Exact chirped multi-soliton solutions of the nonlinear Schr(o|¨)dinger equation with varying coefficients  

作　　者：郝瑞宇 李录 杨荣草 李仲豪 周国生 

机构地区：[1]Department of Electronics and Information Technology State Key Laboratory of Quantum Optics and Quantum Optics Devices The State Key Subject of Optics [2]Department of Physics

出　　处：《Chinese Optics Letters》2005年第3期136-139,共4页中国光学快报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (No. 60477026), the Provincial Youth Science Foundation of Shanxi (No. 20011015).

摘　　要：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.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.

关 键 词：Exact chirped multi-soliton solutions of the nonlinear Schr dinger equation with varying coefficients 

分 类 号：O431.2[机械工程—光学工程]