| 一维复系数Swift-Hohenberg方程的精确解 |
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| 引用本文： | 王志林,纪峰波. 一维复系数Swift-Hohenberg方程的精确解[J]. 兰州大学学报(自然科学版), 2005, 41(3): 110-113 |
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| 作者姓名： | 王志林 纪峰波 |
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| 作者单位： | 1. 兰州师范高等专科学校,数学系,甘肃,兰州,730070
2. 兰州大学,数学与统计学院,甘肃,兰州,730000 |
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| 摘 要： | 复平面上的标准的耗散系统可以利用Swift-Hohenberg方程来描述,它是物理学中很重要的一个方程,在激光的对流问题和流体力学中有广泛地应用.利用F-展开式方法,得到一维复系数的Swift-Hohenberg方程的新精确解.
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| 关 键 词： | F-展开式方法 精确解 孤立波解 Jacobi椭圆函数 Swift-Hohenberg方程 |
| 文章编号： | 0455-2059(2005)03-0110-04 |
The exact solutions to one-dimension Swift-Hohenberg equations with complex coefficients |
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| WANG Zhi-lin,JI Feng-bo. The exact solutions to one-dimension Swift-Hohenberg equations with complex coefficients[J]. Journal of Lanzhou University(Natural Science), 2005, 41(3): 110-113 |
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| Authors: | WANG Zhi-lin JI Feng-bo |
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| Abstract: | Swift-Hohenberg equations can be used to discribe the standard dissipation system in a complex plane. It is an important equation in physics and applied extensively in the laser convection and fluid mechenics. By using the F-expansion method, new exact solutions to one-dimension Swift-Hohenberg equations were obtained. |
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| Keywords: | F-expansion method exact solution solitary solution Jacobi elliptic function Swift-Hohenberg equation |
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