Exact solutions to the focusing nonlinear Schrodinger equation

被引：63
|
作者：
Aktosun, Tuncay [1 ]
Demontis, Francesco
van der Mee, Cornelis
机构：
[1] Univ Texas, Dept Math, Arlington, TX 76019 USA
[2] Univ Cagliari, Dept Math & Informat, I-09123 Cagliari, Italy
来源：
INVERSE PROBLEMS | 2007年 / 23卷 / 05期
关键词：
D O I：
10.1088/0266-5611/23/5/021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method is given to construct globally analytic (in space and time) exact solutions to the focusing cubic nonlinear Schrodinger equation on the line. An explicit formula and its equivalents are presented to express such exact solutions in a compact form in terms of matrix exponentials. Such exact solutions can alternatively be written explicitly as algebraic combinations of exponential, trigonometric and polynomial functions of the spatial and temporal coordinates.
引用
收藏
页码：2171 / 2195
页数：25
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