Dynamics of Nonautonomous Dark Solitons  

Dynamics of Nonautonomous Dark Solitons

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作  者:LIU Chong YANG Zhan-Ying ZHANG Ming ZHANG Tao YANG Wen-Li YUE Rui-Hong 

机构地区:[1]Department of Physics, Northwest University, Xi'an 710069, China [2]Institute of Modern Physics, Northwest University, Xi'an 710069, China [3]Faculty of Science, Ningbo University, Ningbo 315211, China

出  处:《Communications in Theoretical Physics》2013年第6期703-710,共8页理论物理通讯(英文版)

基  金:Supported by the National Natural Science Foundation of China under Grant Nos. 10975180, 11047025, and 11075126 and the Applied nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province

摘  要:We solve a generalized nonautonomous nonlinear Schrodinger equation analytically by performing the Hirota's bilinearization method. The precise expression of a parameter e, which provides a compatibility condition and dark soliton management, is obtained. Comparing with nonautonomous bright soliton, we find that the gain parameter affects both the background and the valley of dark soliton (∈2 ≠ 1) while it has no effects on the wave central position. Moreover, the precise expressions of a nonautonomous black soliton's (∈2 = 1) width, background and the trajectory of its wave central, which describe the dynamic behavior of soliton's evolution, are investigated analytically. Finally, the stability of the dark soliton solution is demonstrated numerically. It is shown that the main characteristic of the dark solitons keeps unchanged under a slight perturbation in the compatibility condition.

关 键 词:nonautonomous dark soliton soliton management nonlinear fiber 

分 类 号:TN25[电子电信—物理电子学] Q141

 

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