| BBM型方程的孤波解及其稳定性 |
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| 引用本文： | 尚亚东.BBM型方程的孤波解及其稳定性[J].延安大学学报(自然科学版),1999,18(4):11-13. |
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| 作者姓名： | 尚亚东 |
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| 作者单位： | 西安石油学院基础部!陕西西安，710065 |
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| 摘 要： | 用直接方法获得了广义的BBM 型方程的显式精确孤波解,探讨了其孤波解在无穷小扰动下的稳定性,证明了BBM 型方程的孤波解在李亚普诺夫意义下是个稳定的。
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| 关 键 词： | BBM型方程 孤波解 无穷小扰动 不稳定 直接方法 |
Solitary Wave Solutions and its Stability to the BBM Type Equation |
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| Shang Yadong.Solitary Wave Solutions and its Stability to the BBM Type Equation[J].Journal of Yan'an University(Natural Science Edition),1999,18(4):11-13. |
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| Authors: | Shang Yadong |
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| Abstract: | In this paper, explicit and exact solitary wave solutions to the BBM type equation are obtained by the direct method, and the stability of solitary wave with a infinitesimal perturbation are investigated. It is shown that solitary wave for the BBM type equation is unstable in the Lyaqunov sense. |
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| Keywords: | BBM type equations solitary wave solutions infinitesimal perturbation unstable direct method |
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