29 citations · 60 across the 3 of their papers we have counts for
3 papers
cond-mat.other2014★ 29 cited
Scattering and leapfrogging of vortex rings in a superfluid
R. M. Caplan, J. D. Talley, R. Carretero-Gonzalez +1
The dynamics of vortex ring pairs in the homogeneous nonlinear Schrödinger equation is studied. The generation of numerically-exact solutions of traveling vortex rings is described…
math.NA2011★ 2 cited
A Two-Step High-Order Compact Scheme for the Laplacian Operator and its Implementation in an Explicit Method for Integrating the Nonlinear Schrödinger Equation
R. M. Caplan, R. Carretero
We describe and test an easy-to-implement two-step high-order compact (2SHOC) scheme for the Laplacian operator and its implementation into an explicit finite-difference scheme for…
nlin.PS2008★ 29 cited
Azimuthal Modulational Instability of Vortices in the Nonlinear Schrödinger Equation
R. M. Caplan, Q. E. Hoq, R. Carretero-González +1
We study the azimuthal modulational instability of vortices with different topological charges, in the focusing two-dimensional nonlinear Schr{ö}dinger (NLS) equation. The method o…