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SUBALGEBRAS: 作品数：33被引量：18H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘晓奇周飞跃刘金旺更多>>; 相关机构：湘潭师范学院更多>>; 相关期刊：《Communications in Theoretical Physics》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Applied Mathematics》更多>>; 相关基金：国家自然科学基金山东省自然科学基金更多>>

Applications of cnoidal and snoidal wave solutions via optimal system of subalgebras for a generalized extended (2+1)-D quantum Zakharov-Kuznetsov equation with power-law nonlinearity in oceanography and ocean engineering: 《Journal of Ocean Engineering and Science》2024年第2期126-153,共28页Oke Davies Adeyemo; The nonlinear evolution equations have a wide range of applications,more precisely in physics,biology,chemistry and engineering fields.This domain serves as a point of interest to a large extent in the world’s mathem...; 关键词：A generalized extended(2+1)-dimensional quantum Zakharov-Kuznetsov equation Lie point symmetries Optimal system of subalgebras Cnoidal and snoidal waves Extended Jacobi function expansion technique Conservation laws

Infinite-dimensional necklace Lie algebras and some finite-dimensional important subalgebras: 《Frontiers of Mathematics in China》2023年第5期353-365,共13页Demin YU Caihui LU; In this paper,a new infinite-dimensional necklace Lie algebra is studied and the left and right index arrays of a necklace word in necklace Lie algebra is first defined.Using the left and right index arrays,we divide ...; 关键词：Necklace Lie algebra left and right index arrays SUBALGEBRA

On the Construction and Classification of the Common Invariant Solutions for Some P(1,4) -Invariant Partial Differential Equations: 《Applied Mathematics》2023年第11期728-747,共20页Vasyl M. Fedorchuk Volodymyr I. Fedorchuk; We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inhomoge...; 关键词：Symmetry Reduction Classification of Invariant Solutions Common Invariant Solutions The Eikonal Equations The Euler-Lagrange-Born-Infeld Equations The Monge-Ampère Equations Classification of Lie Algebras Nonconjugate Subalgebras Poincaré Group P(1 4)

Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering: 《Communications on Applied Mathematics and Computation》2022年第4期1531-1582,共52页Oke Davies Adeyemo Chaudry Masood Khalique; the North-West University,Mafikeng campus for its continued support.; Having realized various significant roles that higher-dimensional nonlinear partial differ-ential equations(NLPDEs)play in engineering,we analytically investigate in this paper,a higher-dimensional soliton equation,wi...; 关键词：Higher-dimensional soliton equation Lie group analysis One-dimensional optimal system of Lie subalgebras Exact soliton solutions Conserved currents

Maximal von Neumann subalgebras arising from maximal subgroups: 《Science China Mathematics》2021年第10期2295-2312,共18页Yongle Jiang; the National Science Center(NCN)(Grant No.2014/14/E/ST1/00525);Institute of Mathematics,Polish Academy of Sciences(IMPAN)from the Simons Foundation(Grant No.346300);the Matching 2015-2019 Polish Ministry of Science and Higher Education(MNiSW)Fund,and the Research Foundation-Flanders-Polish Academy of Sciences(FWO-PAN).; Ge(2003)asked the question whether LF∞can be embedded into LF2 as a maximal subfactor.We answer it affirmatively with three different approaches,all containing the same key ingredient:the existence of maximal subgrou...; 关键词：maximal von Neumann subalgebra maximal subfactor maximal subgroup highly transitive action rigid subalgebra

The realization of positive definite matrices via planar networks and mixing-type sub-cluster algebras: 《Applied Mathematics(A Journal of Chinese Universities)》2020年第2期127-140,共14页Diana Ahmad YANG Yi-chao; Supported by the National Natural Science Foundation of China(11671350,11571173,11801043);Natural Science Foundation for Youths of Jiangsu Province(BK20181031).; As an improvement of the combinatorial realization of totally positive matrices via the essential positive weightings of certain planar network by S.Fomin and A.Zelevinsky[7],in this paper,we give a test method of pos...; 关键词：positive de nite matrix generalized Jacobi matrix planar network double wiring diagram cluster subalgebras

Homological behavior of idempotent subalgebras and Ext algebras被引量：1: 《Science China Mathematics》2020年第2期309-320,共12页Colin Ingalls Charles Paquette; supported by an NSERC Discovery Grant;supported by the University of Connecticut and by the NSF CAREER grant (Grant No. DMS-1254567); Let A be a(left and right) Noetherian ring that is semiperfect. Let e be an idempotent of A and consider the ring Γ :=(1-e)A(1-e) and the semi-simple right A-module Se := e A/e rad A. In this paper, we investigate th...; 关键词：global dimension Noetherian ring semiperfect ring idempotent subalgebra Cartan determinant

Spectral Invariant Subalgebras of Reduced Groupoid C^＊-algebras被引量：2: 《Acta Mathematica Sinica,English Series》2017年第4期526-544,共19页Cheng Jun HOU; Supported by the NNSF of China(Grant Nos.11271224 and 11371290); We introduce the notion of property(RD) for a locally compact, Hausdorff and r-discrete groupoid G, and show that the set S~l(G) of rapidly decreasing functions on G with respect to a continuous length function l is a...; 关键词：Groupoid C*-algebra property(RD) spectral invariance

Maximal Graded Subalgebras of the General Linear Lie Superalgebras over Superrings被引量：1: 《Journal of Mathematical Research with Applications》2015年第2期149-156,共8页Yang LI Wende LIU; Supported by the National Natural Science Foundation of China(Grant Nos.11171055;11471090);the Natural Science Foundation of the Education Department of Heilongjiang Province(Grant No.12521158); In this paper, we determine all maximal graded subalgebras of the general linear Lie superalgebras containing the standard Cartan subalgebras over a unital supercommutative superring with 2 invertible.; 关键词：maximal graded subalgebras general linear Lie superalgebras supercommutativesuperrings

Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations: 《Applied Mathematics》2013年第1期124-134,共11页Sopita Khamrod; The purpose of this paper is to find the admitted Lie group of the reduction of the Navier-Stokes equationswhere using the basic Lie symmetry method. This equation is constructed from the Navier-Stokes equations risin...; 关键词：Optimal System INVARIANT SOLUTIONS PARTIALLY INVARIANT SOLUTIONS NAVIER-STOKES Equations

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