N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation

DOI10.1063/1.3447731zbMath1312.35153arXiv0911.2681OpenAlexW2050228457MaRDI QIDQ5253716

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Publication date: 27 May 2015

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

Full work available at URL: https://arxiv.org/abs/0911.2681

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) Supersymmetry and quantum mechanics (81Q60) Formal methods and deformations in algebraic geometry (14D15)

Related Items (5)

On the non-abelian superalgebra spanned by the conserved quantities of \({\mathcal N}=1\) supersymmetric Korteweg-de Vries equation ⋮ A novel Hirota bilinear approach to N = 2 supersymmetric equations ⋮ On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications ⋮ A N = 2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation ⋮ Gardner's deformations of the graded Korteweg–de Vries equations revisited

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