2006/03/31 by Aristophanes Dimakis, Folkert Muller-Hoissen, Folkert Müller-Hoissen · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/0305-4470/39/45/010
22 pages, 2nd version: title changed and material organized in a different way, 3rd version: introduction and first part of section 2 rewritten, taking account of previously overlooked references. To appear in J. Physics A: Math. Gen
arxiv created 2006/10/02 · openalex publication_date 2006/10/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Using deformations of associative products, derivative nonlinear Schrödinger (DNLS) hierarchies are recovered as AKNS-type hierarchies. Since the latter can also be formulated as Gelfand–Dickey-type Lax hierarchies, a recently developed method to obtain 'functional representations' can be applied. We actually consider hierarchies with dependent variables in any (possibly noncommutative) associative algebra, e.g., an algebra of matrices of functions. This also covers the case of hierarchies of coupled derivative NLS equations.