Supersymmetric bi-Hamiltonian systems (Q2662086)

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Language	Label	Description	Also known as
English	Supersymmetric bi-Hamiltonian systems	scientific article

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scholarly article

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Supersymmetric bi-Hamiltonian systems (English)

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Sylvain Carpentier

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Communications in Mathematical Physics

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publication date

8 April 2021

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full work available at URL

https://arxiv.org/abs/1911.11843

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zbMATH Keywords

Hamiltonian integrable systems

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super KdV equation

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MaRDI profile type

MaRDI publication profile

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Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures

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Poisson vertex algebras in the theory of Hamiltonian equations

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Nonstandard Drinfeld-Sokolov reduction

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Generalized Drinfel'd-Sokolov hierarchies

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Finite vs affine \(W\)-algebras

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Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras

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A new scheme of integrability for (bi)Hamiltonian PDE

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Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras

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Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras

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Erratum to: ``Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents''

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Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies

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Double Poisson vertex algebras and non-commutative Hamiltonian equations

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Supersymmetric Drinfeld–Sokolov reduction

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Lie algebras and equations of Korteweg-de Vries type

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Generalized Drinfeld-Sokolov reductions and KdV type hierarchies

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Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction

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Supersymmetric vertex algebras

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GENERALIZED N=2 SUPER KdV HIERACHIES: LIE SUPERALGEBRAIC METHODS AND SCALAR SUPER LAX FORMALISM

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Lie superalgebraic approach to super Toda lattice and generalized super KdV equations

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\(N=2\) super KdV and super sine-Gordon equations based on Lie super algebra \(A(1,1)^{(1)}\).

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Super-KdV equation: classical solutions and quantization

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On the Drinfeld-Sokolov Hierarchies of D Type

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Quantum Hamiltonian reduction in superspace formalism

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A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy

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On the integrability of the super-KdV equation

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The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems

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Equivalence of the Drinfeld-Sokolov reduction to a bi-Hamiltonian reduction

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Classical affine W-superalgebras via generalized Drinfeld-Sokolov reductions and related integrable systems

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Structures of (supersymmetric) classical W-algebras

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Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-021-03974-7

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Mathematics(1 entry)

mardi Publication:2662086

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