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Analytic study on the bright and dark solitons for a $(3+1)$-dimensional coupled nonlinearSchr"{o}dinger system in nonlinear optical fibres
Wang Hongguang *
The department of information engineering, Hebei Chemical and Pharmaceutical College, Shijiazhuang 050026
*Correspondence author
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Funding: none
Opened online:24 June 2014
Accepted by: none
Citation: Wang Hongguang.Analytic study on the bright and dark solitons for a $(3+1)$-dimensional coupled nonlinearSchr"{o}dinger system in nonlinear optical fibres[OL]. [24 June 2014] http://en.paper.edu.cn/en_releasepaper/content/4600449
 
 
Under investigation in this paper is a $(3+1)$-dimensional coupled nonlinear Schr"{o}dinger system, which describes the dynamics of solitons formed by the pulse envelopes respectively along the orthogonal fast and slow birefringence axes in the bulk Kerr and saturable media in nonlinear optical fibres. Via the symbolic computation and Hirota method, analytic bright one- and dark one-soliton solutions for such a system are obtained. Graphic description of the soliton properties is illustrated. Through the analysis on bright and dark one-soliton properties, it can be found that the bright soliton amplitude and dark soliton width depend on the index of refraction: when the value of the index of refraction increases, bright soliton amplitude become larger and dark soliton width become larger.
Keywords:Nonlinear optical fibres;Symbolic computation;(3+1)-dimensional couplednonlinear Schrodinger System; Bright and dark soliton; Hirota method
 
 
 

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