|
|||||
|
|
| 弦的非线性振动摄动法及其K—dV方程的孤波解 | |
| 引用本文： | 张瑞萍 孙家驹. 弦的非线性振动摄动法及其K—dV方程的孤波解[J]. 力学季刊, 1996, 17(3): 233-238 |
| 作者姓名： | 张瑞萍 孙家驹 |
| 作者单位： | 西安石油学院(张瑞萍)，西北建筑工程学院(孙家驹) |
| 摘 要： | 本文用摄动法导出了弦的非线性振动的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，并给出了弦的非线性振动孤波的主要特征。 |
| 关 键 词： | 振动法 非线性振动 孤波解 |
THE PERTURBATION METHOD FOR NONLINEAR VIBRATION OF THE STRING AND THE SOLUTION OF SOLITARY WAVE OF K-dV EQUATION |
|
| Zhang Ruiping. THE PERTURBATION METHOD FOR NONLINEAR VIBRATION OF THE STRING AND THE SOLUTION OF SOLITARY WAVE OF K-dV EQUATION[J]. Chinese Quarterly Mechanics, 1996, 17(3): 233-238 | |
| Authors: | Zhang Ruiping |
| Affiliation: | Zhang Ruiping (Xian Petroleum Institute)Sun Jiaju (Northwestern Institute of Architectural Eginecring) |
| Abstract: | The K -dV equation of nonlinear vibration of the string is derived by means of perturbation method. The specific case with only dispersion or dissipation is also discussed. The properties of the solutions of solitary waves in K-dV equation are stated in more detail. The main features of the solitary waves in nonlinear string are given. |
| Keywords: | Perturbation method Nonlinear vibration of the string Solution of solitary wave. |
| 本文献已被 CNKI 维普 等数据库收录！ | |