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Instability of two-dimensional solitons and vortices in defocusing media

E. A. Kuznetsov and J. Juul Rasmussen
Phys. Rev. E 51, 4479 – Published 1 May 1995
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Abstract

In the framework of the three-dimensional nonlinear Schrödinger equation the instability of two-dimensional solitons and vortices is demonstrated. The soliton instability can be considered as the analog of the Kadomtsev-Petviashvili instability (Dokl. Akad. Nauk SSSR 192, 753 (1970) [Sov. Phys. Dokl. 15, 539 (1970)]) of one-dimensional acoustic solitons in media with positive dispersion. For large distances between the vortices, this instability transforms into the Crow instability [AIAA J. 8, 2172 (1970)] of two vortex filaments with opposite circulations.

  • Received 22 December 1994

DOI:https://doi.org/10.1103/PhysRevE.51.4479

©1995 American Physical Society

Authors & Affiliations

E. A. Kuznetsov and J. Juul Rasmussen

  • Landau Institute for Theoretical Physics, 2 Kosygin street, Moscow 117334, Russia
  • Department of Optics and Fluid Dynamics, Riso/ National Laboratory, DK-4000 Roskilde, Denmark

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Vol. 51, Iss. 5 — May 1995

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