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Optical Engineering

Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics
Author(s): Jun Chai; Bo Tian; Han-Peng Chai
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Paper Abstract

Efforts have been put into investigating a variable-coefficient coherently coupled nonlinear Schrödinger system with the alternate signs of nonlinearities, describing the propagation of the waves in the nonlinear birefringent optical fiber. Via the Lax pair, Darboux transformation for the system is derived. Then, we derive the vector one- and two-soliton solutions. Figures are displayed to help us study the properties of the vector solitons: with the strength of the four-wave mixing terms γ(t) as a constant, the vector soliton propagates with the unvarying velocity and amplitude; with γ(t) being a time-dependent function, amplitude and velocity of the vector soliton keep varying during the propagation; bell- and M-shaped solitons can both be observed in q2 mode, while we just observe the bell-shaped soliton in q1 mode, where q1 and q2 are the two slowly varying envelopes of the propagating waves; head-on and overtaking interactions between the vector two solitons are both presented.

Paper Details

Date Published: 29 November 2016
PDF: 5 pages
Opt. Eng. 55(11) 116113 doi: 10.1117/1.OE.55.11.116113
Published in: Optical Engineering Volume 55, Issue 11
Show Author Affiliations
Jun Chai, Beijing Univ. of Posts and Telecommunications (China)
Bo Tian, Beijing Univ. of Posts and Telecommunications (China)
Han-Peng Chai, Beijing Univ. of Posts and Telecommunications (China)


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