The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy.

DOI10.1016/S0370-2693(97)00752-1zbMath1054.37508arXivhep-th/9704130WikidataQ64038588 ScholiaQ64038588MaRDI QIDQ1125624

Alexander S. Sorin, Loriano Bonora

Publication date: 13 December 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9704130

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (7)

A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies ⋮ The \(N=2\) supersymmetric Toda lattice 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 ⋮ \(N = 2\) 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

Cites Work

• Unnamed Item
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• 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
• New integrable extensions of \(N=2\) KdV and Boussinesq hierarchies.
• \(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace
• A new N=2 supersymmetric Korteweg–de Vries equation
• Affine Lie algebraic origin of constrained KP hierarchies
• Manifestly supersymmetric Lax integrable hierarchies

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