Interaction of the nonautonomous soliton in the optical fiber

Investigated in this paper is a generalized nonautonomous nonlinear Schrödinger equation with both external potential and phase modulation, which can be used to described the nonautonomous soliton in the optical fiber. With our results as follows: Lax pair, Daboux transformation, condition of the mo...

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Bibliographic Details
Published in:Optik (Stuttgart) 2016-12, Vol.127 (23), p.11282-11287
Main Authors: Zuo, Da-Wei, Jia, Hui-Xian
Format: Article
Language:English
Subjects:
Darboux transformation
Nonautonomous soliton
Optical fiber
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Summary:Investigated in this paper is a generalized nonautonomous nonlinear Schrödinger equation with both external potential and phase modulation, which can be used to described the nonautonomous soliton in the optical fiber. With our results as follows: Lax pair, Daboux transformation, condition of the modulation instability and N−soliton solutions have been obtained; Propagation and interaction of the solitons have been analysed: (1) the group velocity and linear potential affect the direction and trajectory of one/two solitons′ propagation, respectively; (2) two solitons have the same average velocity at some fixed time or a period.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2016.09.022