| 用(G′/G)-展开法求解Ginzburg-Landau方程 |
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| 引用本文： | 李灵晓,王明亮,李保安.用(G′/G)-展开法求解Ginzburg-Landau方程[J].河南科技大学学报(自然科学版),2008,29(6). |
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| 作者姓名： | 李灵晓 王明亮 李保安 |
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| 作者单位： | 1. 河南科技大学,理学院,河南,洛阳,471003
2. 兰州大学,数学系,甘肃,兰州,730000 |
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| 基金项目： | 河南省教育厅自然科学基金，河南科技大学校科研和教改项目 |
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| 摘 要： | 利用最近提出的(G′/G)-展开法, 获得了Ginzburg-Landau方程更多的显式行波解, 分别以含两个任意参数的双曲函数、三角函数及有理函数表示,当参数取特殊值时,可得到以往文献中相关结果.
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| 关 键 词： | Ginzburg-Landau方程 (G′/G)-展开法 显式行波解 齐次平衡 |
Solving Ginzburg-Landau Equation by (G'/G)-expansion Method |
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| LI Ling-Xiao,WANG Ming-Liang,LI Bao-An.Solving Ginzburg-Landau Equation by (G'/G)-expansion Method[J].Journal of Henan University of Science & Technology:Natural Science,2008,29(6). |
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| Authors: | LI Ling-Xiao WANG Ming-Liang LI Bao-An |
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| Institution: | LI Ling-Xiao1,WANG Ming-Liang1,2,LI Bao-An1 (1. Science College,Henan University of Science & Technology,Luoyang 471003,China,2. Department of Mathematics,Lanzhou University,Lanzhou 730000,China) |
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| Abstract: | By using the (G'/G)-expansion method recently proposed,more exact travelling wave solutions of the Ginzburg-Landau equation are successfully obtained.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions contained double arbitrary parameters.When the parameters are taken as special values,the known corresponding results in previous reference are rederived. |
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| Keywords: | Ginzburg-Landau equation (G\'/G)-expansion method Exact travelling wave solution Homogeneous balance |
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