| 非线性波动方程的孤波解及余弦周期波解 |
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| 引用本文： | 张卫国,刘刚,任迎春.非线性波动方程的孤波解及余弦周期波解[J].上海理工大学学报,2008,30(1):15-21. |
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| 作者姓名： | 张卫国 刘刚 任迎春 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市重点学科建设项目
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上海市教委资助项目 |
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| 摘 要： | 利用假设待定法,求出了非线性波动方程的具有双曲正割函数分式形式且渐近值不为零的精确孤波解和余弦函数周期波解,并分别讨论了它们的有界性,揭示了行波波速改变对钟状孤波解与余弦函数周期波解波形变化的影响.
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| 关 键 词： | 非线性波动方程 孤波解 余弦函数周期波解 |
| 文章编号： | 1007-6735(2008)01-0015-07 |
| 修稿时间： | 2007年1月18日 |
Solitary wave solutions and periodic cosine wave solutions of nonlinear wave equations |
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| ZHANG Wei-guo,LIU Gang,REN Ying-Chun.Solitary wave solutions and periodic cosine wave solutions of nonlinear wave equations[J].Journal of University of Shanghai For Science and Technology,2008,30(1):15-21. |
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| Authors: | ZHANG Wei-guo LIU Gang REN Ying-Chun |
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| Abstract: | The exact solitary wave solutions in the fractional form of hyperbolic secant function and the periodic wave solutions in the form of cosine function for nonlinear wave equations are obtained by use of undetermined assumption method.The bounded properties of these solutions are provided detailedly. The correlative characteristics between the exact solitary wave solutions and the periodic cosine wave solutions,as the traveling wave velocity varies,are revealed. |
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| Keywords: | nonlinear wave equation solitary wave solution periodic cosine wave solutions |
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