Symmetries of the super KP hierarchy (Q913343): Difference between revisions

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scientific article; zbMATH DE number 4147159
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Property / reviewed by: Benno Fuchssteiner / rank
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Property / reviewed by: Benno Fuchssteiner / rank
 
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Property / cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy / rank
 
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Property / cites work: Q3830281 / rank
 
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Property / cites work: Solvability of the super KP equation and generalized of the Birkhoff decomposition / rank
 
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Property / cites work: KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– / rank
 
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Property / cites work: Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy / rank
 
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Latest revision as of 13:31, 10 July 2025

scientific article; zbMATH DE number 4147159
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English
Symmetries of the super KP hierarchy
scientific article; zbMATH DE number 4147159

    Statements

    Symmetries of the super KP hierarchy (English)
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    1989
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    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.
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    super KP hierarchy
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    Symmetries
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    supersymmetric extension of the Kadomtsev-Petviashvili equation
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