Landau-Lifshitz方程的群不变解和守恒律  

Group Invariant Solutions and Conservation Laws of Landau-Lifshitz Equation

作　　者：许斌[1] 刘希强[1] 

机构地区：[1]聊城大学数学科学学院,聊城山东252059

出　　处：《数学进展》2011年第5期575-579,共5页Advances in Mathematics（China）

基　　金：山东省自然科学基金(No.Y2007G64;No.Y2008A35)

摘　　要：利用经典李群方法得到了Landau-Lifshitz方程不变群的无穷小生成元,验证其对换位运算构成一个七维的李代数,得到了对应的群不变解,建立了Landau-Lifshit,z新解和旧解之间的关系.同时利用对称和共轭方程组求得了Landau-Lifshitz方程的守恒律.In this paper, infinitesimal generator and group invariant solutions to Landau- Lifshitz equation via the classical Lie group method have been obtained, at the same time corresponding Lie algebra and the relations between new solutions and olds have been found. At the same time, we also give the conservation laws of Landau-Lifshitz equation by symmetries and the adjoint equations.

关 键 词：Landau.Lifshitz方程 李群方法 群不变解 守恒律 

分 类 号：O175.2[理学—数学]