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29 March 2024
 
  » arxiv » nlin/0603048

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Functional representations of derivative NLS hierarchies
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 23 Mar 2006
Subject Exactly Solvable and Integrable Systems
AbstractWe exploit a recent result which provides the basis for a systematic derivation of ’functional representations’ of Gelfand-Dickey-type hierarchies with variables in any noncommutative associative algebra (in particular, matrix algebras). In this work we apply it to AKNS-type hierarchies, associated with coupled derivative nonlinear Schrodinger equations (with dependent variables in any noncommutative algebra), and compute corresponding representations by functional equations. A central point is the use of deformed associative products which depend on a spectral parameter.
Source arXiv, nlin/0603048
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