2017年, 第67卷, 第05期　
刊出日期：2017-05-01

  

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  Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

  吴剑文, 楼森岳, 俞军

  理论物理通讯. 2017, 67(05): 467-472.

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  The nonlocal symmetries of the Burgers equation are explicitly given by the truncated Painlevé method. The auto-Bäcklund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. Furthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.
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  Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada-Kotera Equation

  黄丽丽, 陈勇

  理论物理通讯. 2017, 67(05): 473-478.

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  In this paper, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera equation is studied by searching for positive quadratic function solutions to the associated bilinear equation. To guarantee rational localization and analyticity of the lumps, some sufficient and necessary conditions are presented on the parameters involved in the solutions. Then, a completely non-elastic interaction between a lump and a stripe of the (2+1)-dimensional Sawada-Kotera equation is obtained, which shows a lump solution is drowned or swallowed by a stripe soliton. Finally, 2-dimensional curves, 3-dimensional plots and density plots with particular choices of the involved parameters are presented to show the dynamic characteristics of the obtained lump and interaction solutions.
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  Exact Solutions to (3+1) Conformable Time Fractional Jimbo-Miwa, Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations

  Alper Korkmaz

  理论物理通讯. 2017, 67(05): 479-482.

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  Exact solutions to conformable time fractional (3+1)-dimensional equations are derived by using the modified form of the Kudryashov method. The compatible wave transformation reduces the equations to an ODE with integer orders. The predicted solution of the finite series of a rational exponential function is substituted into this ODE. The resultant polynomial equation is solved by using algebraic operations. The method works for the Jimbo-Miwa, the Zakharov-Kuznetsov, and the modified Zakharov-Kuznetsov equations in conformable time fractional forms. All the solutions are expressed in explicit forms.
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  An Efficient Numerical Solution of Nonlinear Hunter-Saxton Equation

  Kourosh Parand, Mehdi Delkhosh

  理论物理通讯. 2017, 67(05): 483-492.

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  In this paper, the nonlinear Hunter-Saxton equation, which is a famous partial differential equation, is solved by using a hybrid numerical method based on the quasilinearization method and the bivariate generalized fractional order of the Chebyshev functions (B-GFCF) collocation method. First, using the quasilinearization method, the equation is converted into a sequence of linear partial differential equations (LPD), and then these LPDs are solved using the B-GFCF collocation method. A very good approximation of solutions is obtained, and comparisons show that the obtained results are more accurate than the results of other researchers.
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  Spatio-Temporal Deformation of Kink-Breather to the (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation

  宋莉莉, 蒲志林, 戴正德

  理论物理通讯. 2017, 67(05): 493-497.

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  In the paper, the rational breather soliton and kink solitary wave solution of the (2+1)-dimensional PBLMP equation are obtained by adopting Hirota bilinear method and selecting different test functions. Furthermore, it has been found that the fusion and degeneration of the kink solitary wave occur when interaction between the rational breather soliton and the kink solitary wave happens. These phenomena are very helpful in researching soliton dynamical complexity in the higher dimensional systems.
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  Deterministic Remote State Preparation via the χ State

  张佩, 李娴, 马松雅, 瞿治国

  理论物理通讯. 2017, 67(05): 498-506.

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  Two deterministic schemes using the χ state as the entangled channel are put forward to realize the remote preparation of arbitrary two- and three-qubit states. To design the schemes, we construct sets of ingenious measurement bases, which have no restrictions on the coefficients of the prepared state. At variance with the existing schemes via the χ state, the success probabilities of the proposed schemes are greatly improved.
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  Information Leakage in Quantum Dialogue by Using Non-Symmetric Quantum Channel

  高干, 李伟艳, 王悦

  理论物理通讯. 2017, 67(05): 507-510.

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  In this paper [Commun. Theor. Phys. 53 (2010) 648], Zhan et al. proposed a quantum dialogue protocol by using non-symmetric quantum channel. We study the security of the protocol and find that it has the drawback of information leakage. That is, Zhan et al.'s protocol is proved to be insecure by us.
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  First-Order Quantum Phase Transition for Dicke Model Induced by Atom-Atom Interaction

  赵秀琴, 刘妮, 梁九卿

  理论物理通讯. 2017, 67(05): 511-519.

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  In this article, we use the spin coherent state transformation and the ground state variational method to theoretically calculate the ground function. In order to consider the influence of the atom-atom interaction on the extended Dicke model's ground state properties, the mean photon number, the scaled atomic population and the average ground energy are displayed. Using the self-consistent field theory to solve the atom-atom interaction, we discover the system undergoes a first-order quantum phase transition from the normal phase to the superradiant phase, but a famous Dicke-type second-order quantum phase transition without the atom-atom interaction. Meanwhile, the atom-atom interaction makes the phase transition point shift to the lower atom-photon collective coupling strength.
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  Nonlinear Waves on Localized and Periodic Backgrounds with Time-Space Modulation

  刘美坤, 杨战营, 杨文力

  理论物理通讯. 2017, 67(05): 520-526.

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  We present one family of general analytical solutions for the generalized nonlinear Schrödinger equation with time-space modulation via the method of a combination of the Darboux transformation and similarity transformation. Nonlinear waves on different localized and periodic backgrounds depending on the corresponding nonlinearity modulations are obtained. In particular, we demonstrate the existence and property of localized modes on a double-periodic background under a special designed optical lattice potential. Our results may raise the possibility of related experiments and potential applications in nonlinear optics and Bose-Einstein condensates.
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  Inverse Scattering Transform of the Coupled Sasa-Satsuma Equation by Riemann-Hilbert Approach

  吴建平, 耿献国

  理论物理通讯. 2017, 67(05): 527-534.

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  The inverse scattering transform of a coupled Sasa-Satsuma equation is studied via Riemann-Hilbert approach. Firstly, the spectral analysis is performed for the coupled Sasa-Satsuma equation, from which a Riemann-Hilbert problem is formulated. Then the Riemann-Hilbert problem corresponding to the reflection-less case is solved. As applications, multi-soliton solutions are obtained for the coupled Sasa-Satsuma equation. Moreover, some figures are given to describe the soliton behaviors, including breather types, single-hump solitons, double-hump solitons, and two-bell solitons.
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  Magnetic Effect Versus Thermal Effect on Quark Matter with a Running Coupling at Finite Densities

  杨丽, 温新建

  理论物理通讯. 2017, 67(05): 535-541.

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  We investigate the quark matter in a strong magnetic field in the framework of SU(2) NJL model with a magnetic-field-dependent coupling. The spin polarization, the entropy per baryon, and the energy are studied by analyzing the competition of the magnetic effect and the thermal effect. The stronger magnetic field can enhance the spin polarization, arrange quarks in a uniform spin orientation, and change the energy per baryon drastically. However, it can hardly affect the entropy per baryon, which is dominated by the temperature. As the temperature increases, more quarks will be excited from the lowest Landau level up to higher Landau levels.
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  Borromean Windows for Three-Particle Systems under Screened Coulomb Interactions

  姜子实, 宋秀丹, 周林, Sabyasachi Kar

  理论物理通讯. 2017, 67(05): 542-548.

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  We have carried out calculations to search Borromean windows (BWs) for 11 different three-body systems interacting with screened Coulomb (Yukawa-type) potentials using Hylleraas-type wave functions within the framework of a variational approach. The critical values of the screening parameters for the ground states of the systems under consideration are reported for which the three-body systems are stable, while all the possible fragments are unbound; that is, it shows windows for Borromean binding.
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  Isotopic Effects on Stereodynamics of the C⁺+H₂→CH⁺+H Reaction

  郭璐, 杨云帆, 范晓星, 马凤才, 李永庆

  理论物理通讯. 2017, 67(05): 549-553.

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  The effects of isotope substitution on stereodynamic properties for the reactions C⁺+H₂/HD/HT→CH⁺+H/D/T have been studied applying a quasi classical trajectory method occurring on the new ground state CH₂⁺ potential energy surface [J. Chem. Phys. 142 (2015) 124302]. In the center of mass coordinates applying the quasi classical trajectory method to investigate the orientation and the alignment of the product molecule. Differential cross section and three angle distribution functions P(θ_r), P(φ_r ), P(θ_r,φ_r) on the potential energy surface that fixed the collision energy with a value is 40 kcal/mol have been studied. The isotope effect becomes more and more important with the reagent molecules H₂ changing into HD and HT. P(θ_r,φ_r) as the joint probability density function of both polar angles θ_r and φ_r, which can illustrate more detailed dynamics information. The isotope effect is obvious influence on the properties of stereodynamics in the reactions of C⁺+H₂/HD/HT→CH⁺+H/D/T .
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  Entropy Generation Analysis in Convective Ferromagnetic Nano Blood Flow Through a Composite Stenosed Arteries with Permeable Wall

  Noreen Sher Akbar, Adil Wahid Butt

  理论物理通讯. 2017, 67(05): 554-560.

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  The study of heat transfer is of significant importance in many biological and biomedical industry problems. This investigation comprises of the study of entropy generation analysis of the blood flow in the arteries with permeable walls. The convection through the flow is studied with compliments to the entropy generation. Governing problem is formulized and solved for low Reynold's number and long wavelength approximations. Exact analytical solutions have been obtained and are analyzed graphically. It is seen that temperature for pure water is lower as compared to the copper water. It gains magnitude with an increase in the slip parameter.
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  Elastic Deformation Analysis on MHD Viscous Dissipative Flow of Viscoelastic Fluid: An Exact Approach

  Z. Iqbal, Zaffar Mehmood, Bilal Ahmad

  理论物理通讯. 2017, 67(05): 561-568.

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  This communication is devoted to analyze elastic deformation on electrically conducted viscoelastic fluid in the presence of viscous dissipation effects. Non-linear analysis is computed through exact solutions for velocity, temperature and concentration profiles. Special emphasis is provided for elastic deformation in the presence of magnetohydrodynamics effects. Concentration profile is discussed significantly in the presence constructive and destructive chemical reaction. Results are displayed through graphs and discussed for physical parameters that are used in present analysis. Notable findings include that temperature and thermal boundary layer thickness is an increasing function of Prandtl number and a decreasing function of elastic deformation. In addition, heat transfer rate is enhanced by increasing the conjugate parameter (γ) which measures the strength of surface heating.
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  Controlling Thermodynamic Properties of Ferromagnetic Group-IV Graphene-Like Nanosheets by Dilute Charged Impurity

  Mohsen Yarmohammadi, Kavoos Mirabbaszadeh

  理论物理通讯. 2017, 67(05): 569-576.

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  Using the Kane-Mele Hamiltonian, Dirac theory and self-consistent Born approximation, we investigate the effect of dilute charged impurity on the electronic heat capacity and magnetic susceptibility of two-dimensional ferromagnetic honeycomb structure of group-IV elements including silicene, germanene and stanene within the Green's function approach. We also find these quantities in the presence of applied external electric field. Our results show that the silicene (stanene) has the maximum (minimum) heat capacity and magnetic susceptibility at uniform electric fields. From the behavior of theses quantities, the band gap has been changed with impurity concentration, impurity scattering strength and electric field. The analysis on the impurity-dependent magnetic susceptibility curves shows a phase transition from ferromagnetic to paramagnetic and antiferromagnetic phases. Interestingly, electronic heat capacity increases (decreases) with impurity concentration in silicene (germanene and stanene) structure.
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  Effects of Interfaces on Dynamics in Micro-Fluidic Devices: Slip-Boundaries' Impact on Rotation Characteristics of Polar Liquid Film Motors

  姜素蓉, 刘中强, 他玛·阿摩司·依侬, 孔祥木

  理论物理通讯. 2017, 67(05): 577-589.

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  A new approach for exploring effects of interfaces on polar liquids is presented. Their impact on the polar liquid film motor (PLFM)-a novel micro-fluidic device-is studied. We account for the interface's impact by modeling slip boundary effects on the PLFM's electro-hydro-dynamical rotations. Our analytical results show as k=l_s/R increases (with l_s denoting the slip length resulting from the interface's impact on the film's properties, k>-1 and R denoting the film's radius): (a) PLFMs subsequently exhibit rotation characteristics under "negative-", "no-", "partial-" and "perfect-" slip boundary conditions; (b) The maximum value of the linear velocity of the steady rotating film increases linearly and its location approaches the film's border; (c) The decay of the angular velocities' dependency on the distance from the center of the film slows down, resulting in a macroscopic flow near the boundary. With our calculated rotation speed distributions consistent with the existing experimental ones, research aiming at fitting computed to measured distributions promises identifying the factors affecting l_s, e.g., solid-fluid potential interactions and surface roughness. The consistency also is advantageous for optimizing PLFM's applications as micro-washers, centrifuges, mixers in the lab-on-a-chip.
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  Anharmonic Properties of Aluminum from Direct Free Energy Interpolation Method

  赵志国, 孙俊生, 张修路, 杨海峰, 刘中利

  理论物理通讯. 2017, 67(05): 590-594.

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  We compare the direct free energy interpolation (DFEI) method and the quasi-harmonic approximation (QHA) in calculating of the equation of states and thermodynamic properties of prototype Al. The Gibbs free energy of Al is calculated using the DFEI method based on the high-temperature phonon density of states reduced from classical molecular dynamics simulations. Then, we reproduce the thermal expansion coefficients, the specific heat, the isothermal bulk modulus of Al accurately. By comparing the results from the DFEI method and the QHA, we find that the DFEI method is indeed more accurate in calculating anharmonic properties than the QHA.