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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 Shanghai Institute of Applied Mathematics and Mechanics

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 3.3.00 china Korea Green Cross Corporation 227 Kugal-ri Kiheung-up YonginKyunggi-do 449-900Korea

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 lishui university 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

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 Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

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

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.

Improved Reall-Santos method for AdS black holes in general 4-derivative gravities

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Science china(physics,Mechanics & Astronomy) 2024年第8期67卷 74-86页

作者： Peng-Ju Hu liang Ma hong lü Yi Pang Center for Joint Quantum Studies and department of physics School of ScienceTianjin UniversityTianjin 300350China Joint School of National university of Singapore and Tianjin university International Campus of Tianjin UniversityFuzhou 350207China Peng Huanwu Center for Fundamental Theory Hefei 230026China

For asymptotically flat black holes,Reall-Santos method is a convenient tool to compute leading higher derivative corrections to the thermodynamic quantities without actually solving the modified field ***,there are subtleties in its generalization to asymptotically AdS black holes with general higher derivative *** of all,it is necessary to know all the higher derivative holographic counterterms and the surface terms implementing the variational principle and subtracting the *** then needs to solve for the modified AdS radius and rescale the time coordinate in an appropriate way such that the induced metric on the conformal boundary of AdS black hole is not *** observe that Reall-Santos method can be directly applied to a particular 4-derivative gravity model,known as the Einstein-Weyl gravity,which does not modify the AdS radius and requires only the Gibbons-Hawking-York term and holographic counterterms for the 2-derivative *** thus suggest that to compute the thermodynamic quantities of AdS black holes in general 4-derivative theories of gravity,one simply needs to transform it to a Einstein-Weyl gravity with identical thermodynamic variables by appropriate field *** explicitly verify this proposal with spherically-symmetric and static charged black holes in Einstein-Maxwell theory extended with generic 4-derivative interactions.

关键词： black holes thermodynamics higher-derivative corrections effective theories higher dimensional black holes quantum gravity

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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

Exact Solution to(1+1)-Dimensional Higher-Order SchrSdinger Equation via an Extended Mapping Approach

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Communications in Theoretical physics 2006年第1期45卷 127-130页

作者： ZHU Hai-Ping~1 ZHENG Chun-long~(1,2,+) FANG Jian-Ping~11 department of physics,Zhejiang lishui university,lishui 3.3.00,china2 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai university,Shanghai 200072,china

Starting from a special variable transformation and with the help of an extended mapping approach,the high-order Schr■dinger equation(n=3,4)is solved.A new family of variable separation solutions with arbitraryfuncti... 详细信息

关键词： extended mapping approach Schr■dinger equation exact solution