Exact solutions of space-time dependent non-linear Schrodinger equations

被引：4

作者：

Ruan, HY ^{[1
]}

Li, HJ

Chen, YX

机构：

[1] Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China

[2] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 09期

关键词：

symmetry transformations; space-time dependent equations; optical solitons;

D O I：

10.1002/mma.486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a general symmetry approach we establish transformations between different non-linear spacetime dependent evolution equations of Schrodinger type and their respective solutions. As a special case we study the transformation of the standard non-linear Schrodinger equation (NLS)-equation to a NLS-equation with a dispersion coefficient which decreases exponentially with increasing distance along the fiber. By this transformation we construct from well known solutions of the standard NLS-equation some new exact solutions of the NLS-equation with dispersion. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1077 / 1087

页数：11

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