Evolution of rarefaction pulses into vortex rings

Natalia G. Berloff

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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.

Original languageEnglish
Article number174518
Pages (from-to)1745181-1745185
Number of pages5
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
Publication statusPublished - 1 May 2002
Externally publishedYes


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