| 非线性弦振动方程的新精确解 |
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| 引用本文： | 朱加民,徐天均.非线性弦振动方程的新精确解[J].丽水学院学报,2004,26(5):34-36. |
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| 作者姓名： | 朱加民 徐天均 |
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| 作者单位： | 1. 丽水学院,物理系,浙江,丽水,323000
2. 上虞下管中学,浙江,上虞,212362 |
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| 摘 要： | 利用改进的tanh函数法，将非线性弦振动方程化为一阶非线性常微分方程组。通过求解这个非线性常微分方程组，获得了非线性弦振动方程的新精确类孤子解、三角函数解、复数解。这种方法也适用于求解其他非线性发展方程。
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| 关 键 词： | 非线性弦振动 弦振动方程 精确解 tanh函数 类孤子解 三角函数解 复数解 |
| 文章编号： | 1008-6749(2004)05-0034-03 |
| 修稿时间： | 2004年2月16日 |
The New Exact Solutions to the Equation of Nonlinear Vibrating String |
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| Zhu Jiamin,Xu Tianjun.The New Exact Solutions to the Equation of Nonlinear Vibrating String[J].Journal of Lishui University,2004,26(5):34-36. |
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| Authors: | Zhu Jiamin Xu Tianjun |
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| Institution: | Zhu Jiamin~1,Xu Tianjun~2 |
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| Abstract: | With the improved tanh-function method, the equations of nonlinear vibrating string are reduced to first-order nonlinear ordinary differential equations. By solving the equations a class of exact solitary wave solitary solutions, triangle function solutions and complex solutions are obtained. It indicates that the method is also suitable for solving other nonlinear evolution equations. |
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| Keywords: | improved tanh-function method soliton-like solutions complex solutions |
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