Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation

被引：2

作者：

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China ^{[1
]}

机构：

[1] School of Science, Beijing University of Posts and Telecommunications

来源：

J. China Univ. Post Telecom. | 2006年 / 3卷 / 98-101期

关键词：

Ginzburg-Landau equation; Symbolic computation; Transformations; Variable coefficient;

D O I：

10.1016/S1005-8885(07)60020-X

中图分类号：

学科分类号：

摘要：

This article is devoted to seek the solutions of the variable coefficient Ginzburg-Landau (vcGL) equation. With the help of symbolic computation and a direct ansätz, four transformations, reduction of the vcGL equation to the standard and cylindrical nonlinear Schrödinger equation, which have been found as variety of analytic solutions were obtained. Substituting these solutions into those transformations, the corresponding analytic solutions for the vcGL were obtained.

引用

页码：98 / 101

页数：3

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