Fine structure of matrix DarbouxToda integrable mapping
Abstract
The matrix DarbouxToda mapping is represented as a product of a number of commutative mappings. The matrix DaveyStewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schrödinger system coincides with one of the mappings under necessary reduction conditions.
 Publication:

Physics Letters A
 Pub Date:
 May 1998
 DOI:
 10.1016/S03759601(98)001352
 arXiv:
 arXiv:hepth/9709007
 Bibcode:
 1998PhLA..242...31L
 Keywords:

 MATRIX DARBOUXTODA MAPPING;
 DISCRETE SYMMETRIES OF MATRIX NONLINEAR SCHRÖDINGER HIERARCHY;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 5 pages, no figures