| （2＋1）维Boussinesq方程的混合型指数函数解和三角函数周期解 |
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| 引用本文： | 丁玉敏. （2＋1）维Boussinesq方程的混合型指数函数解和三角函数周期解[J]. 西南民族学院学报(自然科学版), 2009, 35(6): 1104-1108 |
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| 作者姓名： | 丁玉敏 |
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| 作者单位： | 红河学院数学系,云南蒙自661100 |
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| 基金项目： | 云南省教育厅自然科学基金资助项目 |
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| 摘 要： | 本文利用指数函数展开法，研究了（2＋1）-维Boussinesq方程，在一个特定的变换下，借助于数学软件的符号运算功能，获得了（2＋1）-维Boussinesq方程的混合型指数函数解和三角函数周期解．当参数变化时，一些混合型指数函数解包含了奇异的和非奇异的孤子解．
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| 关 键 词： | (2+1)-维Boussinesq方程 指数函数展开法 混合型指数函数解 奇异的孤子解 |
Solutions of mixed exp-function and periodic solutions of triangle function to (2+1)-Dimensional Boussinesq Equation |
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| DING Yu-min. Solutions of mixed exp-function and periodic solutions of triangle function to (2+1)-Dimensional Boussinesq Equation[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(6): 1104-1108 |
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| Authors: | DING Yu-min |
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| Affiliation: | DING Yu-min (Department of Mathematics, Honghe University, Mengzi 661100, ER.C.) |
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| Abstract: | In this paper, by using exp-function method, the （2＋1）-dimensional Boussinesq equation is studied. Under a special transformation, by using Mple, many new solutions of mixed exp-function and periodic solutions of triangle function are obtained. Some solutions of mixed exp-function include singular and non-singular soliton solution when the parameters vary. |
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| Keywords: | （2＋1）-Dimensional Boussinesq exp-function method solution of mixed exp-function |
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