An extensive study of the $N = 1$ supersymmetric KDV equation

P.H.M. Kersten; I. Krasil'shchik; A. Verbovetsky

An extensive study of the $N = 1$ supersymmetric KDV equation

P.H.M. Kersten, I. Krasil'shchik, A. Verbovetsky

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Abstract

Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.

Original language	English
Place of Publication	Enschede
Publisher	University of Twente
Publication status	Published - 2002

Publication series

Name	Memorandum
Publisher	Department of Applied Mathematics, University of Twente
No.	1656
ISSN (Print)	0169-2690

Keywords

MSC-35Q53
MSC-37K10

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memo1656Final published version, 1.6 MB

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title = "An extensive study of the $N = 1$ supersymmetric KDV equation",

abstract = "Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.",

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T1 - An extensive study of the $N = 1$ supersymmetric KDV equation

AU - Kersten, P.H.M.

AU - Krasil'shchik, I.

AU - Verbovetsky, A.

PY - 2002

Y1 - 2002

N2 - Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.

AB - Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.

KW - MSC-35Q53

KW - MSC-37K10

M3 - Report

T3 - Memorandum

BT - An extensive study of the $N = 1$ supersymmetric KDV equation

PB - University of Twente

CY - Enschede

ER -

An extensive study of the $N = 1$ supersymmetric KDV equation

Abstract

Publication series

Keywords

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