On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach

DOI10.1016/0375-9601(95)00651-IzbMath1020.37533arXivhep-th/9504138OpenAlexW1679681734MaRDI QIDQ1965712

Yanyan Li

Publication date: 8 February 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9504138

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (19)

N=4 super KdV hierarchy in N=4 and N=2 superspaces ⋮ Towards the construction of \(N=2\) supersymmetric integrable hierarchies ⋮ The \(N=2\) supersymmetric Toda lattice hierarchy ⋮ Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies ⋮ New integrable extensions of \(N=2\) KdV and Boussinesq hierarchies. ⋮ A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws ⋮ Manifestly supersymmetric Lax integrable hierarchies ⋮ Hamiltonian Structure and Coset Construction of the Supersymmetric Extensions of N=2 KdV Hierarchy ⋮ Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces. ⋮ Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies ⋮ N = 2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations ⋮ Dispersionless sTB ⋮ Supersymmetric Drinfeld–Sokolov reduction ⋮ The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice ⋮ The \(N=2\) supersymmetric Toda lattice hierarchy. ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ SuSy 2. ⋮ 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

Cites Work

• Quantum OSP-invariant nonlinear Schrödinger equation
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• The extended supersymmetrization of the nonlinear Schrödinger equation
• \(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace
• Mathematics of dispersive water waves
• N = 1, 2 SUPER-NLS HIERARCHIES AS SUPER-KP COSET REDUCTIONS
• A new N=2 supersymmetric Korteweg–de Vries equation
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings
• Tests of integrability of the supersymmetric nonlinear Schrödinger equation
• MATRIX MODELS WITHOUT SCALING LIMIT

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