| 1+1维Boussinesq系统的对称及其不变群 |
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| 引用本文： | 江祥花.1+1维Boussinesq系统的对称及其不变群[J].山东理工大学学报,2009,23(5):36-39. |
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| 作者姓名： | 江祥花 |
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| 作者单位： | 镇江市高等专科学校教师教育系; |
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| 摘 要： | 主要考虑1+1维Boussinesq系统的一些简单对称,得到一个4维对称李代数和它的一组基,并利用对称约化的方法将1+1维Boussinesq系统化为常微分方程组,从而由该系统的一个已知解得到依赖于单参数ε的一族解.
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| 关 键 词： | 1+1维Boussinesq系统 微分方程的对称 对称Lie代数 不变群 |
Symmetries and invariable group of 1+1-dimentional Boussinesq system |
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| JIANG Xiang-hua.Symmetries and invariable group of 1+1-dimentional Boussinesq system[J].Journal of Shandong University of Technology:Science and Technology,2009,23(5):36-39. |
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| Authors: | JIANG Xiang-hua |
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| Institution: | Department of Education;Zhengjiang College;Danyang 212300;China |
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| Abstract: | Some simple symmetries of 1+1 dimentional Boussinesq were considered and a 4 Uygur symmetrical Lie algebra and its group of bases were obtained.1+1 Uygur Boussinesq was systematized into simultaneous differential equation using symmetrical reduced method.Thus a single parameter race solution was obtained by this system's known solution. |
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| Keywords: | 1+1 dimentional Boussinesq system differential equation symmetry symmetrical Lie algebra invariable group |
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