributor.authorPekcan, A.en_US
dc.date.accessioned2015-07-28T11:58:14Z
dc.date.available2015-07-28T11:58:14Z
dc.date.issued2008en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe study differential-difference equation (d/dx) t (n+1,x) =f (t (n,x),t (n+1,x), (d/dx) t (n,x)) with unknown t (n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Darboux integrable, if there exist two functions F and I of a finite number of arguments x, { t (n+k,x) } k=-∞ ∞, {(dk /d xk) t (n,x) } k=1 ∞, such that Dx F=0 and DI=I, where D x is the operator of total differentiation with respect to x and D is the shift operator: Dp (n) =p (n+1). Reformulation of Darboux integrability in terms of finiteness of two characteristic Lie algebras gives an effective tool for classification of integrable equations. The complete list of Darboux integrable equations is given in the case when the function f is of the special form f (u,v,w) =w+g (u,v). © 2009 American Institute of Physics.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T11:58:14Z (GMT). No. of bitstreams: 1 10.1063-1.2992950.pdf: 353182 bytes, checksum: e61090396fbf43ca0a7e7925dce270aa (MD5)en
dc.identifier.doi10.1063/1.2992950en_US
dc.identifier.eissn1089-7658
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/11693/11637
dc.language.isoEnglishen_US
dc.publisherAmerican Institute of Physicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1063/1.2992950en_US
dc.source.titleJournal of Mathematical Physicsen_US
dc.subjectDifference Equationsen_US
dc.subjectDifferentiationen_US
dc.subjectIntegral equationsen_US
dc.subjectLie algebrasen_US
dc.subjectMathematical operatorsen_US
dc.subjectDifference equationsen_US
dc.subjectDifferentiationen_US
dc.subjectIntegral equationsen_US
dc.subjectLie Algebrasen_US
dc.subjectMathematical operatorsen_US
dc.subjectEquationsen_US
dc.titleOn the classification of Darboux integrable chainsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
On_the_classification_of_Darboux_integrable_chains.pdf
Size:
344.9 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Scholarly Publications - Mathematics