GENERALIZATION OF HASIMOTO'S TRANSFORMATION

DOI10.1142/S0219887809003722zbMath1185.37139arXiv1204.5324MaRDI QIDQ3397549

Mathieu Molitor

Publication date: 22 September 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5324

zbMATH Keywords

vortex filamentHasimoto transformation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

О динамике вихревой нити. Новый взгляд на проблему энергии и эффективной массы ⋮ Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations

Cites Work

• Poisson geometry of the filament equation
• Topological methods in hydrodynamics
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• A soliton on a vortex filament
• Unnamed Item

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