| 广义Boussinesq方程孤立尖波解的不存在性 |
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| 引用本文： | 张本龚,刘正荣. 广义Boussinesq方程孤立尖波解的不存在性[J]. 华南理工大学学报(自然科学版), 2007, 35(8): 118-122 |
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| 作者姓名： | 张本龚 刘正荣 |
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| 作者单位： | 华南理工大学,数学科学学院,广东,广州,510640;华南理工大学,数学科学学院,广东,广州,510640 |
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| 摘 要： | 利用微分方程定性理论和动力系统分支方法,对一类广义Boussinesq方程的孤立尖波解的存在性进行了研究.给出了该方程对应的行波系统的分支相图,并利用相图证明了该方程不存在孤立尖波解
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| 关 键 词： | 广义Boussinesq方程 孤立波 尖波解 分支相图 |
| 文章编号： | 1000-565X（2007）08-0118-05 |
| 修稿时间： | 2006-11-29 |
Nonexistence of Solitary Peakon Solution to a Generalized Boussinesq Equation |
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| Zhang Ben-gong,Liu Zheng-rong. Nonexistence of Solitary Peakon Solution to a Generalized Boussinesq Equation[J]. Journal of South China University of Technology(Natural Science Edition), 2007, 35(8): 118-122 |
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| Authors: | Zhang Ben-gong Liu Zheng-rong |
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| Affiliation: | School of Mathematical Science, South China Univ. of Tech. , Guangzhou 510640, Guangdong, China |
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| Abstract: | In this paper,the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to investigate the existence of the solitary peakon solution to a generalized Boussinesq equation.In the investigation,the bifurcation phase portraits of the corresponding traveling wave system are given,which are then adopted to prove the nonexistence of the solitary peakon solution to the equation. |
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| Keywords: | generalized Boussinesq equation solitary wave peakon solution bifurcation phase portrait |
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