| Landau-Lifshitz方程的群不变解和守恒律 |
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| 引用本文： | 许斌,刘希强. Landau-Lifshitz方程的群不变解和守恒律[J]. 数学进展, 2011, 0(5) |
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| 作者姓名： | 许斌 刘希强 |
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| 作者单位： | 聊城大学数学科学学院; |
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| 基金项目： | 山东省自然科学基金(No.Y2007G64,No.Y2008A35) |
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| 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.
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| 关 键 词： | Landau-Lifshitz方程 李群方法 群不变解 守恒律 |
Group Invariant Solutions and Conservation Laws of Landau-Lifshitz Equation |
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| XU Bin,LIU Xiqiang. Group Invariant Solutions and Conservation Laws of Landau-Lifshitz Equation[J]. Advances in Mathematics(China), 2011, 0(5) |
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| Authors: | XU Bin LIU Xiqiang |
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| Affiliation: | XU Bin,LIU Xiqiang (School of Mathematical Science,Liaocheng University,Liaocheng,Shandong,252059,P.R.China) |
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| Abstract: | 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. |
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| Keywords: | Landau-Lifshitz equation Lie group method infinitesimal generator group invariant solutions conservation laws |
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