Poisson geometry of the filament equation
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Publication:1322668
DOI10.1007/BF01209148zbMath0795.35115MaRDI QIDQ1322668
Publication date: 14 September 1994
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamics induced by flows and semiflows (37C10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
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Cites Work
- The local structure of Poisson manifolds
- The Hasimoto transformation and integrable flows on curves
- The total squared curvature of closed curves
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- The Schouten bracket and Hamiltonian operators
- Knotted Elastic Curves in R 3
- A simple model of the integrable Hamiltonian equation
- A soliton on a vortex filament
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