| 浅水波动方程的一类尖孤立波解的轨道稳定性 |
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| 引用本文： | 郑珊. 浅水波动方程的一类尖孤立波解的轨道稳定性[J]. 广州航海高等专科学校学报, 2008, 16(4) |
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| 作者姓名： | 郑珊 |
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| 作者单位： | 广州航海高等专科学校基础部,广东,广州,510725 |
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| 摘 要： | 由非线性浅水波动方程Camassa-Holm方程的广义形式出发,研究了该方程及其尖孤立波解的特性,运用泛函分析中的思想证明了广义Camassa-Holm方程的尖孤立波解是轨道稳定的.
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| 关 键 词： | 浅水波动实验 Cam assa-Hohn方程 尖孤立波解 稳定性 |
ORBITAL STABILITY OF PEAKONS FOR A SHALOW WATER EQUATION |
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| ZHENG Shan. ORBITAL STABILITY OF PEAKONS FOR A SHALOW WATER EQUATION[J]. Journal of Guangzhou Maritime College, 2008, 16(4) |
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| Authors: | ZHENG Shan |
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| Affiliation: | ZHENG Shan(Division of Basic Science; Guangzhou Maritime College; Guangzhou Gungdong 510725; China); |
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| Abstract: | On the basis of the Camassa-Holm equation,the paper discusses the characteristics of a nonlinear shallow water wave equation,and its peaked solitary wave,solution,proves the orbital stabitity of peaked solitary wave solution for generalized Camassa-Holm equation with some ideas in functional analysis. |
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| Keywords: | experiment of shallow water wave Camassa-Holm Equation peaked solitary wave solution orbital stability |
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