From recursion operators to Hamiltonian structures. The factorization method

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

Research output: Book/ReportReportOther research output

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Abstract

We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Our approach is based on the geometrical theory of nonlinear differential equations and is in a sense inverse to the well-known Magri scheme. As an illustrative example, we take the KdV equation and the Boussinesq equation. Further applications, including construction of previously unknown Hamiltonian structures, are in preparation.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Publication statusPublished - 2002

Publication series

Name
PublisherDepartment of Applied Mathematics, University of Twente
No.1624
ISSN (Print)0169-2690

Keywords

  • IR-65811
  • EWI-3444
  • MSC-58C50
  • MSC-58F05
  • MSC-58F07
  • MSC-35Q53

Cite this

Kersten, P. H. M., & Krasil'shchik, I. (2002). From recursion operators to Hamiltonian structures. The factorization method. Enschede: University of Twente, Department of Applied Mathematics.
Kersten, P.H.M. ; Krasil'shchik, I. / From recursion operators to Hamiltonian structures. The factorization method. Enschede : University of Twente, Department of Applied Mathematics, 2002.
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Kersten, PHM & Krasil'shchik, I 2002, From recursion operators to Hamiltonian structures. The factorization method. University of Twente, Department of Applied Mathematics, Enschede.

From recursion operators to Hamiltonian structures. The factorization method. / Kersten, P.H.M.; Krasil'shchik, I.

Enschede : University of Twente, Department of Applied Mathematics, 2002.

Research output: Book/ReportReportOther research output

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AB - We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Our approach is based on the geometrical theory of nonlinear differential equations and is in a sense inverse to the well-known Magri scheme. As an illustrative example, we take the KdV equation and the Boussinesq equation. Further applications, including construction of previously unknown Hamiltonian structures, are in preparation.

KW - IR-65811

KW - EWI-3444

KW - MSC-58C50

KW - MSC-58F05

KW - MSC-58F07

KW - MSC-35Q53

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Kersten PHM, Krasil'shchik I. From recursion operators to Hamiltonian structures. The factorization method. Enschede: University of Twente, Department of Applied Mathematics, 2002.