Towards the construction of \(N=2\) supersymmetric integrable hierarchies

DOI10.1016/0550-3213(96)00377-XzbMath0925.81302arXivhep-th/9604165OpenAlexW2136566849WikidataQ64038593 ScholiaQ64038593MaRDI QIDQ1923115

Yanyan Li

Publication date: 1 October 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9604165

zbMATH Keywords

nonlinear Schrödinger hierarchyLax operatorsdegenerate pseudodifferential operatorssecond Hamiltonian structurebosonic free superfieldsMiura like realization

Mathematics Subject Classification ID

Related Items (15)

Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation ⋮ The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy. ⋮ The \(N=2\) supersymmetric Toda lattice hierarchy ⋮ Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras ⋮ On the integrable hierarchies associated with the \(N=2\) super \(W_ n\) algebra. ⋮ Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies ⋮ New integrable extensions of \(N=2\) KdV and Boussinesq hierarchies. ⋮ Hamiltonian Structure and Coset Construction of the Supersymmetric Extensions of N=2 KdV Hierarchy ⋮ Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies ⋮ \(N = 2\) supersymmetric unconstrained matrix GNLS hierarchies are consistent ⋮ The \(N=2\) supersymmetric Toda lattice hierarchy. ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation ⋮ A Note on the Third Family of N = 2 Supersymmetric KdV Hierarchies ⋮ Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• Many boson realizations of universal nonlinear \(W_ \infty\)-algebras, modified KP hierarchies, and graded Lie algebras
• The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated \(W\) algebra
• Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model
• On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach
• THE N = 3 SUPERSYMMETRIC KdV HIERARCHY
• REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KdV HIERARCHIES AND THE TWO-MATRIX MODEL
• N = 1, 2 SUPER-NLS HIERARCHIES AS SUPER-KP COSET REDUCTIONS
• The N=2 super W4 algebra and its associated generalized Korteweg– de Vries hierarchies
• A new N=2 supersymmetric Korteweg–de Vries equation
• The extended supersymmetrization of the multicomponent Kadomtsev - Petviashvilli hierarchy
• The (N,M)th Korteweg–de Vries hierarchy and the associated W-algebra
• A NONSTANDARD SUPERSYMMETRIC KP HIERARCHY
• MATRIX MODELS WITHOUT SCALING LIMIT

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