| 一类非线性演化方程的新精确周期解 |
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| 引用本文： | 孙建安,豆福全,段文山,吕克璞,石玉仁,洪学仁.一类非线性演化方程的新精确周期解[J].兰州理工大学学报,2005,31(5):134-137. |
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| 作者姓名： | 孙建安 豆福全 段文山 吕克璞 石玉仁 洪学仁 |
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| 作者单位： | 西北师范大学物理与电子工程学院,甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金（10247008,10475074） |
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| 摘 要： | 在原Jacobi椭圆函数展开法的基础上，又引进了其余几种Jacobi椭圆函数——G1aisher符号，扩展了Liu等提出的Jacobi椭圆函数展开法，并以mBBM方程和Gardner方程为例，借助数学软件——Mathamatica，求得了它们的一系列精确周期解，这些解在极限条件下可退化为孤立波解和三角函数解．
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| 关 键 词： | 非线性演化方程 Jacobi椭圆函数 周期解 孤立波解 |
| 文章编号： | 1000-5889(2005)05-0134-04 |
| 收稿时间： | 2004-08-01 |
| 修稿时间： | 2004年8月1日 |
New exact periodic solutions to a category of nonlinear evolution equations |
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| SUN Jian-an, DOU Fu-quan, DUAN Wen-shan, LU Ke-pu, SHI Yu-ren, HONG Xue-ren.New exact periodic solutions to a category of nonlinear evolution equations[J].Journal of Lanzhou University of Technology,2005,31(5):134-137. |
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| Authors: | SUN Jian-an DOU Fu-quan DUAN Wen-shan LU Ke-pu SHI Yu-ren HONG Xue-ren |
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| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | Based on the original expansion method of Jacobi elliptic function, other Jacobi elliptic funetions--Glaisher symbol are introduced and expansion method of Jacobi elliptic function presented by Liu is expanded. Taking the mBBM equation and Gardner equation as examples, a series of new exact periodic solutions are obtained for these equations is found with the help of mathematics software--Mathematica. These solutions can degenerate into solitary wave solutions or trigonometric function solutions under a critical condition. |
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| Keywords: | nonlinear evolution equation Jacobi elliptic function periodic wave solutions solitary wave solutions |
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