In the last 30 days

• Open/close Continuous Spectrum of Trigonometric Rosen-Morse and Eckart Potentials from Free Particle Spectrum

  H. Panahi and H. Pouraram 2011 Commun. Theor. Phys. 55 965 Tag this article

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  The shape invariant symmetry of the Trigonometric Rosen-Morse and Eckart potentials has been studied through realization of so(3) and so(2,1) Lie algebras respectively. In this work, by using the free particle eigenfunction, we obtain continuous spectrum of these potentials by means of their shape invariance symmetry in an algebraic method.

• Open/close Schrödinger Equation with Hulthén Potential Plus Ring-Shaped Potential

  D. Agboola 2011 Commun. Theor. Phys. 55 972 Tag this article

  Article References Full text PDF (121 KB)

  We present the solutions of the Schrödinger equation with the Hulthén potential plus ring-shape potential for ℓ ≠ 0 states within the framework of an exponential approximation of the centrifugal potential. Solutions to the corresponding angular and radial equations are obtained in terms of special functions using the conventional Nikiforov—Uvarov method. The normalization constant for the Hulthén potential is also computed.

• Open/close Infinite Sequence Soliton-Like Exact Solutions of (2 + 1)-Dimensional Breaking Soliton Equation

  Taogetusang et al 2011 Commun. Theor. Phys. 55 949 Tag this article

  Article References Full text PDF (127 KB)

  To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations (NEE(s)), by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptic equation is highly studied and new type solutions and Bäcklund transformation are obtained. Then (2+1)-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type.

• Open/close A Limit Symmetry of Modified KdV Equation and Its Applications

  Zhang Jian-Bing (张建兵) et al 2011 Commun. Theor. Phys. 55 960 Tag this article

  Article References Full text PDF (450 KB)

  In this letter we consider a limit symmetry of the modified KdV equation and its application. The similarity reduction leads to limit solutions of the modified KdV equation. Besides, a modified KdV equation with new self-consistent sources is obtained and its solutions are derived.

• Open/close Painlevé Analysis, Soliton Solutions and Bäcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko—Dubrovsky Equations in Fluid Mechanics via Symbolic Computation

  Xu Peng-Bo (许鹏博) et al 2011 Commun. Theor. Phys. 55 1017 Tag this article

  Article References Full text PDF (2.75 MB)

  This paper is to investigate the extended (2+1)-dimensional Konopelchenko—Dubrovsky equations, which can be applied to describing certain phenomena in the stratified shear flow, the internal and shallow-water waves, plasmas and other fields. Painlevé analysis is passed through via symbolic computation. Bilinear-form equations are constructed and soliton solutions are derived. Soliton solutions and interactions are illustrated. Bilinear-form Bäcklund transformation and a type of solutions are obtained.

• Open/close Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation

  Wu Guo-Cheng (吴国成) 2011 Commun. Theor. Phys. 55 1073 Tag this article

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  Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.

• Open/close Relativistic Treatment of Spinless Particles Subject to a Rotating Deng—Fan Oscillator

  Dong Shi-Hai (董世海) 2011 Commun. Theor. Phys. 55 969 Tag this article

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  The bound state solutions of the Klein—Gordon equation with the rotating Deng—Fan molecular potential are presented by using a proper approximation to the centrifugal term within the framework of equal scalar and vector Deng—Fan potentials. It is shown that the solutions can be expressed by the generalized hyper geometric functions. The normalized wavefunctions are also derived.

• Open/close Geometric Integrability of Two-Component Camassa—Holm and Hunter—Saxton Systems

  Song Jun-Feng and Qu Chang-Zheng 2011 Commun. Theor. Phys. 55 955 Tag this article

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  It is shown that the two-component Camassa—Holm and Hunter—Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are directly constructed. In addition, a class of nonlocal symmetries depending on the pseudo-potentials are obtained.

• Open/close A New Car Following Model: Comprehensive Optimal Velocity Model

  Tian Jun-Fang (田钧方) et al 2011 Commun. Theor. Phys. 55 1119 Tag this article

  Article References Full text PDF (2.39 MB)

  In this paper, we present a new car-following model, i.e. comprehensive optimal velocity model (COVM), whose optimal velocity function not only depends on the following distance of the preceding vehicle, but also depends on the velocity difference with preceding vehicle. Simulation results show that COVM is an improvement over the previous ones theoretically. Then, the stability condition of the model is obtained by the linear stability analysis, which has shown that the model could obtain a bigger stable region than previous models in the phase diagram. Through the nonlinear analysis, the Burgers, Korteweg-de Vries (KdV) and modified KdV (mKdV) equations are derived for the triangular shock wave, the soliton wave, and the kink-antikink soliton wave. At the same time, numerical simulations are also carried out to show that the model could simulate these density waves.

• Open/close Entanglement Fidelity as a Measure of Preservation of Entanglement in Local Noisy Process

  Xiang Yang (向阳) and Xiong Shi-Jie (熊诗杰) 2011 Commun. Theor. Phys. 55 993 Tag this article

  Article References Full text PDF (1.35 MB)

  A new formula of entanglement fidelity has been introduced, which can serve as a measure of the preservation of entanglement between two initially entangled subsystems exposed to local noisy environments. For a simple model we derive analytic expressions of concurrence and entanglement fidelity and draw the relationship between them. We find that such entanglement fidelity exhibits the behavior similar to that of the concurrence in quantum evolutions.