Home
For authors
Submission status

Current
Archive
Archive (English)
   Volumes 21-40
   Volumes 1-20
   Volumes 41-62
      Volume 62
      Volume 61
      Volume 60
      Volume 59
      Volume 58
      Volume 57
      Volume 56
      Volume 55
      Volume 54
      Volume 53
      Volume 52
      Volume 51
      Volume 50
      Volume 49
      Volume 48
      Volume 47
      Volume 46
      Volume 45
      Volume 44
      Volume 43
      Volume 42
      Volume 41
Search
VOLUME 62 (1995) | ISSUE 2 | PAGE 95
Self-focusing instability of two-dimensional solitons and vortices
The instability of two-dimensional solitons and vortices is demonstrated in the framework of the three-dimensional nonlinear Schrod-inger equation (NLSE). The instability can be regarded as the analog of the Kadomtsev-Petviashvili instability [В. B. Kadomtsev and V. I. Petviashvili, Sov. Phys. Dokl. 15, 539 (1970)] of one-dimensional acoustic solitons in media with positive dispersion. At large distances between vortices this instability transforms into the Crow instability [S.C. Crow, AIAA J. 8, 2172 (1970)] of two vortex filaments with opposite circulations. © 7995 American Institute of Physics.