| Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation |
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| 作者姓名： | LIU Jian-guo LI Ye-zhouSchool of Science Beijing University of Posts and Telecommunications Beijing China |
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| 作者单位： | LIU Jian-guo，LI Ye-zhouSchool of Science，Beijing University of Posts and Telecommunications，Beijing 100876，China |
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| 摘 要： | 1 Introduction Of late, a research directly seeking for exact solutions of nonlinear evolution equations (NLEEs) has become increasingly attractive, because of their applications in many important scientific problems and the availability of symbolic compu…
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| 关 键 词： | transformations Ginzburg–Landau equation symbolic computation variable coefficient |
| 收稿时间： | 23 December 2005 |
Transformations for the variable coefficient Ginzburg Landau equation with symbolic computation |
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| LIU Jian-guo,LI Ye-zhouSchool of Science,Beijing University of Posts and Telecommunications,Beijing ,China.Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation[J].The Journal of China Universities of Posts and Telecommunications,2006,13(3):98-101. |
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| Authors: | LIU Jian-guo LI Ye-zhou |
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| Affiliation: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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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 ans(a)tz, four transformations, reduction of the vcGL equation to the standard and cylindrical nonlinear Schr(o)dinger 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. |
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| Keywords: | transformations Ginzburg-Landau equation symbolic computation variable coefficient |
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