学术
广义变系数Burgers方程的精确解
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石玉仁[1,2] 汪映海[1] 杨红娟[2] 吕克璞[2] 段文山[2]
[1]兰州大学理论物理研究所,兰州730000 [2]西北师范大学物理与电子工程学院,兰州730070
国际标准刊号：ISSN 1000-5641
国内统一刊号：CN 31-1298
摘 要:
对双曲函数法进行了扩展，利用它找到了广义变系数Burgers方程在一定条件下的若干精确解，包括变速孤立波解和周期波解，许多解为首次所得．实例表明在对变系数偏微分方程的求解中，该法仍然是一种简便易行的方法．[著者文摘]
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文章出处:
《华东师范大学学报：自然科学版》-2006年5期 -27-33页
Journal of East China Normal University(Natural Science)
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1000-5641（2006）05-0027-07
Exact Solutions of Generalized Burgers＇ Equation with Variable Coefficients
SHI Yu-ren, WANG Ying-hai, YANG Hong-juan, Lfi Ke-pu, DUAN Wen-shan （1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; 2. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China）
Abstract:
This paper found some exact solutions of Burgers＇ equation with variable coefficients by the hyperbola function method, including solitary wave periodic solutions. Some of the solutions were derived for the first time. The that this approach is simple and efficient even for solving partial differential variable coefficients. solutions and results showed equations with variable coefficients.[著者文摘]
Key words:
hyperbola function method equation; exact solution generalized variable coefficient Burgers
收稿日期: 2005-05
基金资助:
国家自然科学基金（10247008）
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