Two-dimensional dark soliton in the nonlinear Schroedinger equation
arXiv:nlin/0607072 · doi:10.1016/j.physleta.2006.07.039
Abstract
Two-dimensional gray solitons to the nonlinear Schroedinger equation are numerically created by two processes to show its robustness. One is transverse instability of a one-dimensional gray soliton, and another is a pair annihilation of a vortex and an antivortex. The two-dimensional dark solitons are anisotropic and propagate in a certain direction. The two-dimensional dark soliton is stable against the head-on collision. The effective mass of the two-dimensional dark soliton is evaluated from the motion in a harmonic potential.
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References in corpus (8)
- Vortices in a Bose-Einstein Condensate
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Motion of dark solitons in trapped Bose-Einstein condensates
- Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
- Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps
- Scattering of Solitons and Dark Solitons by Potential Walls in the Nonlinear Schroedinger Equation