Additional symmetries of supersymmetric KP hierarchies

DOI10.1007/BF02099771zbMath0807.35129arXivhep-th/9309058MaRDI QIDQ1338870

Sonia Stanciu

Publication date: 23 November 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9309058

zbMATH Keywords

\(\text{SKP}_ 2\) hierarchyJacobian SKP hierarchySKP hierarchy of Manin and Radul

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetry and quantum mechanics (81Q60) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (11)

Multi-component supersymmetric D type Drinfeld-Sokolov hierarchy and its Virasoro symmetry ⋮ \(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries ⋮ Symmetries of supersymmetric CKP hierarchy and its reduction ⋮ \(SW_{1+\infty}\) symmetries of \(N = 2\) supersymmetric CKP hierarchy and its multicomponent generalization ⋮ \(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization ⋮ Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies ⋮ A Super Camassa–Holm Equation with N‐Peakon Solutions ⋮ Bosonic symmetries of the extended fermionic \((2N, 2M)\)-Toda hierarchy ⋮ Supersymmetric BKP systems and their symmetries ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions

Cites Work

• Unnamed Item
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Classical \(N =1\) \(W\)-superalgebras from Hamiltonian reduction
• Additional symmetries for integrable equations and conformal algebra representation
• The algebra of differential operators on the circle and \(W^{(q)}_{\text{KP}}\)
• The geometry of the super KP flows
• NEW SUPERSYMMETRIZATIONS OF THE GENERALIZED KdV HIERARCHIES
• NON-PERTURBATIVE SOLUTION OF THE SUPER-VIRASORO CONSTRAINTS
• INTEGRABILITY AND BIHAMILTONIAN STRUCTURE OF THE EVEN ORDER SKDV HIERARCHIES

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