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	1. The study of Curved D1 Brane
	Zhou Wanping
	Physics 07 February 2011
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	Abstract:we restrict the open string end on the circular Brane. The variation of Bosonic string's action give the Bosonic boundary condition. Expanding to the supersymmetry string's action, and requiring the boundary conditions are invariant under supersymmetry, we get the supersymmetry boundary condition. Using the solutions of the string equantion ,the boundary condition could be simplified and the boundary state is obtained when R>>alpha_1/2. The boundary state satisfys some restrictions by the super-Virasoro generators, is BRST invariant after add the ghost. At last we give the boundary state of general curving D1 brane. t
	TO cite this article:Zhou Wanping. The study of Curved D1 Brane[OL].[ 7 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4409484


	2. Solutions of Klein-Gordon Equation with the Direct Coupling of Vector and Scalar Linear Potentials
	Tian Wenjie
	Physics 18 November 2009
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	Abstract:This paper solves Klein-Gordon equation (KGE) with the direct coupling of linear vector and scalar potentials, viz $V(r)=V_0r$ and $S(r)=S_0r$ with the order $V_0<S_0$ on $mathbb{R}+$. The work begins with the general formulation of KGE under the coupling of a vector and a scalar potential. Firstly, the $s$-wave KGE in coupling linear potentials is solved. Transformations lead the dynamical equation into parabolic cylinder equation, Webers equation and confluent hypergeometric equation, respectively, and these three approaches give rise to the identical energy spectrum and eigenfunction. Subsequently, the coupling KGE with nonvanishing centrifugal effect is calculated via Frobenius method of series expansion, which firstly yields the recurrence relation of the series coefficients. Since the indicial indexes are $s_1=-l$, $s_2=l+1$, when $l=0$, the solution belongs to the special case with indeterminate coefficient; when $l geq1$ with centrifugal effect, one encounters the special case with integer index difference. These two cases share the same $z(r,s)$ kernel of solution, and in the $l=0$ case, emphasis is shifted to the resolved $s$-wave states, while in the $l geq 1$ case, the kernel $z(r,s)$ and the asymptotic eigenfunction are established. Its argued that the theory of exactly-solvable high-order difference equation should be further developed. [(Comment: 12 pages, no figure)]
	TO cite this article:Tian Wenjie. Solutions of Klein-Gordon Equation with the Direct Coupling of Vector and Scalar Linear Potentials[OL].[18 November 2009] http://en.paper.edu.cn/en_releasepaper/content/36806


	3. MECHANICAL NON-SOLUTION PROVING OF FAKE DIRAC EQUATION
	Chen Rui
	Physics 24 September 2009
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	Abstract:It further introduces the method of using the unitary principle to test the logic of some theories of theoretical physics. As one of the important examples, the non-existence of solution of the system of recurrence relations from a fake Dirac equation is proven in this paper. Also, we use the method of mechanical proving to show the reliability of this pivotal result. It clearly denotes that the corresponding fake Dirac equation has not any real solution, and there is not any formal solution of the fake Dirac equations given in the various related literatures to satisfy the original Dirac equation. Furthermore, it shows that the formal solutions of the fake Dirac equations conceal a basic mathematical contradiction of that one equals zero. Consequently, constructing any new form of the Dirac equation requires great consideration.
	TO cite this article:Chen Rui . MECHANICAL NON-SOLUTION PROVING OF FAKE DIRAC EQUATION[OL].[24 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35436


	4. N Periodic-Soliton Solutions of the (2+1)-Dimensional Korteweg-de Vries Equation
	Zhaqilao,Zhi-Bin Li
	Physics 12 March 2008
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	Abstract:Periodic-soliton solutions of the (2+1)-dimensional Korteweg-de Vries equation are constructed via Hirota bilinear method by selecting the conjugated complex parameters in pairs. As an application, some new solutions of multiple soliton interactions are obtained.
	TO cite this article:Zhaqilao,Zhi-Bin Li. N Periodic-Soliton Solutions of the (2+1)-Dimensional Korteweg-de Vries Equation[OL].[12 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19227


	5. Cellular automata Model: an Adaptive Approach to Determining the Flow of Tollbooths
	Liu Quanxing
	Physics 22 December 2005
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	Abstract:Toll plaza is designed for collecting tolls in heavily travelled highways; it is however unpopular since the motorist is hardly happy when has to wait in a long line for paying for the tolls. The purpose of this paper is to propose innovative toll plaza systems that are expected to minimize motorist annoyance, and to determine the optimal number of tollbooths in a traffic lane by cellular automata, if only one tollbooth is expected for one lane. In our understanding, a good system is assumed to be able to account for the interests of both motorists and traffic managers, and to help achieve a well balance between motorist annoyance and the optimal number of tollbooths in a toll plaza. It is also assumed that, in a good system, the number of vehicles congested before the toll plaza tends to equal that of vehicles congested after the toll plaza in unit of time. All these assumptions have been validated. It is observed that the time gap for each vehicle passes through a toll plaza is at random variation; whether congestions may occur at a toll plaza is sensitive to this variable. We are then convinced that this model is the one that adapts to its environment rather than the one that tries to follow rigid rules. We choose for our research the Cellular Automata, a dynamic model for space-time calculation and discrete variables determination, because of its simplicity, flexibility, and capability to be easily simulated; and we then make a series of innovations to the motional rules in accordance with practical observations. By simulating this model with a Matlab program, we determine a close an almost optimal solution to the problems as described above. Our findings by using the innovated CA model as well as their significance have been discussed in our proposal.
	TO cite this article:Liu Quanxing. Cellular automata Model: an Adaptive Approach to Determining the Flow of Tollbooths[OL].[22 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4556

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