Symmetries of the super KP hierarchy
type: Item
instance of: scholarly article
title: Symmetries of the super KP hierarchy
zbMATH Open document ID: 0699.58045
DOI: 10.1007/BF00399760
author: Kanehisa Takasaki
published in: Letters in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: Symmetries for the supersymmetric extension of the Kadomtsev-Petviashvili equation are constructed. These symmetries are given in terms of a certain supercommutator. An essential tool for their constructions is given by the polynomials of the superderivative with coefficients in the algebra of superderivatives of the dependent bosonic and fermionic variables.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 4147159
zbMATH Keywords: super KP hierarchy
zbMATH Keywords: Symmetries
zbMATH Keywords: supersymmetric extension of the Kadomtsev-Petviashvili equation
reviewed by: Benno Fuchssteiner
MaRDI profile type: Publication
cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
cites work: Q3830281
cites work: Solvability of the super KP equation and generalized of the Birkhoff decomposition
cites work: KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
cites work: Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy
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description: scientific article; zbMATH DE number 4147159