10 citations · 11 across the 2 of their papers we have counts for
2 papers
nlin.SI2004★ 10 cited
Hasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity
Darryl D. Holm, Samuel N. Stechmann
Vorticity filament motions with respect to the Dirac bracket of Rasetti and Regge [1975] are known to be related to the nonlinear Schrödinger equation by the Hasimoto transformatio…
nlin.PS2004★ 1 cited
Reduced Singular Solutions of EPDiff Equations on Manifolds with Symmetry
Darryl D. Holm, Jonathan Munn, Samuel N. Stechmann
The EPDiff equation governs geodesic flow on the diffeomorphisms with respect to a chosen metric, which is typically a Sobolev norm on the tangent space of vector fields. EPDiff ad…