Evolution of rarefaction pulses into vortex rings

Details Evolution of rarefaction pulses into vortex rings Evolution of rarefaction pulses into vortex rings

2001-07-06

arxiv.org/abs/cond-mat/0107148v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 5 figures

Scientific paper

10.1103/PhysRevB.65.174518

The two-dimensional solitary waves of the Gross-Pitaevskii equation in the Kadomtsev-Petviashvili limit are unstable with respect to three-dimensional perturbations. We elucidate the stages in the evolution of such solutions subject to perturbations perpendicular to the direction of motion. Depending on the energy (momentum) and the wavelength of the perturbation different types of three-dimensional solutions emerge. In particular, we present new periodic solutions having very small energy and momentum per period. These solutions also become unstable and this secondary instability leads to vortex ring nucleation.

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