The Gardner category and nonlocal conservation laws for N=1 Super KdV

DOI10.1063/1.2073289zbMath1111.37049arXivhep-th/0504149OpenAlexW3102745784MaRDI QIDQ3438656

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Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0504149

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60)

Related Items (10)

Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation ⋮ On the non-abelian superalgebra spanned by the conserved quantities of \({\mathcal N}=1\) supersymmetric Korteweg-de Vries equation ⋮ Integrability and BRST invariance from BF topological theory ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of super Korteweg-de Vries equations ⋮ Stability of solitonic solutions of super KdV equations under susy breaking conditions ⋮ A new integrable equation valued on a Cayley–Dickson algebra ⋮ Super extension of Bell polynomials with applications to supersymmetric equations ⋮ N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation ⋮ Gardner's deformations of the graded Korteweg–de Vries equations revisited

Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• An operator valued extension of the super Korteweg–de Vries equations
• Supersymmetric extension of the Korteweg–de Vries equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Supersymmetric exact sequence, heat kernel and super Korteweg–de Vries hierarchy
• Heat kernel coefficients for the matrix Schrödinger operator

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