On some algebraic properties of semi-discrete hyperbolic type equations

Ismagil Habibullin; Ash Pekcan; Natalya Zheltukhina

On some algebraic properties of semi-discrete hyperbolic type equations

Ismagil Habibullin
, Ash Pekcan
, Natalya Zheltukhina

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	277-292
Number of pages	16
Journal	Turkish Journal of Mathematics
Volume	32
Issue number	3
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Characteristic lie algebra
Darboux integrability
First integrals
Integrability test

Cite this

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title = "On some algebraic properties of semi-discrete hyperbolic type equations",

abstract = "Nonlinear semi-discrete equations of the form tx(n + 1) = f(t(n),t(n + 1),tx(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.",

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author = "Ismagil Habibullin and Ash Pekcan and Natalya Zheltukhina",

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AU - Pekcan, Ash

AU - Zheltukhina, Natalya

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N2 - Nonlinear semi-discrete equations of the form tx(n + 1) = f(t(n),t(n + 1),tx(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.

AB - Nonlinear semi-discrete equations of the form tx(n + 1) = f(t(n),t(n + 1),tx(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.

KW - Characteristic lie algebra

KW - Darboux integrability

KW - First integrals

KW - Integrability test

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On some algebraic properties of semi-discrete hyperbolic type equations

Abstract

Keywords

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