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Optical Engineering • new

Solitons for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in the inhomogeneous parity-time-symmetric coupler with gain or loss
Author(s): Xiao-Yu Wu; Bo Tian; Xi-Yang Xie; Jun Chai; He Li; Yan Jiang
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Paper Abstract

Under investigation is the (3+1)-dimensional coupled nonlinear Schrödinger equations, which describe the propagation of the soliton in the inhomogeneous parity-time (PT)-symmetric coupler with gain or loss. Employing the Hirota method and symbolic computation, we obtain the one- and two-soliton solutions under a variable-coefficient constraint. Bäcklund transformation and the corresponding one-soliton solutions are derived. Via graphic analysis, we observe the linear-, parabolic-, and periodic-shaped solitons with different values of the self-phase modulation and cross-phase modulation. Increase of the diffraction and dispersion leads to the increase of both the soliton amplitudes and the velocities. However, ϱ(z) and γ do not affect the soliton amplitude and velocity, with ϱ(z) being the coupling between the modes propagating in the two fibers and γ describing the PT-balanced gain or loss.

Paper Details

Date Published: 22 August 2017
PDF: 8 pages
Opt. Eng. 56(8) 086108 doi: 10.1117/1.OE.56.8.086108
Published in: Optical Engineering Volume 56, Issue 8
Show Author Affiliations
Xiao-Yu Wu, Beijing Univ. of Posts and Telecommunications (China)
Bo Tian, Beijing Univ. of Posts and Telecommunications (China)
Xi-Yang Xie, Beijing Univ. of Posts and Telecommunications (China)
Jun Chai, Beijing Univ. of Posts and Telecommunications (China)
He Li, Beijing Univ. of Posts and Telecommunications (China)
Yan Jiang, Beijing Univ. of Posts and Telecommunications (China)


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