On the equivalence of two super Korteweg–deVries theories: A bi-Hamiltonian viewpoint

DOI10.1063/1.530510zbMath0805.58010OpenAlexW2007611014MaRDI QIDQ4314223

Carlo Morosi, Livio Pizzocchero

Publication date: 20 November 1994

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

Full work available at URL: https://doi.org/10.1063/1.530510

zbMATH Keywords

bi-HamiltonianLaberge- MathieuManin-Radulsupersymmetric Korteweg-deVries

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Superalgebras (17A70)

Related Items

Null surfaces, initial values, and evolution operators for spinor fields ⋮ A fully supersymmetric AKNS theory ⋮ Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies ⋮ SuSy 2.

Cites Work

• \(N=2\) super KdV and super sine-Gordon equations based on Lie super algebra \(A(1,1)^{(1)}\).
• Lie algebras and equations of Korteweg-de Vries type
• Reduction of Poisson manifolds
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view
• On the biHamiltonian structure of the supersymmetric KdV hierarchies. A Lie superalgebraic approach