Multidimensional Solitons: Theory

  • L. D. Carr
  • J. Brand

The one-dimensional solitons described in Parts II and III of this book can be extended into two and three dimensions. Such extensions are generally unstable [1]. However, in the tightly confined geometries associated with trapped Bose-Einstein condensates (BECs) both bright and dark solitons extended into two and three dimensions can be stabilized for times longer than the lifetime of experiments [2–4]. BECs offer the opportunity to tune a matter-wave gradually from one to two and to three dimensions [5, 6]. In the crossover regimes, new nonlinear objects can appear, such as the svortex, a solitary wave which is a soliton-vortex hybrid [7, 8]. The general question of crossover dimensions is an intriguing one in physics.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • L. D. Carr
    • 1
  • J. Brand
    • 2
  1. 1.Colorado School of MinesGoldenUSA
  2. 2.Massey UniversityAucklandNew Zealand

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