| 一种构造Burgers和KP方程孤立子解和周期解的方法 |
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| 引用本文： | 辛祥鹏,张琳琳. 一种构造Burgers和KP方程孤立子解和周期解的方法[J]. 聊城师院学报, 2009, 0(4): 16-20 |
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| 作者姓名： | 辛祥鹏 张琳琳 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 山东省自然科学基金资助项目（2008A35,Q2005A01） |
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| 摘 要： | 构造了非线性发展方程的孤立子解和周期解的形式，并且成功的用于求解（2＋1）维Burgers方程和（3＋1）KP方程，得到了这两个方程的一些行波解．
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| 关 键 词： | Burgers方程 KP方程 孤立子解 周期解 |
A Method for Constructing Soliton Solutions and Periodic Solutions of the Burgers and KP Equations |
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| XIN Xiang-Peng ZHANG Lin-Lin. A Method for Constructing Soliton Solutions and Periodic Solutions of the Burgers and KP Equations[J]. Journal of Liaocheng Teachers University(Natural Science Edition), 2009, 0(4): 16-20 |
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| Authors: | XIN Xiang-Peng ZHANG Lin-Lin |
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| Affiliation: | XIN Xiang-Peng ZHANG Lin-Lin (School of Mathematics Science, Liaocheng University, Liaocheng 252059 ,China) |
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| Abstract: | In this paper, we construct a frame solving soliton solutions and periodic solutions to nonlinear equations. We successfully solve the （2＋ D-dimensional Burgers and （3＋1）-Dimensional KP equation. And a lot of exact traveling solutions to the Burgers and KP equations are obtained. |
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| Keywords: | Burgers equation KP equation Soliton solution Periodic solution |
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