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Optical Engineering

Dark soliton collisions of a discrete Ablowitz–Ladik equation for an electrical/optical system
Author(s): Xi-Yang Xie; Bo Tian; Xiao-Yu Wu; Yan Jiang
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Paper Abstract

Investigation in this paper is a discrete Ablowitz–Ladik equation, which has certain applications in the electrical and optical systems. Based on the Hirota method, bilinear forms, dark one- and two-soliton solutions for such an equation are obtained. Soliton propagation and collision are graphically presented and analyzed: Dark one soliton is shown to maintain its original amplitude and width during the propagation, and discrete peaks of the propagating soliton are displayed. Overtaking collision between the two solitons with the different amplitudes is observed, and solitons have the same traveling direction with their amplitudes, velocities, and widths unchanged. A head-on collision between the two solitons is illustrated, and shapes of the two solitons keep invariant except for some phase shifts. Asymptotic analysis shows that the collision between the two solitons is elastic.

Paper Details

Date Published: 25 October 2016
PDF: 4 pages
Opt. Eng. 55(10) 106122 doi: 10.1117/1.OE.55.10.106122
Published in: Optical Engineering Volume 55, Issue 10
Show Author Affiliations
Xi-Yang Xie, Beijing Univ. of Posts and Telecommunications (China)
Bo Tian, Beijing Univ. of Posts and Telecommunications (China)
Xiao-Yu Wu, Beijing Univ. of Posts and Telecommunications (China)
Yan Jiang, Beijing Univ. of Posts and Telecommunications (China)


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