1+1维Boussinesq系统的对称及其不变群  

Symmetries and invariable group of 1+1-dimentional Boussinesq system

作　　者：江祥花[1] 

机构地区：[1]镇江市高等专科学校教师教育系,江苏丹阳212300

出　　处：《山东理工大学学报（自然科学版）》2009年第5期36-39,共4页Journal of Shandong University of Technology:Natural Science Edition

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.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.

关 键 词：1+1维Boussinesq系统 微分方程的对称 对称Lie代数 不变群 

分 类 号：O175.4[理学—数学]