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, Department of Applied Mathematics
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, Department of Applied Mathematics

CY - Enschede

ER -

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

Abstract

Publication series

Keywords

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