27 citations · 79 across the 4 of their papers we have counts for
4 papers
Complete list of Darboux Integrable Chains of the form
Ismagil Habibullin, Natalya Zheltukhina, Asli Pekcan
We study differential-difference equation of the form with unknown depending on continuous and discrete va…
On the Classification of Darboux Integrable Chains
Ismagil Habibullin, Natalya Zheltukhina, Aslı Pekcan
We study differential-difference equation of the form with unknown depending on , . The equation is called Darboux integrable, i…
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Ismagil Habibullin, Asli Pekcan, Natalya Zheltukhina
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 the atte…
Characteristic Lie Algebra and Classification of Semi-Discrete Models
Ismagil Habibullin, Asli Pekcan
Characteristic Lie algebras of semi-discrete chains are studied. The attempt to adopt this notion to the classification of Darboux integrable chains has been undertaken.