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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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