| （2＋1）维Burgers系统的周期孤立波解 |
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| 引用本文： | 傅海明,戴正德.（2＋1）维Burgers系统的周期孤立波解[J].周口师范学院学报,2012,29(2):1-4,8. |
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| 作者姓名： | 傅海明 戴正德 |
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| 作者单位： | 1. 广州华夏职业学院基础部,广东广州,510935
2. 云南大学数学与统计学院,云南昆明,650091 |
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| 基金项目： | 国家自然科学基金资助项目(No.10661002) |
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| 摘 要： | 将Hirota法中的测试函数用新的测试函数来替代，即利用扩展的Hirota法构造Burgers方程的新的周期孤波解、周期双孤波解、双周期双孤波解．显然，扩展的Hirota方法也可以解其他一些非线性发展方程．
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| 关 键 词： | Burgers方程 Hirota方法 周期波解 孤波解 |
Periodic wave solutions for Burgers equations |
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| FU Haiming,DAI Zhengde.Periodic wave solutions for Burgers equations[J].Journal of Zhoukou Normal University,2012,29(2):1-4,8. |
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| Authors: | FU Haiming DAI Zhengde |
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| Institution: | 1.Department of Basic Courses,Guangzhou Huaxia Technical College,Guangzhou 510935,China;2.Department of Mathematics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations.To be more precise,new text function is used instead of text function in Hirota method.By using the extended Hirota method,Burgers equation is solved an abundance of exact periodic-soliton wave solutions,periodic double soliton wave solutions,double periodic double soliton wave solutions.Obviously,the extended Hirota method can be applied to solve some other nonlinear evolution equations as well. |
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| Keywords: | Burgers equations Hirota method periodic wave solution soliton wave solution |
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