\(N=2\) KP and KdV hierarchies in extended superspace

DOI10.1007/s002200050246zbMath0908.35116arXivsolv-int/9609008OpenAlexW3102784937MaRDI QIDQ1270176

Francois Delduc, Laurent Gallot

Publication date: 15 March 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9609008

zbMATH Keywords

Hamiltonian structurespseudo-differential operatorssupersymmetric KP hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetry and quantum mechanics (81Q60)

Related Items (12)

d=2, N=2 superconformally covariant operators and super W-algebras ⋮ The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy. ⋮ \(N=2\) supersymmetric structures on classical \(W\)-algebras ⋮ Extensions of the \(N=2\) supersymmetric \(a=-2\) Boussinesq hierarchy ⋮ Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies ⋮ ON GAUGE-EQUIVALENT FORMULATIONS OF N=4 SKdV HIERARCHY ⋮ Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies ⋮ Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions ⋮ Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ A Note on the Third Family of N = 2 Supersymmetric KdV Hierarchies ⋮ Lax pair formulation of the \(N=4\) Toda chain (KdV) hierarchy in \(N=4\) superspace

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