摘要
We discuss the nonlinear Schr6dinger equation with variable coefficients in 21） graded-index waveguides with different distributed transverse diffractions and obtain exact bright and dark soliton solutions. Based on these solutions, we mainly investigate the dynamical behaviors of solitons in three different diffraction decreasing waveguides with the hyperbolic, Gaussian and Logarithmic profiles. Results indicate that for the same parameters, the amplitude of bright solitons in the Logarithmic profile and the amplitude of dark solitons in the Gaussian profile are biggest respectively, and the amplitude in the hyperbolic profile is smallest, while the width of solitons has the opposite case.
基金
Supported by the Higher School Visiting Scholar Development Project under Grant No.FX2013103
the Research Fund under Grant No.ZCI2XJY003
Research Fund for the Doctoral Program under Grant No.Z301B13519 of the Zhejiang University of Media and Communications
Zhejiang Province Science Foundation for Youths under Grant No.LQ12F05005
National Natural Science Foundation of China under Grant No.11374254
