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

中国物理B ›› 2018, Vol. 27 ›› Issue (3): 30504-030504.doi: 10.1088/1674-1056/27/3/030504

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

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)

1 State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2017-09-30 修回日期:2017-11-10 出版日期:2018-03-05 发布日期:2018-03-05
通讯作者: Wenjun Liu E-mail:wjliu@iphy.ac.cn
基金资助:
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).

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

Wenyi Li(李文义)^1,2, Guoli Ma(马国利)^1,2, Weitian Yu(于维天)¹, Yujia Zhang(张玉佳)¹, Mengli Liu(刘孟丽)^1,2, Chunyu Yang(杨春玉)¹, Wenjun Liu(刘文军)^1,2

1 State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Received:2017-09-30 Revised:2017-11-10 Online:2018-03-05 Published:2018-03-05
Contact: Wenjun Liu E-mail:wjliu@iphy.ac.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: solitons, parity-time symmetry, Ginzburg-Landau equation, bilinear method

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.

Key words: solitons, parity-time symmetry, Ginzburg-Landau equation, bilinear method

中图分类号: (Solitons)

05.45.Yv

42.65.Tg (Optical solitons; nonlinear guided waves)

李文义, 马国利, 于维天, 张玉佳, 刘孟丽, 杨春玉, 刘文军. Soliton structures in the (1+1)-dimensional Ginzburg-Landau equation with a parity-time-symmetric potential in ultrafast optics[J]. 中国物理B, 2018, 27(3): 30504-030504.

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[J]. Chin. Phys. B, 2018, 27(3): 30504-030504.

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

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

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