共查询到20条相似文献,搜索用时 62 毫秒
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利用外微分形式系统和Lie代数表示理论提出了求解非线性波方程Lax对的延拓结构理论,该方法是构造非线性波方程Lax对的系统最有效的方法.其关键在于如何给出延拓代数的具体表示,如微分算子表示或矩阵表示.如果一个非线性波方程具有非平凡的延拓代数,则称其延拓代数可积,本篇论文主要利用延拓结构理论,讨论KdV方程的解,同时给出... 相似文献
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重新考察虑了,最早由Pakdemirli [Pakdemirli M.Proceedings of the Institution of Mechanical Engineers,Part C :Journal of Mechanical Engineering Science,2009 ,223(5):1113-1116]提出的描述最小阻力功的路径方程.将Lie群理论应用于一般方程,提出了关系任意高程函数群的分类.利用对称性,确定群不变解,并利用正则坐标,降低方程的阶次. 相似文献
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本文研究户田晶格方程的延拓结构.利用非交换微分和求差分微分方程延拓结构的方法,得到户田晶格方程的拉克斯对. 相似文献
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SL(3,C)中一类子群的可解群的结构与Fuchs方程的可积性 总被引:1,自引:1,他引:0
给出了SL(3,C)的一类子群中具有两个生成元的可解群的结构,并应用于方程W"'-λp(z)w'=0.对此方程,由Fuchs方程的单值群的可解性与其可积性的关系,得到了几个结果. 相似文献
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In this article, we generalize the Shirshov's Composition Lemma by replacing the monomial order for others. By using Gröbner–Shirshov bases, the normal forms of HNN extension of a group and the alternating group are obtained. 相似文献
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Using a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group G, each connected component of the set E_n(G)of all elements of order n in G is a conjugacy class in G. In particular, all conjugacy classes of finite order in G are closed. Some properties of connected components of E_n(G) are also given. 相似文献
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本文改进了J .G .Thompson在JournalofCombinatorialTheory ,1 (1 96 6 )中得到的一个有用的引理的结果 . 相似文献
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This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated
Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups
if and only if its Deligne complex is a Gromov hyperbolic space. For a two-dimensional Artin group the Deligne complex is
Gromov hyperbolic precisely when the corresponding Davis complex is Gromov hyperbolic, that is, precisely when the underlying
Coxeter group is a hyperbolic group. For Artin groups of FC type we give a sufficient condition for hyperbolicity of the Deligne
complex which applies to a large class of these groups for which the underlying Coxeter group is hyperbolic. The key tool
in the proof is an extension of the Milnor-Svarc Lemma which states that if a group G admits a discontinuous, co-compact action by isometries on a Gromov hyperbolic metric space, then G is weakly hyperbolic relative to the isotropy subgroups of the action.
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Karlheinz Grö chenig Michael Leinert 《Journal of the American Mathematical Society》2004,17(1):1-18
We prove non-commutative versions of Wiener's Lemma on absolutely convergent Fourier series (a) for the case of twisted convolution and (b) for rotation algebras. As an application we solve some open problems about Gabor frames, among them the problem of Feichtinger and Janssen that is known in the literature as the ``irrational case'.
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It is often said that the Morse-Bott Lemma can be viewed as a “parameterized” Morse Lemma, and its proof should follow from the differentiability of the methods used to prove the Morse Lemma. The goal of this expository paper is to fill in the details. We present Palais' proof of the Morse Lemma using Moser's path method, which yields the necessary differentiability. 相似文献
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Green's Lemma [1, Lemma 2.2] is one of the most important theorems in the theory of semigroups. The main purpose of this note is to establish a generalized Green's Lemma and a generalized Clifford and Miller's Theorem [1, p. 59] in linear semigroups. A generalized Green's Lemma describes the behavior of certain mappings between two distinct D-classes. 相似文献
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一 引言 考虑k个p维总体X_1,X_2,…,X_k。假定它们都服从正态分布,其均值向量分别是(ξ_(1i),ξ_(2i),…,ξ_(pi)),i=1,2,…,k,且具有共同的协方差矩阵∑=(σ_(ij)),i,j=1,2,…,p。考虑矩阵 相似文献
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