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

Jun Chai; Bo Tian; Han-Peng Chai

doi:10.1117/1.OE.55.11.116113

29 November 2016 Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics

Jun Chai, Bo Tian, Han-Peng Chai

Author Affiliations +

Optical Engineering, Vol. 55, Issue 11, 116113 (November 2016). https://doi.org/10.1117/1.OE.55.11.116113

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.

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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," Optical Engineering 55(11), 116113 (29 November 2016). https://doi.org/10.1117/1.OE.55.11.116113

Published: 29 November 2016

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