Integrable discrete systems on R and related dispersionless systems

Date
2008
Authors
Blaszak, M.
Gurses, M.
Silindir, B.
Szablikowski, B. M.
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Mathematical Physics
Print ISSN
0022-2488
Electronic ISSN
Publisher
American Institute of Physics
Volume
49
Issue
7
Pages
072702-1 - 072702-17
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Series
Abstract

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. © 2008 American Institute of Physics.

Course
Other identifiers
Book Title
Keywords
Q-pseudodifferential Symbols, Q-analog, Hierarchies, Algebra, Matrix, Limit
Citation
Published Version (Please cite this version)