Spatiotemporal self-similar waves for the (3+1)-dimensional inhomogeneous cubic-quintic nonlinear medium

被引:17
作者
Jiang, Li-Hong [1 ]
Wu, Hong-Yu [2 ]
机构
[1] Lishui Univ, Coll Comp & Informat Engn, Lishui 323000, Peoples R China
[2] Lishui Univ, Coll Math & Phys, Lishui 323000, Peoples R China
关键词
GINZBURG-LANDAU EQUATION; SCHRODINGER-EQUATION; OPTICAL SOLITONS;
D O I
10.1016/j.optcom.2010.12.023
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Spatiotemporal self-similar waves of the (3+1)-dimensional generalized nonlinear Schrodinger equation, describing propagation of optical pulses in a cubic-quintic nonlinear medium with inhomogeneous dispersion and gain, are derived. A one-to-one correspondence between such self-similar waves and solutions of the constant-coefficient cubic-quintic nonlinear Schrodinger equation exists when two certain compatibility conditions are satisfied. Under these conditions, we discuss dynamical behaviors of self-similar waves in dispersion decreasing fiber. (c) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2022 / 2026
页数:5
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