Integrable discrete systems on R and related dispersionless systems
JOURNAL OF MATHEMATICAL PHYSICS, cilt.49, sa.7, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 7
- Basım Tarihi: 2008
- Doi Numarası: 10.1063/1.2948962
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Dokuz Eylül Üniversitesi Adresli: Hayır
Özet
A general framework for integrable discrete systems on R, in particular, containing lattice soliton systems and their q-deformed analogs, is presented. The concept of regular grain structures on R, generated by discrete one-parameter groups of diffeomorphisms, in terms of which one can define algebra of shift operators is introduced. Two integrable hierarchies of discrete chains together with bi-Hamiltonian structures and their continuous limits are constructed. The inverse problem based on the deformation quantization scheme is considered. (C) 2008 American Institute of Physics.