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ISOSPECTRAL: 作品数：44被引量：31H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：王勤谋更多>>; 相关机构：安徽师范大学更多>>; 相关期刊：《Communications in Theoretical Physics》《Journal of Donghua University(English Edition)》《Chinese Physics B》《Chinese Physics Letters》更多>>; 相关基金：国家自然科学基金上海市教育委员会重点学科基金国家重点基础研究发展计划中国博士后科学基金更多>>

Sharp Bounds for Upper and Bottom Spectrum of Hermitizable Tridiagonal Matrices: 《Journal of Mathematical Research with Applications》2025年第1期125-132,共8页Yueshuang LI Lingdi WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11771046,12101186);Beijing Natural Science Foundation(Grant No.1254039).; We display sharp bounds for upper and lower spectrum of a Hermitizable tridiagonal matrix.The representations are brought to light by exploiting the characteristic for eigenpairs(eigenvalue and its corresponding eigen...; 关键词：Hermitizable matrix isospectral matrices upper and bottom spectrum

Derivation of Expanded Isospectral-Nonisospectral Integrable Hierarchies via the Column-vector Loop Algebra: 《Acta Mathematicae Applicatae Sinica》2024年第3期778-800,共23页Hai-feng WANG Yu-feng ZHANG; supported by the National Natural Science Foundation of China (No.12371256)。; A scheme for generating nonisospectral integrable hierarchies is introduced.Based on the method,we deduce a nonisospectral hierarchy of soliton equations by considering a linear spectral problem.It follows that the co...; 关键词：expanded isospectral-nonisospectral integrable hierarchies column-vector loop algebra bi-Hamiltonian structure SYMMETRY

Lorentz violation induces isospectrality breaking in Einstein-bumblebee gravity theory: 《Science China(Physics,Mechanics & Astronomy)》2024年第8期87-96,共10页Wentao Liu Xiongjun Fang Jiliang Jing Jieci Wang; supported by the National Natural Science Foundation of China(Grant Nos.12122504,12375046,and 12035005);the Innovative Research Group of Hunan Province(Grant No.2024JJ1006);the Natural Science Foundation of Hunan Province(Grant No.2023JJ30384);Hunan Provincial Major Sci-Tech Program(Grant No.2023ZJ1010)。; In this study,we investigate the quasinormal modes(QNMs)of a Lorentz-violating spacetime,factoring in a cosmological constant,within the framework of Einstein-bumblebee gravity.Our findings reveal that the interaction...; 关键词：Lorentz-violating isospectral breaking quasinormal modes

Generalized Isospectral-Nonisospectral Modified Korteweg-de Vries Integrable Hierarchies and Related Properties: 《Annals of Applied Mathematics》2024年第2期105-138,共34页Huanhuan Lu Xinan Ren Yufeng Zhang Hongyi Zhang; supported by the National Natural Science Foundation of China(grant No.12371256 and No.11971475).; In this article, a new technique for deriving integrable hierarchy is discussed, i.e., such that are derived by combining the Tu scheme with the vector product. Several classes of spectral problems are introduced by t...; 关键词：Darboux transformation nonlocal symmetry COVERING MANIFOLD contact structure

Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations被引量：1: 《Communications in Theoretical Physics》2024年第5期1-15,共15页Alemu Yilma Tefera Shangshuai Li Da-jun Zhang; supported by the National Natural Science Foundation of China(No.12271334).; This paper aims to develop a direct approach,namely,the Cauchy matrix approach,to non-isospectral integrable systems.In the Cauchy matrix approach,the Sylvester equation plays a central role,which defines a dressed Ca...; 关键词：Cauchy matrix approach Sylvester equation nonlinear Schrödinger equation non-isospectral integrable system explicit solution

A New Non-Isospectral Integrable Hierarchy and Some Associated Symmetries: 《Journal of Mathematical Research with Applications》2023年第5期573-596,共24页Yufeng ZHANG Yiyi LIU Jian-gen LIU Binlu FENG; Supported by the National Natural Science Foundation of China (Grant Nos. 11971475;12371256)。; By applying a subgroup of the Lie group Mn C we introduce a linear nonisospectral problem whose compatibility condition gives rise to a nonisospectral integrable hierarchy of evolution equations, which reduces to a ge...; 关键词：integrable hierarchy SYMMETRY non-isospectral hierarchy

Finite Groups Isospectral to Simple Groups: 《Communications in Mathematics and Statistics》2023年第2期169-194,共26页Maria A.Grechkoseeva Victor D.Mazurov Wujie Shi Andrey V.Vasil’ev Nanying Yang; supported by Foreign Experts program in Jiangsu Province(No.JSB2018014);supported by the National Natural Science Foundation of China(No.12171126);supported by the RFBR(No.20-51-00007);supported by the National Natural Science Foundation of China(11171364,11671063).; The spectrum of a finite group is the set of element orders of this group.The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum,in particular,to list all finite si...; 关键词：Finite group Simple group Element order SPECTRUM Recognition by spectrum

Computing top eigenpairs of Hermitizable matrix被引量：2: 《Frontiers of Mathematics in China》2021年第2期345-379,共35页Mu-Fa CHEN Zhi-Gang JIA Hong-Kui PANG; This work was supported in part by the National Natural Science Foundation of China(Grant Nos.12090011,11771046,11771188,11771189);the National Key R&D Program of China(No.2020YFA0712900);the Natural Science Foundation of Jiangsu Province(Grant No.BK20171162);the project from the Ministry of Education in China,and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.; The top eigenpairs at the title mean the maximal, the submaximal, or a few of the subsequent eigenpairs of an Hermitizable matrix. Restricting on top ones is to handle with the matrices having large scale, for which o...; 关键词：Hermitizable Householder transformation birth-death matrix isospectral matrices top eigenpairs ALGORITHM

Hermitizable, isospectral complex second-order differential operators被引量：1: 《Frontiers of Mathematics in China》2020年第5期867-889,共23页Mu-Fa CHEN Jin-Yu LI; supported in part by the National Natural Science Foundation of China(Grant No.11771046);the project from the Ministry of Education in China,and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.; The first aim of the paper is to study the Hermitizability of secondorder differential operators,and then the corresponding isospectral operators.The explicit criteria for the Hermitizable or isospectral properties ar...; 关键词：Hermitizable ISOSPECTRAL differential operators non-Hermitianmodel discrete spectrum

Fractional Breaking Soliton Equation Reduced from a Linear Spectral Problem Associated with Fractional Self-Dual Yang-Mills Equations: 《Journal of Donghua University(English Edition)》2020年第5期402-405,共4页ZHANG Sheng MA Lina XU Bo; Liaoning BaiQianWan Talents Program of China(2019);National Natural Science Foundation of China(No.11547005);Natural Science Foundation of Education Department of Liaoning Province of China(2020)。; Fractional or fractal calculus is everywhere and very important.It is reported that the fractal approach is suitable for insight into the effect of porous structure on thermo-properties of cloth.A novel local fraction...; 关键词：fractional calculus local fractional breaking soliton equation local fractional non-isospectral self-dual Yang-Mills equations (2+1)-dimensional local fractional zero-curvature equation

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