565 citations
- Ludwig-Maximilians-Universität MünchenDE5 papers
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nlin.SI2008★ 25 cited
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…
nlin.SI2007★ 8 cited
Integrable nonlinear equations on a circle
Metin Gurses, Ismagil Habibullin, Kostyantyn Zheltukhin
The concept of integrable boundary value problems for soliton equations on and is extended to bounded regions enclosed by smooth curves. Classes of inte…
nlin.SI2006★ 27 cited
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.