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The Bright Soliton Solutions of Two Variable-Coefficient Coupled Nonlinear Schr¨odinger Equations in Optical Fibers

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The Bright Soliton Solutions of Two Variable-Coefficient Coupled Nonlinear Schr¨odinger Equations in Optical Fibers

Deng-Shan Wanga,cand Yifang Liub

aCEMA and CIAS, Central University of Finance and Economics, Beijing, 100081, China

bSchool of Economics, Central University of Finance and Economics, Beijing, 100081, China

cBNLCMP, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China Reprint requests to D.-S. W.; E-mail: wangdsh1980@yahoo.com.cn

Z. Naturforsch.65a,71 – 77 (2010); received October 13, 2008 / revised March 21, 2009

In this paper, with the aid of symbolic computation the bright soliton solutions of two variable- coefficient coupled nonlinear Schr¨odinger equations are obtained by Hirota’s method. Some figures are plotted to illustrate the properties of the obtained solutions. The properties are meaningful for the investigation on the stability of soliton propagation in the optical soliton communications.

Key words:Hirota’s Method; Symbolic Computation; Bright Soliton Solution; Coupled Nonlinear Schr¨odinger Equations.

PACS numbers:02.30.Ik, 47.35.Fg, 02.30.Jr

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