基于李群李对称方法求解一类偏微分方程  

Solving a kind of partial differential equations by Lie group Lie symmetry

作　　者：张晓莉[1] 赵小山[1] 

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《天津师范大学学报（自然科学版）》2011年第4期20-22,26,共4页Journal of Tianjin Normal University：Natural Science Edition

基　　金：天津市自然科学基金资助项目(08JCYBJC12100)

摘　　要：基于李群李对称方法求解一类偏微分方程,得到方程的对称约化和精确解及幂级数解等.A kind of nonlinear partial differential equations is solved by the Lie symmetry analysis and group classifications.As a result the symmetry reduction and some new exact solutions have been obtained,including the power series solution and so on.

关 键 词：李对称分析 幂级数 精确解 相似约化 

分 类 号：O175.2[理学—数学]