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VOLUME 62 | ISSUE 2 | PAGE 95
Self-focusing instability of two-dimensional solitons and vortices
In the framework of the three-dimensional nonlinear Schrodinger equation (NLSE) the instability of two-dimensional solitons and vertices is demonstrated. The instability can be considered as the analog of the Kadomtsev-PetviashvjH instability [1] of one-dimensional acoustic solitons in media with positive dispersion. For large distance between the vortices this instability transforms into the Grow instability [6] of two vortex filaments with opposite circulations.