Suppression of transverse instabilities of dark solitons and their dispersive shock waves
Physical Review A—Atomic, Molecular, and Optical Physics, 2009•APS
We investigate the impact of nonlocality, owing to diffusive behavior, on transverse
instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal
response turns out to have a strongly stabilizing effect both in the case of a single soliton
input and in the regime where dispersive shock waves develop (multisoliton regime). Such
conclusions are supported by the linear stability analysis and numerical simulation of the
propagation.
instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal
response turns out to have a strongly stabilizing effect both in the case of a single soliton
input and in the regime where dispersive shock waves develop (multisoliton regime). Such
conclusions are supported by the linear stability analysis and numerical simulation of the
propagation.
We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the case of a single soliton input and in the regime where dispersive shock waves develop (multisoliton regime). Such conclusions are supported by the linear stability analysis and numerical simulation of the propagation.
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