Dark multi-soliton solution of the nonlinear Schrodinger equation with non-vanishing boundary

被引：4
|
作者：
Cai, H [1 ]
Liu, FM [1 ]
Huang, NN [1 ]
机构：
[1] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2005年 / 44卷 / 02期
基金：
中国国家自然科学基金;
关键词：
dark soliton; nonlinear equation; multi-soliton solution;
D O I：
10.1007/s10773-005-1691-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The inverse scattering transform for the nonlinear Schrodinger equation in normal dispersion with non-vanishing boundary values is re-examined using an affine parameter to avoid double-valued functions. An operable algebraic procedure is developed to evaluate dark multi-soliton solutions. The dark two-soliton solution is given explicitly as an example, and is verified by direct substitution. The additional motion of the soliton center is given by its asymptotic behavior.
引用
收藏
页码：255 / 265
页数：11
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