- Turkish Journal of Mathematics
- Vol: 32 Issue: 3
- On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Authors : Ismagil Habibullin, Ismagil Habibullin, Aslı Pekcan, Aslı Pekcan, Natalya Zheltukhina
Pages : 277-292
View : 11 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Darboux integrability, Characteristic Lie Algebra, First Integrals, Integrability test