Soliton structures in the (1+1)-dimensional Ginzburg-Landau equation with a parity-time-symmetric potential in ultrafast optics

doi:10.1088/1674-1056/27/3/030504

Abstract In this paper, the (1+1)-dimensional variable-coefficient complex Ginzburg-Landau (CGL) equation with a parity-time (PT) symmetric potential U(x) is investigated. Although the CGL equations with a PT-symmetric potential are less reported analytically, the analytic solutions for the CGL equation are obtained with the bilinear method in this paper. Via the derived solutions, some soliton structures are presented with corresponding parameters, and the influences of them are analyzed and studied. The single-soliton structure is numerically verified, and its stability is analyzed against additive and multiplicative noises. In particular, we study the soliton dynamics under the impact of the PT-symmetric potential. Results show that the PT-symmetric potential plays an important role for obtaining soliton structures in ultrafast optics, and we can design fiber lasers and all-optical switches depending on the different amplitudes of soliton-like structures.

Keywords: solitons parity-time symmetry Ginzburg-Landau equation bilinear method

Received: 30 September 2017
Revised: 10 November 2017
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11674036), the Beijing Youth Top-notch Talent Support Program, China (Grant No. 2017000026833ZK08), and the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) (Grant Nos. IPOC2016ZT04 and IPOC2017ZZ05).

Corresponding Authors: Wenjun Liu
E-mail: wjliu@iphy.ac.cn

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Wenyi Li(李文义), Guoli Ma(马国利), Weitian Yu(于维天), Yujia Zhang(张玉佳), Mengli Liu(刘孟丽), Chunyu Yang(杨春玉), Wenjun Liu(刘文军) Soliton structures in the (1+1)-dimensional Ginzburg-Landau equation with a parity-time-symmetric potential in ultrafast optics 2018 Chin. Phys. B 27 030504

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Soliton structures in the (1+1)-dimensional Ginzburg-Landau equation with a parity-time-symmetric potential in ultrafast optics

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