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New Exact Solutions to (2+1)-Dimensional Variable Coefficients Broer-Kaup Equations

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Communications in Theoretical physics 2006年第9期46卷 393-396页

作者： ZHU Jia-Min~(1,2,+) MA Zheng-Yi~(1,2) ~1 department of physics, Zhejiang lishui university, lishui 3.3.00, china ~2 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, china department of physics Zhejiang Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

In this paper, using the variable coefficient generalized projected Ricatti equation expansion method, we present explicit solutions of the (2+1)-dimensional variable coefficients Broer-Kaup (VCBK) equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found.

关键词： variable coefficient generalized projected Ricatti equation method (2+1)-dimensional variable coefficients Broer Kaup equations Weierstrass function solution solitary wave solution trigonometric function solution

Charge order and spin order in Nd_(0.5)Sr_(0.5)Mn_(1-x)(Ga_x, Ti_x)O_3 system

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Science china(physics,Mechanics & Astronomy) 2007年第3期50卷 294-302页

作者： REN QingBao1,2, ZHU WeiTing1, hong Bo2 & ZHANG YuHeng2 1 department of physics, lishui university, lishui 3.3.00, china 2 National High Magnetic Field laboratory, university of Science and Technology of china, Hefei 230026, china department of physics Lishui University Lishui China National High Magnetic Field laboratory University of Science and Technology of China Hefei China

Magnetic properties of Nd_(0.5)Sr_(0.5)Mn_(1-x)(Ga_x, Ti_x)O_3 system (0.04≤x≤0.4) were inves- tigated through magnetization and electron spin resonance (ESR) measurements. It was observed that a small amount of Ti substitution for Mn will destroy the charge-ordering (CO) phase completely and induce the cluster-spin-glass phase in the system, which displays a procedure of collapse of CO and of an enhancement of spin ordering (SO) phase. In contrast, the Ga substitution for Mn induces a melt- ing of CO phase in the system. It was observed that with substitution the CO phase is suppressed gradually and the remanent CO phase is retained all the while, and withal, there is a co-existence of AFM CO phase and FM SO at low temperature. In addition, an abrupt rise of magnetization was observed in M-T curves. We attributed this abnormal phenomenon to a transition from canted AFM SO to FM SO in CO region.

关键词： charge ordering spin ordering antiferromagnetic transition

W ^(1,p)(R^n)-BOUNDEDNESS FOR MAXIMAl FUNCTIONS

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Analysis in Theory and Applications 2009年第1期25卷 86-91页

作者： li Cheng department of Mathematics lishui university lishui, 3.3.00P. R. china department of Mathematics Lishui University Lishui P. R. China

In this paper, we get W 1,p(Rn)-boundedness for tangential maximal func- tion and nontangential maximal function , which improves ***, *** and Tananka’s results.

关键词： tangential maximal function nontangential maximal function W 1 p(Rn)- boundedness

Quantum statistical entropy corresponding to cosmic horizon in five-dimensional spacetime

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Science china(physics,Mechanics & Astronomy) 2008年第2期51卷 140-146页

作者： ZHAO Ren1,2 & ZHANG Shengli1 1 department of Applied physics, Xi’an Jiaotong university, Xi’an 710049, china 2 department of physics, Shanxi Datong university, Datong 037009, china department of Applied physics Xi’an Jiaotong University Xi’an China department of physics Shanxi Datong University Datong China

The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime. In our calculation, we need not introduce cutoff. There is no divergent logarithmic term in the original brick-wall method. And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon. Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon. The black hole's entropy is the intrinsic property of the black hole. The entropy is a quantum effect. In our calculation, by using the quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime. We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.

关键词： quantum statistical entropy generalized uncertainty relation high-dimensional spacetime

Adsorption of platinum(Ⅳ)onto D3.1R resin

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Rare Metals 2008年第3期27卷 233-237页

作者： MO Jianjun SHI linmei GU Yongbing YAN Guobing department of Chemistry Lishui College Lishui 323000 China lishui Technical College Lishui 323000 China

Pt（Ⅳ） was quantitatively adsorbed by D3.1R resin in the medium of pH = 3.47. The statically saturated adsorption capacity is 410 mg/g. Pt（Ⅳ） adsorbed on D3.1R resin can be eluted by 1.0-2.0 mol/l NaOH. The rate constant is k298 = 5.43 × 10^-5 s^-1. The adsorption of Pt（Ⅳ） on D3.1R resin obeys the Freundlich isotherm. The adsorption parameters of thermodynamics are as follows： enthalpy change AH = 4.37 kJ/mol, Gibbs free energy change AG = -5.39 kJ/mol, and entropy change AS = 32.76 J/（mol.K）. The apparent activation energy is Ea = 22.5 kJ/mol. The coordination molar ratio of the functional group of D3.1R resin to Pt（Ⅳ） is 2：1.

关键词： D3.1R resin adsorption platinum adsorption mechanism

localized Structures on Periodic Background Wave of (2+1)-Dimensional Boiti-leon-Pempinelli System via an Object Reduction

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Communications in Theoretical physics 2007年第11期48卷 811-814页

作者： FANG Jian-Ping MA Song-Hua FEI Jin-Xi hong Bi-Hai ZHENG Chun-long College of Mathematics and physics,lishui university,lishui 3.3.00,china Shanghai Institute of Applied Mathematics and Mechanics,Shanghai university,Shanghai 200072,china College of Mathematics and physics Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

In this paper,we present an object reduction for nonlinear partial differential *** a concreteexample of its applications in physical problems,this method is applied to the (2+1)-dimensional Boiti-leon-Pempinellisystem,which has the extensive physics background,and an abundance of exact solutions is derived from some *** on the derived solutions,the localized structures under the periodic wave background are obtained.

关键词： object reduction (2+1)-dimensional Boiti-leon-Pempinelli system exact solution

The lepton flavor violating signal of the extra gauge boson Z′in photon-photon collision at the IlC

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Science china(physics,Mechanics & Astronomy) 2010年第11期53卷 1992-1997页

作者： lIU Guoli 1,2 1 physics department,Zhengzhou university,Zhengzhou 450001,china 2 Kavli Institute for Theoretical physics china,Chinese Academy of Sciences,Beijing 100190,china physics department Zhengzhou University Zhengzhou China Kavli Institute for Theoretical physics china Chinese Academy of Sciences Beijing China

The hitherto unconstrained lepton flavor mixings,induced by the new gauge boson Z ,which are the prediction of many new physics models,such as topcolor-assisted technicolor (TC2) models and flavor-universal TC2 models,may lead to the lepton flavor violating productions of τμˉ,τeˉ and μeˉ in photon-photon collision at the proposed International linear Collider (IlC).Through a comparative analysis of these processes,we find that the better channel to probe the new physics models is the production of τμˉ or τeˉ which occurs at a much higher rate than μeˉ production due to the large mixing angle and the large flavor changing coupling,and may reach the detectable level of the IlC for a large part of the parameter *** the rates predicted by the Standard Model are far below the detectable level,these processes may serve as a sensitive probe for such new physics models.

关键词： new gauge boson Z lepton flavor violating processes photon-photon

NONTRIVIAl SOlUTION OF A NONlINEAR SECOND-ORDER THREE-POINT BOUNDARY VAlUE PROBlEM

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Applied Mathematics(A Journal of Chinese Universities) 2007年第1期22卷 37-47页

作者： li Shuhong Sun Yongping department of Mathematics, lishui university, lishui 3.3.00,china department of Applied Mathematics, Zhejiang Sci-Tec university, Hangzhou 310018, china department of Electron and Information, Zhejiang university of Media and Communications, Hangzhou 310018, china. department of Mathematics Lishui University Lishui China department of Applied Mathematics Zhejiang Sci-Tec University Hangzhou China department of Electron and Information Zhejiang University of Media and Communications Hangzhou China

In this paper, for a second-order three-point boundary value problem u″＋f（t,u）=0,0〈t〈1,au（0）-bu′（0）=0,u（1）-au（η）=0,where η∈ （0, 1）, a, b, α ∈R with a^2 ＋ b^2 〉 0, the existence of its nontrivial solution is studied. The＇conditions on f which guarantee the existence of nontrivial solution are formulated. As an application, some examples to demonstrate the results are given.

关键词： three-point boundary value problem nonlinear alternative of leray-Schauder, nontrivial solution.

Different-Periodic Travelling Wave Solutions for Nonlinear Equations

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Communications in Theoretical physics 2004年第4期41卷 481-486页

作者： YE li-Jun~1 lIN Ji~(1,2)1 department of physics,Zhejiang Normal university,Jinhua 3.1004,china2 physics department,Shanghai Jiao Tong university,Shanghai 200030,china department of physics Zhejiang Normal University Jinhua 321004 China physics department Shanghai Jiao Tong University Shanghai 200030 China

Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the knownperiodic *** procedure is crucially dependent on a sequence of cyclic identities involving Jacobi ellipticfunctions sn(ξ,m),cn(ξ,m),and dn(ξ,m).

关键词： linear superposition nonlinear equation travelling wave solution