Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy

Alexander S. Sorin; P.H.M. Kersten

doi:10.1023/B:ACAP.0000035592.48890.ae

Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy

Alexander S. Sorin, P.H.M. Kersten

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1 Citation (Scopus)

Abstract

A detailed description is given for the construction of the deformation of the N=2 supersymmetric α=1 KdV equation, leading to the recursion operator for symmetries and the zero-order Hamiltonian structure; the solution to a longstanding problem.

Original language	Undefined
Pages (from-to)	111-131
Journal	Acta applicandae mathematicae
Volume	83
Issue number	1-2
DOIs	https://doi.org/10.1023/B:ACAP.0000035592.48890.ae
Publication status	Published - 2004

Keywords

IR-69568
Complete integrability - deformations - bi-Hamiltonian structure - recursion operators - symmetries - conservation laws - coverings

Access to Document

10.1023/B:ACAP.0000035592.48890.ae

Cite this

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title = "Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy",

abstract = "A detailed description is given for the construction of the deformation of the N=2 supersymmetric α=1 KdV equation, leading to the recursion operator for symmetries and the zero-order Hamiltonian structure; the solution to a longstanding problem.",

keywords = "IR-69568, Complete integrability - deformations - bi-Hamiltonian structure - recursion operators - symmetries - conservation laws - coverings",

author = "Sorin, {Alexander S.} and P.H.M. Kersten",

year = "2004",

doi = "10.1023/B:ACAP.0000035592.48890.ae",

language = "Undefined",

volume = "83",

pages = "111--131",

journal = "Acta applicandae mathematicae",

issn = "0167-8019",

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T1 - Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy

AU - Sorin, Alexander S.

AU - Kersten, P.H.M.

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N2 - A detailed description is given for the construction of the deformation of the N=2 supersymmetric α=1 KdV equation, leading to the recursion operator for symmetries and the zero-order Hamiltonian structure; the solution to a longstanding problem.

AB - A detailed description is given for the construction of the deformation of the N=2 supersymmetric α=1 KdV equation, leading to the recursion operator for symmetries and the zero-order Hamiltonian structure; the solution to a longstanding problem.

KW - IR-69568

KW - Complete integrability - deformations - bi-Hamiltonian structure - recursion operators - symmetries - conservation laws - coverings

U2 - 10.1023/B:ACAP.0000035592.48890.ae

DO - 10.1023/B:ACAP.0000035592.48890.ae

M3 - Article

SN - 0167-8019

VL - 83

SP - 111

EP - 131

JO - Acta applicandae mathematicae

JF - Acta applicandae mathematicae

IS - 1-2

ER -