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Algebraic structures related to integrable differential equations
- Publication Year :
- 2017
-
Abstract
- The survey is devoted to algebraic structures related to integrable ODEs and evolution PDEs. A description of Lax representations is given in terms of vector space decomposition of loop algebras into a direct sum of Taylor series and a complementary subalgebra. Examples of complementary subalgebras and corresponding integrable models are presented. In the framework of the bi-Hamiltonian approach compatible associative algebras related affine Dynkin diagrams are considered. A bi-Hamiltonian origin of the classical elliptic Calogero-Moser models is revealed.<br />Comment: 107 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1711.10613
- Document Type :
- Working Paper