Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation

被引:12
|
作者
Sturdevant, Benjamin J. M.
Lott, Dawn A. [1 ,2 ,3 ]
Biswas, Anjan [1 ]
机构
[1] Delaware State Univ, Dept Appl Math & Theoret Phys, Ctr Res & Educ Opt Sci & Applicat, Dover, DE 19901 USA
[2] Delaware State Univ, Appl Math Res Ctr, Ctr Res & Educ Opt Sci & Applicat, Dept Biol Sci, Dover, DE 19901 USA
[3] Delaware State Univ, Appl Math Res Ctr, Ctr Res & Educ Opt Sci & Applicat, Dept Math, Dover, DE 19901 USA
关键词
Dark solitons; Attenuation; Riemann integrability; SCHRODINGER-EQUATION;
D O I
10.1016/j.cnsns.2008.12.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the dark or topological optical 1-soliton solution of the nonlinear Schrodinger's equation is obtained. The time-dependent coefficients of the group velocity dispersion, Kerr nonlinearity and the attenuation terms are considered This leads to the constraint. relation between these coefficients for the topological solitons to exist. All what is necessary is that these time-dependent coefficients be simply Riemann integrable. (C) 2008 Elsevier B.V. All rights reserved
引用
收藏
页码:3305 / 3308
页数:4
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