Movies accompanying the paper:
An Adiabatic Invariant Approach to Transverse Instability:
Landau Dynamics of Soliton Filaments.
Wenlong Wang,
P.G. Kevrekidis,
R. Carretero-González, and
D.J. Frantzeskakis.
Phys. Rev. Lett. 118 (2017) 244101.
PDF.
Animations depicting the dynamics ensuing from the
destabilization of the ring dark soliton from the
full PDE dynamics.
For approximately the first half of
the depicted evolution we overlay (see green line) the
prediction from our reduced dynamics approach based on the
adiabatic invariant.
Movie#1:
[ avi ]
Dark soliton with an initial azimuthally dependent radius given by
R(θ)=2.8+0.1cos(θ)+3x10-7cos(8θ).
Movie#2:
[ avi ]
Dark soliton with an initial azimuthally dependent radius given by
R(θ)=2.4+0.1cos(2θ).