| 非线性弦振动的摄动法及其K-dV方程的孤波解 |
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| 引用本文： | 刘勇,刘廷国.非线性弦振动的摄动法及其K-dV方程的孤波解[J].南京理工大学学报(自然科学版),1989(2). |
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| 作者姓名： | 刘勇 刘廷国 |
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| 作者单位： | 华东工学院机械工程系
(刘勇)，华东工学院机械工程系(刘廷国) |
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| 摘 要： | 本文用摄动法导出了非线性弦振动的K-dV方程,讨论了只有耗散和色散的特殊情况,然后详细讨论了K-dV方程的孤波解的性态,并给出了非线性弦振动孤波的主要特征.
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| 关 键 词： | 摄动法[31CB] 非线性弦振动 孤波解 |
The Perturbation Method in Vibration of Nonlinear String and the Soutary Solution of K-dV Equation |
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| Liu Yong,Liu Tinguo..The Perturbation Method in Vibration of Nonlinear String and the Soutary Solution of K-dV Equation[J].Journal of Nanjing University of Science and Technology(Nature Science),1989(2). |
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| Authors: | Liu Yong Liu Tinguo |
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| Abstract: | This,paper derives the K-dV equation in thevibration of nonlinear string by meane of Pertutbation method.The specific case with only dispersive or dissipation is discus-sed,Then the properties of the solutions of solitarv waves inK-dV equation are stated in more detail, and the main features ofthe solitary waves iu K-dV equation are stated in more detail, andthe main features of the solitarv waves in nonlinear string aregiven. |
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| Keywords: | Perturbation method Nonlinear string Solitary wave |
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