A class of vortex filament solitons in fluids, plasmas, and superconductors

DOI10.1063/1.3496994zbMath1314.35170OpenAlexW2006150171MaRDI QIDQ5253988

Ron Perline

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3496994

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Soliton solutions (35C08)

Related Items (1)

Soliton curves in three-dimensional space forms

Cites Work

• The Hasimoto transformation and integrable flows on curves
• Nonlinear Schrödinger equations and simple Lie algebras
• Poisson geometry of the filament equation
• Geometric realizations of Fordy-Kulish nonlinear Schrödinger systems.
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Local geometric invariants of integrable evolution equations
• A soliton on a vortex filament
• Three-dimensional distortions of a vortex filament with axial velocity
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