14 citations · 19 across the 5 of their papers we have counts for
5 papers
Hasimoto Transformation of General Flows Expressed in the Frenet Frame
Jacob S. Hofer, Scott A. Strong
A one-dimensional space curve in is a useful nonlinear medium for modeling vortex filaments and biological soft-matter capable of supporting a variety of wave moti…
Non-Hamiltonian Kelvin wave generation on vortices in Bose-Einstein condensates
Scott A. Strong, Lincoln D. Carr
Ultra-cold quantum turbulence is expected to decay through a cascade of Kelvin waves. These helical excitations couple vorticity to the quantum fluid causing long wavelength phonon…
Non-Hamiltonian Dynamics of Quantized Vortices in Bose-Einstein Condensates
Scott A. Strong, Lincoln D. Carr
The dynamics of quantized vortices in weakly interacting superfluids are often modeled by a nonlinear Schrödinger equation. In contrast, we show that quantized vortices in fact obe…
Generalized Local Induction Equation, Elliptic Asymptotics, and Simulating Superfluid Turbulence
Scott A. Strong, Lincoln D. Carr
We prove the generalized induction equation and the generalized local induction equation (GLIE), which replaces the commonly used local induction approximation (LIA) to simulate th…
Nonlinear Scattering of a Bose-Einstein Condensate on a Rectangular Barrier
Lincoln D. Carr, Rachel R. Miller, Daniel R. Bolton +1
We consider the nonlinear scattering and transmission of an atom laser, or Bose-Einstein condensate (BEC) on a finite rectangular potential barrier. The nonlinearity inherent in th…