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A SOLITARY SOLUTION AND ITS STABILITY IN A 1-D FHN EQUATION

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Journal of Shanghai Jiaotong university(Science) 1996年第2期1卷 17-20,24页

作者： Gu Shengshi(Dept. of Applied Mathematics, Shanghai Jiaotong University)A. V. Holden Zhang Henggui(Dept. of Physiology & Centre for Non-linear Studies, Leeds University, Leeds, LS2 9JT,England)

The analytic solutions in a 1-D FitzHugh-Nagumo model are offered,and a function of wave speed cwith parameters ε,γ,β and D1 has been derived. In the parameter space (ε,β),the conditions for the assumed periodic ... 详细信息

关键词： solitary wave excitable media nonlinear wave process 1-D FitzHugh-Nagumo equations

Deducing Plasma Density Profile From Stimulated Raman Scattering Spectrum

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Chinese Physics Letters 1994年第7期11卷 416-419页

作者： ZHANG Jiatai WANG Weixing CHANG Tieqiang Institute of Applied Physics and Computational Mathematics Beijing 10008

A new feasible approach for diagnosing plasma density profile is given in this paper.Plasma density profiles of some hohlraum targets are obtained by comparing theoretical and experimental results of the stimulated Ra... 详细信息

关键词： spectrum equations feasible

A Discrete-type Continuation Regularization Method and its Application

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Journal of Harbin Institute of Technology(New Series) 1995年第1期2卷 5-9页

作者：韩波游建华刘家琦

ＡＤｉｓｃｒｅｔｅ－ｔｙｐｅＣｏｎｔｉｎｕａｔｉｏｎＲｅｇｕｌａｒｉｚａｔｉｏｎＭｅｔｈｏｄａｎｄｉｔｓＡｐｐｌｉｃａｔｉｏｎ￥（韩波）（游建华）（刘家琦）ＨＡＮＢｏ；ＹＯＵＪｉａｎｈｕａ；ＬＩＵＪｉａｑｉ（Ｄｅｐｔ... 详细信息

ＡＤｉｓｃｒｅｔｅ－ｔｙｐｅＣｏｎｔｉｎｕａｔｉｏｎＲｅｇｕｌａｒｉｚａｔｉｏｎＭｅｔｈｏｄａｎｄｉｔｓＡｐｐｌｉｃａｔｉｏｎ￥（韩波）（游建华）（刘家琦）ＨＡＮＢｏ；ＹＯＵＪｉａｎｈｕａ；ＬＩＵＪｉａｑｉ（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉｃｓ，Ｈａ...

关键词： ss: Discrete-type continuution method regularization method inverse problem of differential equations

A PARALLEL IMAGINARY EBE METHOD FOR SOLVING POSITIVE DEFINITE LINEAR SYSTEMS

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Transactions of Nanjing University of Aeronautics and Astronautics 1994年第1期11卷 47-54页

作者： Pan Xiaosu (Department of Applied Mathematics ,Physics and Mechanisc ,NUAA 29 Yudao Street ,Nanjing ,210016 ,P.R.China )

A parallel imaginary EBE (element-by-element )method for solving positive definite linear systems is presented. The EBE strategy is originally used as a sequential method[1.2], and later it is converted to a parallelmethod for solving finite element problem in solid mechanics[3]. The main contribution of this paper is to forma general parallel EBE method for the solution of anyPOsitive definite linear system through a so-called imaginary finite element technique. It is then POssible to use.finite elemental without finite element.

关键词： positive matrices parallel processing linear equations if mite element EBE method

GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE

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Numerical Mathematics A Journal of Chinese Universities(English Series) 1993年第1期2卷 87-100页

作者：白中治王德人 Department of Mathematics Shanghai University of Science and Technology Shanghai 201800 PRC.

In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix.

关键词： System of linear equations matrix mullisplilting relaxation method convergence divergence.

Exact Solution for the One-D Spin Fluetuation Model

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Chinese Physics Letters 1993年第8期10卷 500-502页

作者： WANG Yupeng JIN Duo CCAST(World Laboratory):Cryogenic Laboratory AcademiaSinicaBeijing 100080 Cryogenic Laboratory Academia ShiicaBeijing 100080

The exact solutions via Bcthe alsatz to thc Onc-D spin Huetration 1model for J>0 and J<0 are presented.The bound stites inre discussed lased on the. Bethe ansatz.equations.It is show1l tliat tle atntifrronlagnetic spi... 详细信息

The exact solutions via Bcthe alsatz to thc Onc-D spin Huetration 1model for J>0 and Jequations.It is show1l tliat tle atntifrronlagnetic spin fHuctuition leads to bound states like Cooper pairs and ferromagnctic spin Auctuation to no bolund state.Also,we point out that our model is much sinilar to the δ-potential Ferui gas model.

关键词： equations state model

Solitary Magnon Localization in Antiferromagnet Ni( C_(2)H_(8)N_(2))_(2)NO_(2)C1O_(4)

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Chinese Physics Letters 1994年第7期11卷 447-450页

作者： LIU Wuming ZHOU Benlian International Center for Materials Physics Academia SinicaShenyang 110015 and CCAST(World Laboratory)P.O.Box 8730Beijing 100080 Institute of Metal Research Academia SinicaShenyang 110015

Employing the Holstein-Primakoff transformation and the coherent state ansatz,we obtain two partial differential equations of motion from Hamiltonian.Using the method of multiple scalar,we reduce these equations into a nonlinear Schrodinger equation and get the single soliton solution.These results show that solitary magnon localization in antiferromagnet Ni( C_(2)H_(8)N_(2))_(2)NO_(2)C1O_(4) is possible.

关键词： solution soliton equations