Lasers, Fiber Optics, and Communications

Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics

[+] Author Affiliations
Jun Chai, Bo Tian, Han-Peng Chai

Beijing University of Posts and Telecommunications, State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing 100876, China

Opt. Eng. 55(11), 116113 (Nov 29, 2016). doi:10.1117/1.OE.55.11.116113
History: Received September 7, 2016; Accepted October 31, 2016
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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.

Figures in this Article
© 2016 Society of Photo-Optical Instrumentation Engineers

Topics

Solitons

Citation

Jun Chai ; Bo Tian and Han-Peng Chai
"Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics", Opt. Eng. 55(11), 116113 (Nov 29, 2016). ; http://dx.doi.org/10.1117/1.OE.55.11.116113


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