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A Hierarchy of Lax Integrable Lattice Equations, Liouville Integrability and a NewIntegrable Symplectic Map 被引量:6
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作者 XUXi-Xiang ZHANGYu-Feng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第3期321-328,共8页
A discrete matrix spectral problem and the associated hierarchy of Lax integrable lattice equations are presented, and it is shown that the resulting Lax integrable lattice equations are all Liouville integrable discr... A discrete matrix spectral problem and the associated hierarchy of Lax integrable lattice equations are presented, and it is shown that the resulting Lax integrable lattice equations are all Liouville integrable discrete Hamiltonian systems. A new integrable symplectic map is given by binary Bargmann constraint of the resulting hierarchy. Finally, an infinite set of conservation laws is given for the resulting hierarchy. 展开更多
关键词 lattice soliton equation discrete Hamiltonian system Liouville integrability NONLINEARIZATION symplctic map conservation law
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A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map 被引量:2
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作者 XUXi-Xiang DONGHuan-He 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第5期523-528,共6页
A discrete spectral problem is discussed, and a hierarchy of integrable nonlinear lattice equations related to this spectral problem is devised. The new integrable symplectic map and finite-dimensional integrable syst... A discrete spectral problem is discussed, and a hierarchy of integrable nonlinear lattice equations related to this spectral problem is devised. The new integrable symplectic map and finite-dimensional integrable systems are given by nonlinearization method. The binary Bargmann constraint gives rise to a B?cklund transformation for the resulting integrable lattice equations. 展开更多
关键词 integrable lattice equation Hamiltonian system NONLINEARIZATION symplectic map Backlund transformation
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The Two Patterns of High Exact Difference in Convection Equation 被引量:2
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作者 YANGHui PENGXing 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期328-330,共3页
This paper gives two patterns of high exact d ifference in solving convection equation. The error of cut section is to O(Δ t 2+Δx 4).
关键词 convection equation the pattern of difference the e rror of cut section
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Notes on the Scaling Function 被引量:2
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作者 WUHua-an ZHANGGui-zhen 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第2期188-191,共4页
Two properties are given in this paper about the scaling function: suppose Vj; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transfor... Two properties are given in this paper about the scaling function: suppose Vj; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transform of φ is a continuous real function, compactly supported, then φ(0) ≠ 0 and when supp φ = [a1,b1]∪[a2,b2](b1 < a2,0 < a2), then we havea1 ≤ 0, 0 < b1, a1 < b2/2 ≤ b1, 2π < b2 - a1 ≤ 8π. 展开更多
关键词 multiresolution analysis scaling function Fourier transform
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Decision making with fuzzy probability assessments and fuzzy payoff 被引量:1
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作者 SongYexin YinDi ChenMianyun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第1期69-73,共5页
A novel method for decision making with fuzzy probability assessments and fuzzy payoff is presented. The consistency of the fuzzy probability assessment is considered. A fuzzy aggregate algorithm is used to indicate t... A novel method for decision making with fuzzy probability assessments and fuzzy payoff is presented. The consistency of the fuzzy probability assessment is considered. A fuzzy aggregate algorithm is used to indicate the fuzzy expected payoff of alternatives. The level sets of each fuzzy expected payoff are then obtained by solving linear programming models. Based on a defuzzification function associated with the level sets of fuzzy number and a numerical integration formula (Newton-Cotes formula), an effective approach to rank the fuzzy expected payoff of alternatives is also developed to determine the best alternative. Finally, a numerical example is provided to illustrate the proposed method. 展开更多
关键词 decision making fuzzy probabilities fuzzy payoff linear programming numerical integration.
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Theoretical Analyses of 4f^11→4f^105d Excitation Spectra of Er^3+ Doped in LiYF4 被引量:1
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作者 LI Cai-Yun WANG Yong-Ming (Department of Basic Course, Chinese People’s Armed Police Force Academy, Langfang 065000, China) 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2005年第1期1-1,共1页
Spectral terms and J-spectral multiplet of low-spin 4f105d configuration of Er3+ were obtained with the method of ligand field theory. According to the selection rules for dipole transitions, the excitation spectr... Spectral terms and J-spectral multiplet of low-spin 4f105d configuration of Er3+ were obtained with the method of ligand field theory. According to the selection rules for dipole transitions, the excitation spectra of Er3+ doped in LiYF4 in vacuum ultraviolet region (120~160 nm) of the spectrum were theoretically interpreted by applying the crystal field model, and the six bands were assigned to the spin-allowed transitions from the ground state (4I15/2) to J-spectral multiplet of low-spin 4f105d configuration of Er3+ion. 展开更多
关键词 LiYF_4 crystal Er^(3+) ion fd excitation spectra theoretical analysis
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Some Notes for Toeplitz Matrix 被引量:1
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作者 LIUShu-qiang ZHANGHe-ruing 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期286-291,共6页
In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz ... In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz matrices, especially the corresponding matrices of lower order, are discussed. 展开更多
关键词 MATRIX Toeplitz matrix Hermite matrix
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Multiple Positive Solutions for Some Neutral Integral Equatious Modeling Infectious Disease 被引量:1
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作者 ZHAOHua-xiang SUNXing-wang 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期21-28,共8页
By using fixed point index theory of cone mapping and extension method, this paper discusses the existence of multiple positive solution of nonlinear neutral integral equatious modeling infectious disease.
关键词 neutral integral equation strict set contraction CONE
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A hierarchy of lattice soliton equations and its Darboux transformation 被引量:2
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作者 丁海勇 徐西祥 赵向东 《Chinese Physics B》 SCIE EI CAS CSCD 2004年第2期125-131,共7页
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A SEMI-ANALYSIS METHOD OF DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS UNDER COMPLICATED BOUNDARY CONDITIONS
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作者 黎明安 王忠民 郭志勇 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第2期241-246,共6页
Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential e... Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained. 展开更多
关键词 differential equation with variable coefficients equivalent parameter solution in the domain solution of semi_analysis
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GRASP calculations of some radiation lifetimes and wavelengths for O-like ions with 525≤Z≤79
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作者 王宛珏 姜仁滨 王晓东 《Nuclear Science and Techniques》 SCIE CAS CSCD 1996年第3期154-156,共3页
GRASPcalculationsofsomeradiationlifetimesandwavelengthsforO-likeionswith525≤Z≤79WangWan-Jue(王宛珏);JiangRen-Bi... GRASPcalculationsofsomeradiationlifetimesandwavelengthsforO-likeionswith525≤Z≤79WangWan-Jue(王宛珏);JiangRen-Bin(姜仁滨)(Department... 展开更多
关键词 重离子 辐射寿命 广义相对论 原子结构程序
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Model for Interaction Between Photon and Cold Atom in QED Cavity
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作者 ZHANGLi WANGCheng +2 位作者 LIYan-Min RUANSheng-Ping XUANLi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期941-948,共8页
A model has been established for the interaction between a single-mode optical field and a 2-energy-level cold atom with exact analytic solutions given. The processes of momentum and energy exchanges between the optic... A model has been established for the interaction between a single-mode optical field and a 2-energy-level cold atom with exact analytic solutions given. The processes of momentum and energy exchanges between the optical field and the cold atom due to the interaction between them are discussed in detail, and a formula has been given for the variation of momentum and energy exchange volumes with time t in dress state while both the effects of photon recoil and Doppler effect are taken into consideration. 展开更多
关键词 QED in cavity dress state cold atom effect of doppler Bose-Einstein condensation
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Hyperreflexivity of Operator Algebras of the Banach Space
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作者 YUANGuo-chang QINLi-ming 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第2期178-184,共7页
In this paper, we introduced the hyperreflexivity of operator algebra A on Banach space, discussed the necessary, and sufficient condition that A is hyperreflexive, the estimate of hyperreflexive constant and the inva... In this paper, we introduced the hyperreflexivity of operator algebra A on Banach space, discussed the necessary, and sufficient condition that A is hyperreflexive, the estimate of hyperreflexive constant and the invariance of hyperreflexivety under the similarity transformation. 展开更多
关键词 Banach space hyperreflexive operator algebra similarity transformation
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Involutions Fixing the Lens Spaces L^1( p )
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作者 LIUXi-bo YAOLi WANGYu-su 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第4期435-440,共6页
Let (M^3+k, T) be an involution on a closed manifold such that its fixed point set is L^1 (p).In this paper, we determine the existence of (M^3+k, T) and give the equivariant bordism classification of such involutions.
关键词 Lens空间 光滑闭流形 不动点理论 存在性
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A Class of Biased Estimators Based on SVD in Linear Model
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作者 GUIQing-ming DUANQing-tang +1 位作者 GUOJian-feng ZHOUQiao-yun 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期82-87,共6页
In this paper, a class of new biased estimators for linear model is proposed by modifying the singular values of the design matrix so as to directly overcome the difficulties caused by ill_conditioning in the design m... In this paper, a class of new biased estimators for linear model is proposed by modifying the singular values of the design matrix so as to directly overcome the difficulties caused by ill_conditioning in the design matrix. Some important properties of these new estimators are obtained. By appropriate choices of the biased parameters, we construct many useful and important estimators. An application of these new estimators in three_dimensional position adjustment by distance in a spatial coordiate surveys is given. The results show that the proposed biased estimators can effectively overcome ill_conditioning and their numerical stabilities are preferable to ordinary least square estimation. 展开更多
关键词 ill_conditioning singular value decomposition biased estimation
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Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation
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作者 ZHANGRui-feng YANGHui 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期267-272,共6页
In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounde... In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed. 展开更多
关键词 Kdv-Burgers equation pseudo-spectral scheme numerical experiments
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The Weak Solutions to Initial Boundary Value Problem for Boltzmann-Poisson System
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作者 XUJi-iun GUORui-qiang CUIGuo-zhong 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期302-309,共8页
In this paper, the global existence of weak s olutions to the initial boundary value problem for Boltzmann-Poisson system is proved. The proof is based on the regularization and the stability of the veloci ty averages... In this paper, the global existence of weak s olutions to the initial boundary value problem for Boltzmann-Poisson system is proved. The proof is based on the regularization and the stability of the veloci ty averages and the compactness results on L 1-theory. 展开更多
关键词 weak solution global existence system Boltzmann- Poisson equations initial boundary value problem
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On the Category of L-fuzzifying TOP
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作者 ZHANGYou WANGShu-chen 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期108-110,共3页
In this paper, the category of L-FTOP and the relations with the categories of TOP,L α-FTOP are discussed.
关键词 topological space L-fuzzifying topological space continuous mapping L-fuzzifying continuous mapping CATEGORY
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正定性与二次函数的极值
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作者 吕保献 李秀丽 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第4期422-425,共4页
In this paper we give out a sufficient and solution of quadratic function's maximum with theory of quadratic form and give out the definition of the positive definite property of the following homogeneous polynomi... In this paper we give out a sufficient and solution of quadratic function's maximum with theory of quadratic form and give out the definition of the positive definite property of the following homogeneous polynomials of degree 2n two variables function, based on the definite of local maximum of two variables function. 展开更多
关键词 正定性 极值 二次函数
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SOME RESULTS ON DOMINATION NUMBER OF PRODUCTS OF GRAPHS
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作者 SHANERFANG SUNLIANG KANGLIYING 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1998年第1期103-108,共6页
Let G=(V,E) be a simple graph. A subset D of V is called a dominating set of G if for every vertex x∈V-D,x is adjacent to at least one vertex of D . Let γ(G) and γ c(G) denote the ... Let G=(V,E) be a simple graph. A subset D of V is called a dominating set of G if for every vertex x∈V-D,x is adjacent to at least one vertex of D . Let γ(G) and γ c(G) denote the domination and connected domination number of G , respectively. In 1965,Vizing conjectured that if G×H is the Cartesian product of G and H , thenγ(G×H)≥γ(G)·γ(H).In this paper, it is showed that the conjecture holds if γ(H) ≠ γ c(H) .And for paths P m and P n , a lower bound and an upper bound for γ(P m×P n) are obtained. 展开更多
关键词 GRAPH dominating set products.
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