| 一般变换下双Jacobi椭圆函数展开法及应用 |
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| 引用本文： | 吴国将,韩家骅,史良马,张苗.一般变换下双Jacobi椭圆函数展开法及应用[J].物理学报,2006,55(8):3858-3863. |
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| 作者姓名： | 吴国将 韩家骅 史良马 张苗 |
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| 作者单位： | 安徽大学物理与材料科学学院,合肥 230039 |
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| 基金项目： | 安徽省自然科学基金，安徽省精品课程建设项目 |
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| 摘 要： | 将行波变换下修正的双Jacobi椭圆函数展开法推广到范围广泛的一般函数变换下进行.利用这一方法求得了一类非线性方程更多新的周期解，这些解包括了在行波变换下所求得的周期解.
关键词：
Jacobi椭圆函数展开法
非线性发展方程
函数变换
周期解
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| 关 键 词： | Jacobi椭圆函数展开法 非线性发展方程 函数变换 周期解 |
| 文章编号： | 1000-3290/2006/55(08)/3858-06 |
| 收稿时间： | 11 11 2005 12:00AM |
| 修稿时间： | 2005-11-112006-04-25 |
Double Jacobian elliptic function expansion method under a general function transform and its applications |
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| Wu Guo-Jiang,Han Jia-Hua,Shi Liang-Ma,Zhang Miao.Double Jacobian elliptic function expansion method under a general function transform and its applications[J].Acta Physica Sinica,2006,55(8):3858-3863. |
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| Authors: | Wu Guo-Jiang Han Jia-Hua Shi Liang-Ma Zhang Miao |
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| Institution: | School of Physics and Material Science, Anhui University, Hefei 230039, China |
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| Abstract: | A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. Some new exact periodic solutions are obtained by this method which include previous solutions, replenishing the known results of the equations. |
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| Keywords: | Jacobian elliptic function expansion method nonlinear evolution equation function transform periodic solution |
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