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Exact chirped multi-soliton solutions of the nonlinear Schrodinger equation with varying coefficients

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Abstract

In this letter, exact chirped multi-soliton solutions of the nonlinear Schrodinger (NLS) equation with varying coefficients are found. The explicit chirped one- and two-soliton solutions are generated. As an example, an exponential distributed control system is considered, and some main features of solutions are shown. The results reveal that chirped soliton can all be nonlinearly compressed cleanly and efficiently in an optical fiber with no loss or gain, with the loss, or with the gain. Furthermore, under the same initial condition, compression of optical soliton in the optical fiber with the loss is the most dramatic. Also, under nonintegrable condition and finite initial perturbations, the evolution of chirped soliton has been demonstrated by simulating numerically.

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所属栏目:Fiber optics and optical communications

收稿日期:2004-03-23

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Ruiyu Hao:Department of Electronics and Information Technology, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi UniversityThe State Key Subject of Optics, Shanxi University, Taiyuan 030006
Lu Li:Department of Physics, and Institute of Theoretical Physics, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi UniversityThe State Key Subject of Optics, Shanxi University, Taiyuan 030006
Rongcao Yang:Department of Electronics and Information Technology, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi UniversityThe State Key Subject of Optics, Shanxi University, Taiyuan 030006
Zhonghao Li:Department of Electronics and Information Technology, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi UniversityThe State Key Subject of Optics, Shanxi University, Taiyuan 030006
Guosheng Zhou:Department of Electronics and Information Technology, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi UniversityThe State Key Subject of Optics, Shanxi University, Taiyuan 030006

联系人作者:Ruiyu Hao(haoruiyu@sxu.edu.cn)

备注:This work was supported by the National Natural Science Foundation of China (No. 60477026), and the Provincial Youth Science Foundation of Shanxi (No. 20011015). R. Hao's e-mail address is haoruiyu@sxu.edu.cn

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引用该论文

Ruiyu Hao, Lu Li, Rongcao Yang, Zhonghao Li, Guosheng Zhou, "Exact chirped multi-soliton solutions of the nonlinear Schrodinger equation with varying coefficients," Chinese Optics Letters 3(3), 136-139 (2005)

被引情况

【1】刘山亮,郑宏军. 光脉冲在标准单模光纤中演化形成孤子的实验研究. 光学学报, 2006, 26(9): 1313-1318

【2】郝瑞宇,周国生. 暗孤子的周期性再生效应. 光学学报, 2008, 28(s1): 131-133

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