In this paper, we discussed the behavior of bright soliton solutions to the NLS equation and their interactions then investigated dark solitons and their formation within an attractive potential and applied them to Bose-Einstein Condensation using fast and efficient finite difference scheme. We report numerical results for intersite collisions between solitons in the discrete nonlinear Schrodinger model. We systematically examine the dependence of the collision outcome on initial velocity and amplitude of the solitons, as well as on the phase shift between them, and location of the collision point relative to the lattice.

Date Published: 5 March 2008
PDF: 7 pages
Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70090G (5 March 2008); doi: 10.1117/12.793329

Published in SPIE Proceedings Vol. 7009:
Second International Conference on Advanced Optoelectronics and Lasers
Igor A. Sukhoivanov; Vasily A. Svich; Yuriy S. Shmaliy, Editor(s)