Title of article :
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Author/Authors :
HABIBULLIN, Ismagil Bilkent University - Faculty of Science - Department of Mathematics, TURKEY , PEKCAN, Aslı Bilkent University - Faculty of Science - Department of Mathematics, TURKEY , ZHELTUKHINA, Natalya Bilkent University - Faculty of Science - Department of Mathematics, TURKEY
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
