Integrable systems : spectral curves and representation theory
Author
Source
General Letters in Mathematics
Issue
Vol. 3, Issue 1 (31 Aug. 2017), pp.1-24, 24 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2017-08-31
Country of Publication
Jordan
No. of Pages
24
Main Subjects
Abstract EN
The aim of this paper is to present an overview of the active area via the spectral linearization method for solving integrable systems.
New examples of integrable systems, which have been discovered, are based on the so called Lax representation of the equations of motion.
Through the Adler-Kostant-Symes construction, however, we can produce Hamiltonian systems on coadjoint orbits in the dual space to a Lie algebra whose equations of motion take the Lax form.
We outline an algebraic-geometric interpretation of the ows of these systems, which are shown to describe linear motion on a complex torus.
These methods are exempli ed by several problems of integrable systems of relevance in mathematical physics.
American Psychological Association (APA)
Lisfari, A.. 2017. Integrable systems : spectral curves and representation theory. General Letters in Mathematics،Vol. 3, no. 1, pp.1-24.
https://search.emarefa.net/detail/BIM-938110
Modern Language Association (MLA)
Lisfari, A.. Integrable systems : spectral curves and representation theory. General Letters in Mathematics Vol. 3, no. 1 (Aug. 2017), pp.1-24.
https://search.emarefa.net/detail/BIM-938110
American Medical Association (AMA)
Lisfari, A.. Integrable systems : spectral curves and representation theory. General Letters in Mathematics. 2017. Vol. 3, no. 1, pp.1-24.
https://search.emarefa.net/detail/BIM-938110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 21-24
Record ID
BIM-938110