FINE-STRUCTURE OF MATRIX DARBOUX-TODA INTEGRABLE MAPPING

Authors
LEZNOV AN YUZBASHYAN EA
Citation
An. Leznov et Ea. Yuzbashyan, FINE-STRUCTURE OF MATRIX DARBOUX-TODA INTEGRABLE MAPPING, Physics letters. A, 242(1-2), 1998, pp. 31-35
Citations number
7
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
242
Issue
1-2
Year of publication
1998
Pages
31 - 35
Database
ISI
SICI code
0375-9601(1998)242:1-2<31:FOMDIM>2.0.ZU;2-2
Abstract
The matrix Darboux-Toda mapping is represented as a product of a numbe r of commutative mappings. The matrix Davey-Stewartson hierarchy is in variant with respect to each of these mappings. We thus introduce an e ntirely new type of discrete transformation for this hierarchy. The di screte transformation for the vector nonlinear Schrodinger system coin cides with one of the mappings under necessary reduction conditions. ( C) 1998 Published by Elsevier Science B.V.