From AKNS to derivative NLS hierarchies via deformations of associative products

DOI10.1088/0305-4470/39/45/010zbMath1105.37040arXivnlin/0603048OpenAlexW2051157354MaRDI QIDQ3419353

Folkert Mueller-Hoissen, Aristophanes Dimakis

Publication date: 6 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0603048

zbMATH Keywords

associative algebrafunctional representationfunctional representationscoupled derivative NLS equationsGelfand-Dickey-type Lax hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Generalized integrable hierarchies of AKNS type, super Dirac type and super NLS-mKdV type ⋮ Burgers and Kadomtsev-Petviashvili hierarchies: a functional representation approach ⋮ Functional representation of the negative DNLS hierarchy ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems ⋮ Systematic method of generating new integrable systems via inverse Miura maps

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