Computer algebra, Painleve analysis and the time-dependent-coefficient nonlinear Schrodinger equation

被引：27

作者：

Tian, B ^{[1
]}

Gao, YT ^{[1
]}

机构：

[1] LANZHOU UNIV,DEPT COMP SCI,LANZHOU 730000,PEOPLES R CHINA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 31卷 / 11期

关键词：

variable-coefficient nonlinear Schrodinger equation; computer algebra; Painleve analysis; mathematical methods in physics; Backlund transformation; exact solutions;

D O I：

10.1016/0898-1221(96)00068-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The variable-coefficient nonlinear Schrodinger equations describe certain physical systems with nonuniform backgrounds. In this paper, the application of the Painleve analysis and computer algebra leads to an auto-Backlund transformation and some special solutions to a general time-dependent coefficient version of the nonlinear Schrodinger equation.

引用

页码：115 / 119

页数：5

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