| 一类广义Camassa-Holm方程的相图分析 |
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| 引用本文： | 李静,孙敏.一类广义Camassa-Holm方程的相图分析[J].北京工业大学学报,2010,36(10). |
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| 作者姓名： | 李静 孙敏 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124;北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，北京市自然科学基金资助项目 |
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| 摘 要： | 为了研究一类广义Camassa-Holm方程的行波解问题,通过行波变换及平面非线性动力系统的分岔理论,借助Maple符号计算软件程序,研究了一类广义Camassa-Holm方程的分岔特性,给出了该系统在不同分支参数空间中的相图构型.
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| 关 键 词： | 相图构成 广义Camassa-Holm方程 行波变换 |
Phase Portraits of a Generalized Camassa-Holm Equation |
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| LI Jing,SUN Min.Phase Portraits of a Generalized Camassa-Holm Equation[J].Journal of Beijing Polytechnic University,2010,36(10). |
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| Authors: | LI Jing SUN Min |
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| Affiliation: | LI Jing,SUN Min(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | In order to conduct research on traveling wave solutions of a generalized Camassa-Holm equation,a bifurcations of a generalized Camassa-Holm equation is considered in this paper by using the transformation of traveling wave,bifurcation theory of planar dynamical system and the Maple symbolic computation program.Different phase portraits of the system in different regions are obtained. |
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| Keywords: | phase composition generalized Camassa-Holm equation transform of traveling wave |
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