| 实五次Swift-Hohenberg方程的精确行波解 |
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| 引用本文： | 梁坚,施业琼,韩松.实五次Swift-Hohenberg方程的精确行波解[J].广西工学院学报,2008,19(4). |
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| 作者姓名： | 梁坚 施业琼 韩松 |
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| 作者单位： | 柳州城市职业学院,成人教育学院教务科,广西,柳州,545001;广西工学院,信计系,广西,柳州,545006 |
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| 基金项目： | 广西自然科学基金
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广西教育厅科研项目
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| 摘 要： | 在寻找非线性偏微分方程的孤波解中,齐次平衡法是一个很强大的工具.通过应用齐次平衡法,取得了实五次Swift-Hohenberg(RQSH)方程的一系列新的精确波解,这些解包括孤立波解、扭结波解、三角周期波解、奇异扭结波解等.
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| 关 键 词： | 齐次平衡法 实五次Swift-Hohenberg(RQSH)方程 孤立渡解 扭结波解 周期波解 |
New exact solutions of real quintic Swift-Hohenberg equation by homogeneous balance method |
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| LIANG Jian,SHI Ye-qiong,HAN Song.New exact solutions of real quintic Swift-Hohenberg equation by homogeneous balance method[J].Journal of Guangxi University of Technology,2008,19(4). |
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| Authors: | LIANG Jian SHI Ye-qiong HAN Song |
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| Affiliation: | LIANG Jian1,SHI Ye-qiong2,HAN Song2(1.Adult Education School,Liuzhou City Vocational Institute,Liuzhou 545001,China,2.Information , Computing Science Department,Guangxi University of Technology,Liuzhou 545006,China) |
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| Abstract: | The homogeneous balance method is a very powerful tool in finding the solitary wave solutions for nonlinear partial differential equations.By the homogeneous balance method,we obtain a series of exact wave solutions for the real quintic Swift-Hohenberg(RQSH) equation,including solitary wave solutions,kink wave solutions,periodic wave solutions,and singular kink wave solutions. |
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| Keywords: | homogeneous balance method RQSH equation solitary wave solution kink wave solution periodic wave solution |
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