Integrable discrete systems on R and related dispersionless systems

Blaszak M., Guerses M., Silindir B., Szablikowski B. M.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.49, sa.7, 2008 (SCI-Expanded) identifier identifier

  • 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.