Recursion in curve geometry

zbMath0930.35151MaRDI QIDQ1292231

Joel C. Langer

Publication date: 20 June 1999

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120108

zbMATH Keywords

nonlinear Schrödinger equationmodified Korteweg-de Vries equationFrénet framefilament model recursionsoliton curve

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Curves in Euclidean and related spaces (53A04)

Related Items (12)

Generalized elastic line deformed on a nonnull surface by an external field in the 3-dimensional semi-Euclidean space \(\mathbb{E}_{1}^{3}\) ⋮ On the bicycle transformation and the filament equation: results and conjectures ⋮ A nonlocal Poisson bracket of the sine-Gordon model ⋮ Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Geometric breathers of the mKdV equation ⋮ Straightening soliton curves ⋮ Surfaces in the four-space and the Davey-Stewartson equations ⋮ A bi-Hamiltonian structure for the integrable, discrete nonlinear Schrödinger system ⋮ Soliton curves in three-dimensional space forms ⋮ On closed finite gap curves in spaceforms. I ⋮ Exact solutions of the Hirota equation and vortex filaments motion

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