Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: a variational approach.
L.A. Cisneros-Ake, R. Carretero-González, and P.G. Kevrekidis.
Submitted Aug 2019. PDF.
Animations depicting the dynamics of dark soliton stripes (DSSs) in the defocusing nonlinear Schrödinger (NLS).
The background image depicts the spatial evolution of the magnitude of the field ensuing from the full NLS model
while the adiabatic invariant (AI) and improved variational approach (VA) predictions are overlaid using, respectively,
the dark blue dotted curve and the green solid line.
Movie#1: [ MPEG ] Single DSS perturbed by the first transverse mode. See Fig. 3 in the manuscript.
Movie#2: [ MPEG ] Single DSS perturbed by the second transverse mode. See Fig. 4 in the manuscript.
Movie#3: [ MPEG ] Single DSS perturbed by a linear combination of the first ten transverse modes. See Fig. 5 in the manuscript.
Movie#4: [ MPEG ] Two interacting DSSs perturbed by the first transverse mode. See Fig. 6 in the manuscript.
Movie#5: [ MPEG ] Two interacting DSSs perturbed by a linear combination of the first ten transverse modes. See Fig. 7 in the manuscript.
Movie#6: [ MPEG ] Two interacting DSSs but for an asymmetric perturbation where the left DSS is unperturbed and
the right DSS is perturbed by the first transverse mode with amplitude 0.01. See top series of panels in Fig. 8 in the manuscript.
Movie#7: [ MPEG ] Two interacting DSSs but for an asymmetric perturbation where the left DSS is unperturbed and
the right DSS is perturbed by the first transverse mode with amplitude 0.001. See bottom series of panels in Fig. 8 in the manuscript.