| 非线性发展方程的丰富的Jacobi椭圆函数解 |
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| 引用本文： | 吕大昭.非线性发展方程的丰富的Jacobi椭圆函数解[J].物理学报,2005,54(10):4501-4505. |
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| 作者姓名： | 吕大昭 |
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| 作者单位： | 北京建筑工程学院基础部，北京 100044 |
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| 基金项目： | 北京建筑工程学院基础科学基金(批准号：1004048)资助的课题. |
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| 摘 要： | 通过把十二个Jacobi椭圆函数分类成四组，提出了新的广泛的Jacobi椭圆函数展开法，利用这一方法求得了非线性发展方程的丰富的Jacobi椭圆函数双周期解.当模数m→0或1时，这些解退化为相应的三角函数解或孤立波解和冲击波解.
关键词：
非线性发展方程
Jacobi椭圆函数
双周期解
行波解
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| 关 键 词： | 非线性发展方程 Jacobi椭圆函数 双周期解 行波解 |
| 文章编号： | 1000-3290/2005/54（10）/4501-05 |
| 收稿时间： | 08 26 2004 12:00AM |
| 修稿时间： | 2004-08-262005-02-21 |
Abundant Jacobi elliptic function solutions of nonlinear evolution equations |
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| Lü Da-Zhao.Abundant Jacobi elliptic function solutions of nonlinear evolution equations[J].Acta Physica Sinica,2005,54(10):4501-4505. |
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| Authors: | Lü Da-Zhao |
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| Institution: | Department of Basic Sciences, Beijing Institute of Civil Engineering and Architecture, Beijing 100044, China |
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| Abstract: | In this paper, the twelve Jacobi elliptic functions are divided into four groups, and a new general Jacobi elliptic function expansion method is proposed to construct abundant doubly periodic Jacobi elliptic function solutions of nonlinear evolution equations. By this method, many exact doubly periodic solutions are obtained which shows the powerfulness of this method. When the modulus m→1 or 0, these solutions degenerate to the corresponding solitary wave solutions, shock wave solutions or trigonometric function (singly periodic) solutions. |
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| Keywords: | nonlinear evolution equation Jacobi elliptic function doubly periodic solution travelling solution |
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