| Boussinesq方程的周期波解 |
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| 引用本文： | 傅海明,戴正德,谭学文.Boussinesq方程的周期波解[J].曲阜师范大学学报,2009,35(4):19-22. |
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| 作者姓名： | 傅海明 戴正德 谭学文 |
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| 作者单位： | 云南大学数学与统计学院,云南省昆明市650091 |
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| 基金项目： | 国家自然科学基金，云南省自然科学基金 |
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| 摘 要： | 扩展了Hirota法以构造Boussinesq方程的新的周期波解，即将Hirota法中的测试函数用新的测试函数来替代．显然扩展的Hirota方法也可以解其他类型的非线性演化方程．
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| 关 键 词： | Boussinesq方程 Hirota方法 周期波解 |
Periodic Wave Solutions for Boussinesq Equation |
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| FU Hai-ming,DAI Zheng-de,TAN Xue-wen.Periodic Wave Solutions for Boussinesq Equation[J].Journal of Qufu Normal University(Natural Science),2009,35(4):19-22. |
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| Authors: | FU Hai-ming DAI Zheng-de TAN Xue-wen |
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| Institution: | (College of Mathematics ＆ Statistics, Yunnan University, 650091, Kunming, Yunnan, PRC) |
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| Abstract: | Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations. To be more precise, anew test function is used instead of test function in Hirota method. By using the extended Hirota method, Boussinesq equation is solved an abundance of exact solutions. Obviously, the extended Hirota method can be applied to solve other type of nonlinear evolution equations as well. |
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| Keywords: | Boussinesq equation Hirota method periodic wave solutions |
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