| 一个修正的Benjamin方程的行波解的存在性 |
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| 引用本文： | 黄丽容.一个修正的Benjamin方程的行波解的存在性[J].应用泛函分析学报,2009,11(4):330-333. |
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| 作者姓名： | 黄丽容 |
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| 作者单位： | 福建金融职业技术学院信息技术系,福州,350007 |
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| 摘 要： | 运用集中紧性和Nehari约束方法，证明了对任意L〉0和c〉0，修正的Benjamin方程
ηt＋（f（η））x＋LHηxx＋ηxxx=0,x,t／∈R
有一个孤立波η（x,t）=u（x-ct）.
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| 关 键 词： | 修正的Benjamin方程 行波 |
Existence of Traveling Wave Solution of a Modified Benjamin's Equation |
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| HUANG Li-rong.Existence of Traveling Wave Solution of a Modified Benjamin's Equation[J].Acta Analysis Functionalis Applicata,2009,11(4):330-333. |
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| Authors: | HUANG Li-rong |
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| Institution: | HUANG Li-rong(Department of Information Tethnology, Fujian College of Financial Technology, Fuzhou 350007, China) |
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| Abstract: | Using concentration compactness methods and Nehari constraints method, we prove that for any L > 0 and any c > 0, the modified Benjamin's equationη+(f(η))_(x)+L η_(xx)+η_(xxx)=0, x,t＼∈Rpossesses a traveling wave solution η(x,t)=u(x-ct). |
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| Keywords: | modified Benjamin's equation traveling wave solution |
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