One solution of the 3D Jacobi identities allows determining an infinity of them

It is demonstrated that the knowledge of a single and arbitrary solution of the three-dimensional Jacobi equations allows determining infinite families of new solutions, which are generally and explicitly constructed in what follows. Examples are given.

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Bibliographic Details
Published inPhysics letters. A Vol. 287; no. 5; pp. 371 - 378
Main Author Hernández-Bermejo, Benito
Format Journal Article
LanguageEnglish
Published Elsevier B.V 03.09.2001
Subjects
3D systems
Finite-dimensional Poisson systems
Jacobi identities
PDEs
3D systems
Jacobi identities
Finite-dimensional Poisson systems
PDEs
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Summary:It is demonstrated that the knowledge of a single and arbitrary solution of the three-dimensional Jacobi equations allows determining infinite families of new solutions, which are generally and explicitly constructed in what follows. Examples are given.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(01)00506-0