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Phys. Rev. A 78, 063833 (2008) [7 pages]

Dark solitons on an intense parabolic background in nonlinear waveguides

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Lu Li1, Xuesong Zhao1, and Zhiyong Xu2
1College of Physics and Electronics Engineering, and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
2Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University, Canberra ACT, 0200, Australia

Received 27 May 2008; published 23 December 2008

We address the dynamics of fundamental and higher-order dark solitons on the intense parabolic background in a planar graded-index waveguide with self-defocusing nonlinearity. It is shown that dark solitons on the parabolic background can propagate stably, and feature the properties similar to dark solitons for standard nonlinear Schrödinger equation. We present an approximate solution for dark soliton on a parabolic background, and discuss its motion trajectory. In addition, the interaction between neighboring dark solitons on parabolic background is investigated.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.063833
DOI:
10.1103/PhysRevA.78.063833
PACS:
42.65.Tg, 42.65.Jx, 42.65.Wi
 
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