| 非线性弦振动方程的精确解 |
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| 引用本文： | 司军辉,刘艳伟. 非线性弦振动方程的精确解[J]. 河南教育学院学报(自然科学版), 2009, 18(4): 3-4. DOI: 10.3969/j.issn.1007-0834.2009.04.002 |
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| 作者姓名： | 司军辉 刘艳伟 |
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| 作者单位： | 周口师范学院数学与信息科学系,河南周口,466000;周口师范学院数学与信息科学系,河南周口,466000 |
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| 基金项目： | 周口师范学院青年科研基金 |
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| 摘 要： | 借助一个推广形式的Riccati方程组,得到了非线性弦振动方程新的精确解,包括各种形式的孤立子解,此种方法同样也适用于求解其他非线性偏微分方程．
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| 关 键 词： | Riccati方程组 非线性弦振动方程 精确解 |
New Exact Solutions for Equation of Nonlinear Vibrating String |
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| SI Junhui,LIU Yanwei. New Exact Solutions for Equation of Nonlinear Vibrating String[J]. Journal of Henan Education Institute(Natural Science Edition), 2009, 18(4): 3-4. DOI: 10.3969/j.issn.1007-0834.2009.04.002 |
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| Authors: | SI Junhui LIU Yanwei |
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| Affiliation: | ( Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466000, China) |
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| Abstract: | Get a new exact solution to the equation of nonlinear vibrating string equations by using a generalized Riccati equations. It includes various kinds of soliton solutions. The method is also suitable for solving other nonlinear partial differential equations. |
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| Keywords: | Riccati equations equation of nonlinear vibrating string exact solutions |
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