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

Acta Metallurgica Sinica(English letters)

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

收稿日期:2005-12-23 修回日期:1900-01-01 出版日期:2006-09-30

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

LIU Jian-guo, LI Ye-zhou

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2005-12-23 Revised:1900-01-01 Online:2006-09-30
Contact: LIU Jian-guo

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Abstract: 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.

Key words: transformations;Ginzburg–Landau equation;symbolic computation;variable coefficient

中图分类号:

TN929.11

LIU Jian-guo, LI Ye-zhou. Transformations for the variable coefficient Ginzburg– Landau equation with symbolic computation[J]. Acta Metallurgica Sinica(English letters), doi: .

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

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

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