Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies

DOI10.1016/S0375-9601(98)00112-1zbMath0945.81012WikidataQ64038583 ScholiaQ64038583MaRDI QIDQ5906398

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Publication date: 12 December 1999

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

affine superalgebracoset constructionsgeneralized nonlinear Schrödinger hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

\(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy.
• The \(N=2\) supersymmetric matrix GNLS hierarchies
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• \(N=2\) KP and KdV hierarchies in extended superspace
• Towards the construction of \(N=2\) supersymmetric integrable hierarchies
• On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach
• New integrable extensions of \(N=2\) KdV and Boussinesq hierarchies.
• \(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace
• THE N = 3 SUPERSYMMETRIC KdV HIERARCHY
• The N=2 super W4 algebra and its associated generalized Korteweg– de Vries hierarchies
• Hamiltonian Structure and Coset Construction of the Supersymmetric Extensions of N=2 KdV Hierarchy
• A new N=2 supersymmetric Korteweg–de Vries equation

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