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LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF DIFFERENCE SCHEME FOR A SEMILINEAR PARABOLIC EQUATION (Ⅱ)

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Journal of Computational Mathematics 1998年第5期16卷 571-576页

作者： Hui Feng(Shenzhen university normal College, Shenzhen 518060, china Laboratorp of Computational physics, institute of Applied physics and Computational Mathematics,P.O.Box 8009, Beijing 100088, china )Long-jnn Shen(Laboratory of Computational physics, In Shenzhen Univ Wormal Coll Shenzhen 518060 Peoples R China Inst Appl Phys & Computat Math Lab Computat Phys Beijing 100088 Peoples R China

In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as t→∞. For nonlinear parabolic problem, we obtain the long time asymptotic behavior of its discrete solution which is analogous to that of its continuous solution. For simplicity, we discuss one-dimensional problem.

关键词： Asymptotic behavior Explicit difference scheme Semilinear parabolic equation.

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Dromion Solutions for Dispersive Long-wave Equations in Two Space Dimensions

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Communications in nonlinear Science and Numerical Simulation 1997年第4期2卷 225-229页

作者： Yanjuan ZHU (Department of Mathematics &physics,Guangdong university of Technology,Guangzhou 5 1 0 0 90 ,china) Jiefang ZHANG (Research Center of Engineering Science,zhejiang university of Technology,Hangzhou 31 0 0 32 ,china institute of nonlinear Department of Mathematics and physics Guangdong University of Technology Guangzhou 510090 China Research Center of Engineering Science Zhejiang University of Technology Hangzhou 310032 China institute of nonlinear physics / Department of physics Zhejiang Normal University Jinhua 321004 Zhejiang China

By using the homogeneous balance method,we show that the dromion solutions exist for the (2 + 1 ) - dimensional dispersive long- wave *** conjectured thatthe method used here can be generalized to a class of nonlinear... 详细信息

关键词： dromiom solution soliton solution dispersive long- wave eqaution.

Two new types of bounded waves of CH-γ equation

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Science china Mathematics 2005年第12期48卷 1618-1630页

作者： GUO Boling & LIU Zhengrong institute of Applied physics and Computational Mathematics, Beijing 100088, china School of Mathematical Sciences and Center for nonlinear Science Studies, South china university of Technology, Guangzhou 510640, china 1. institute of Applied physics and Computational Mathematics 100088 Beijing China 2. School of Mathematical Sciences and Center for nonlinear Science Studies South China University of Technology 510640 Guangzhou China

In this paper, the bifurcation method of dynamical systems and numerical approach of differential equations are employed to study CH-γ equation. Two new types of bounded waves are found. One of them is called the compacton. The other is called the generalized kink wave. Their planar graphs are simulated and their implicit expressions are given. The identity of theoretical derivation and numerical simulation is displayed.

关键词： CH-γ equation,compactons,generalized kink waves.

Lepton flavor violating Z-boson decays at GigaZ as a probe of supersymmetry

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Science china(physics,Mechanics & Astronomy) 2010年第11期53卷 1949-1952页

作者： YANG JinMin 1,2 1 Department of physics,Henan normal university,Xinxiang 453007,china 2 institute of Theoretical physics,Chinese Academy of Sciences,Beijing 100190,china 1. Department of physics Henan Normal University Xinxiang 453007 China2. Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China

This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw *** work concludes that under the current experimental constraints from LEP and i → j γ,these rare decays can still be enhanced to reach the sensitivity of the ***,supersymmetry can be probed via these decays at GigaZ.

关键词： Z-decay GigaZ supersymmetry

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两组新的广义的Ito方程组的多种行波解

物理学报 2004年第2期53卷 349-355页

作者：李画眉林机许友生浙江师范大学非线性物理研究所金华321004

利用推广的形变映射法 ,得到两组广义的Ito方程组的丰富的行波解 ,包括孤子解 ,三角函数解 ,椭圆函数解。

关键词：广义Ito方程非线性Klein-Gordon方程形变映射法行波解孤子解三角函数解椭圆函数解幂函数解

Bose-Einstein Condensation in Linear Sigma Model at Hartree Approximation

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Communications in Theoretical physics 2008年第5期49卷 1261-1264页

作者： SHU Song~(1,+) LI Jia-Rong~21 Faculty of physics and Electronic Technology,Hubei university,Wuhan 430062,china2 institute of Particle physics,Huazhong normal university,Wuhan 430079,china Faculty of physics and Electronic Technology Hubei University Wuhan 430062 China institute of Particle physics Huazhong Normal University Wuhan 430079 China

The BEC of charged pions is investigated in the framework of O(4) linear sigma *** using Cornwall-Jackiw- Tomboulis formalism,we have derived the gap equations for the effective masses of the mesons at finite tempera-ture and finite isospin *** critical temperature and phase diagram of BEC are discussed in the non-chiral limitat Hartree approximation.

关键词： finite temperature field theory Bose-Einstein condensation phase transitions

Morphology and the M_(BH)-σ_* relation for NLS1s

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Science china(physics,Mechanics & Astronomy) 2010年第S1期53卷 256-258页

作者： BIAN WeiHao & HUANG Li Department of physics and institute of Theoretical physics,Nanjing normal university,Nanjing 210097,china 1. Department of physics and institute of Theoretical physics Nanjing Normal University Nanjing 210097 China

For a sample of 33 narrow-line Seyfert 1 galaxies(NLS1s)(z<0.1) from the Sloan Digital Sky Survey,we investigate their *** find that 24 NLS1s show clear bar structure and 9 NLS1s show no bar *** bar frequency in this NLS1s sample is about 70%.We do not find any difference in the location of NLS1s with or without bars on the MBH-σ* diagram.

关键词： active galaxies bar black hole mass

Investigation of True Ni^(2+)-Halide Distances in Alkali Halide Lattices

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Journal of Materials Science & Technology 1994年第2期10卷 154-156页

作者： Xuanrong MA(Department of physics, Ningxia university, Yinchuan, 750021, china)Maolu DU(institute of Solid State physics, Sichuan normal university, Chengdu, 610066, china)(To whom correspondence should be addressed) Ningxia Univ Yinchuan China

Using the μKα model of Ni2+-6X- cluster, the true distances between impurity Ni2+ cation and halide anion in alkali halide lattices are estimated from the optical spectra data. The results suggest that the true impurity cation- ligand anion distances are close to the sum of ionic radii of the impurity cation and ligand anion but not the cation - anion distance of the perfect lattices in the case of that the ionic radius of host cation is more larger than that of impurity cation

关键词： True Cl Br Investigation of True Ni Halide Distances in Alkali Halide Lattices

Symmetries and exact solutions of discrete nonconservative systems

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Science china(physics,Mechanics & Astronomy) 2010年第9期53卷 1699-1706页

作者： FU JingLi1,LI XiaoWei2,LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 institute of Mathematical physics,zhejiang Sci-Tech university,Hangzhou 310018,china 2 Department of physics,Shangqiu normal university,Shangqiu 476000,china 3 Department of Mathematics,Qingdao university,Qingdao 266071,china 4 Faculty of Mechanical Engineering & Automation,zhejiang Sci-Tech university,Hangzhou 310018,china 1. institute of Mathematical physics Zhejiang Sci-Tech University Hangzhou 310018 China2. Department of Physics Shangqiu Normal University Shangqiu 476000 China3. Department of Mathematics Qingdao University Qingdao 266071 China4. Faculty of Mechanical Engineering & Automation Zhejiang Sci-Tech University Hangzhou 310018 China

Based on the property of the discrete model entirely inheriting the symmetry of the continuous system,we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservative *** Noether's identity of the discrete nonconservative system is *** symmetric discrete Lagrangian and symmetric discrete nonconservative forces are defined for the *** quasi-extremal equations of discrete nonconservative systems are *** conserved quantities are derived with symmetries associated with the continuous *** have also found that the existence of the one-parameter symmetry group provides a reduction to a conserved quantity;but the existence of a two-parameter symmetry group makes it possible to obtain an exact solution for a discrete nonconservative *** examples are discussed to illustrate these results.

关键词： discrete nonconservative system symmetry conserved quantity quasi-extremal equation exact solution