Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy

DOI10.1016/S0375-9601(02)00852-6zbMath0997.37046arXivnlin/0201061MaRDI QIDQ1608996

Alexander S. Sorin, Paul H. M. Kersten

Publication date: 14 August 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0201061

zbMATH Keywords

recursion operatorsymmetry algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (6)

Supersymmetry and the KdV equations for integrable hierarchies with a half-integer gradation ⋮ A 2-component or \(N=2\) supersymmetric Camassa-Holm equation ⋮ N = 2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations ⋮ \(N = 2\) supersymmetric unconstrained matrix GNLS hierarchies are consistent ⋮ N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation ⋮ Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy

Cites Work

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• Deformation and recursion for the \(N=2\) \(\alpha=1\) supersymmetric KdV hierarchy
• Some new cohomological invariants for nonlinear differential equations
• Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy
• Graded differential equations and their deformations: A computational theory for recursion operators
• Towards the construction of \(N=2\) supersymmetric integrable hierarchies
• A new N=2 supersymmetric Korteweg–de Vries equation

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