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Exact Periodic-Wave Solutions for(2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional KP Equation

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Communications in Theoretical physics 2004年第8期42卷 239-241页

作者： ZHAO Qiang LIU Shi-Kuo FU Zun-Tao school of physics, Peking University, Beijing 100871, China school of physics Peking University Beijing 100871 China

The(2+1)-dimensional Boussinesq equation and(3+1)-dimensional KP equation are studied by using theextended Jacobi elliptic-function *** exact periodic-wave solutions for the two equations are obtained.

关键词： Jacobi elliptic-function method (2+l)-dimensional Boussinesq equation (3+l)-dimensional KP equation periodic-wave solutions

How Fast Could a Proto-pulsar Rotate?

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Chinese Journal of Astronomy and Astrophysics 2002年第6期2卷 533-538页

作者： Ren-Xin Xu, Hong-Guang Wang and Guo-Jun QiaoDepartment of Astronomy, school of physics, Peking University, Beijing 100871 Department of Astronomy School of Physics Peking University Beijing 100871

According to two estimated relations between the initial period and the dynamo-generated magnetic dipole field of pulsars, we calculate the statistical distributions of pulsar initial periods. It is found that proto-pulsars are very likely to have rotation periods between 20 ms and 30 ms, and that most of the pulsars rotate initially at a period < 60 ms. Our result supports the asymmetric neutrino emission model for pulsar kick.

关键词： pulsars neutron stars magnetic fields

Delay-induced coherence bi-resonance-like behavior in stochastic Hodgkin-Huxley neuron networks

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Science China Chemistry 2010年第8期53卷 1762-1766页

作者： HAO YingHang,GONG YuBing,LIN Xiu & MA XiaoGuang school of physics,Ludong University,Yantai 264025,China 1. school of physics Ludong University Yantai 264025 China

In this paper,we study how information transmission delays affect the spiking behavior of electrically coupled stochastic Hodgkin-Huxley (HH) neurons on Newman-Watts *** is found that the spiking behavior becomes the most regular at an optimal time delay,indicating the occurrence of delay-induced coherence resonance-like (CR-like) ***,there are different CR-like types,depending on the membrane patch size of the *** a smaller patch size,only single CR-like behavior occurs;while for a larger patch size,coherence bi-resonance-like (CBR) behavior *** findings show that the delay-induced CR-like behavior is closely related to the channel noise strength,and the coupled neurons may exhibit different spiking behaviors under the interplay of the channel noise and time ***,the channel noise should be taken into account in the study of time delay-related spiking activity in stochastic HH *** work provides new insight into the role of channel noise and information transmission delays in realistic neural systems.

关键词： stochastic HH neuron delay through electric synapse coherence resonance and bi-resonance Newman-Watts network

Exploring non-equilibrium statistical ensembles

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Science Bulletin 2011年第34期56卷 3654-3660页

作者： BI Qiao & LIU Jie Department of physics, school of Science, Wuhan University of Technology, Wuhan 430070, China Department of physics School of Science Wuhan University of Technology

Since Gibbs synthesized a general equilibrium statistical ensemble theory, generalizing the Gibbsian theory to non-equilibrium phenomena has been a dream for some theorists. However, the status of the theory for the non-equilibrium ensemble formalism is not as well established as the Gibbsian ensemble theory. In this work, we explore the formalism behind the non-equilibrium statistical ensemble theory based on the sub-dynamic kinetic equation originating from the Brussels-Austin school and developed further by others. The key is establishing a similarity transformation between Gibbsian ensembles and the sub-dynamic ensemble. Using this way, we study a spin-Boson model with strong coupling. A reduced density operator for the canonical ensemble can be easily obtained and the relevant decoherence-free property is revealed.

关键词： subdynamics statistical ensemble non-equilibrium statistical physics

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

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Science China Chemistry 2010年第1期53卷 226-230页

作者： GONG YuBing,XIE YanHang & HAO YingHang school of physics and Electronic Engineering,Ludong University,Yantai 264025,China 1. school of physics and Electronic Engineering Ludong University Yantai 264025 China

The effect of the non-Gaussian colored noise(NGN) on the dynamics of nonlinear systems has attracted increasing *** work numerically studied the effect of a particular kind of the NGN,mainly in terms of its departure from Gaussian noise,on the rate oscillations(RO) in the catalytic reduction of NO with CO on Pt(100) *** was found that power spectrum density changes non-monotonically and the signal-to-noise ratio shows several peaks with increasing departure,demonstrating the presence of"departure-induced multiple resonance".Since the departure of the NGN determines the probability distribution and hence denotes the type of the noise,the phenomenon of"departure-induced multiple resonance"not only gives multiple enhancements of the RO by virtue of the departure of the NGN,but also implies that,besides Gaussian noise,various other types of noise may enhance the RO in the surface catalytic reaction systems.

关键词： non-Gaussian colored noise catalytic reduction of NO with CO on Pt(100) reaction rate oscillation coherence resonance

Balmer-alpha and Balmer-beta Stark line intensity profiles for high-power hydrogen inductively coupled plasmas

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Chinese physics B 2014年第7期23卷 499-504页

作者：王松柏雷光玖刘东平杨思泽 school of physics and Mechanical&Electrical Engineering Xiamen University College of physics and Information Engineering Fuzhou University Southwestern Institute of physics school of physics and Mechanical & Electrical Engineering Xiamen University

We compare Balmer-alpha （Ha） and Balmer-beta （Hβ） emissions from high-power （1.0-6.0 kW） hydrogen inductively coupled plasmas （ICPs）, and propose region Ⅰ （0.0-2.0 kW）, region Ⅱ （2.0-5.0 kW）, and region Ⅲ （5.0-6.0 kW）. In region Ⅰ, both Ha emission intensity （la） and Hβ emission intensity （1β） increase with radio frequency （RF） power, which is explained by the corona model and Boltzmann＇s law, etc. However, in region II, la almost remains constant while 1β rapidly achieves its maximum value. In region Ⅲ, 1α slightly increases with RF power, while 1β decreases with RF power, which deviates significantly from the theoretical explanation for the Ha and Hβ emissions in region I. It is suggested that two strong electric fields are generated in high-power （2.0-6.0 kW） hydrogen ICPs： one is due to the external electric field of high-power RF discharge, and the other one is due to the micro electric field of the ions and electrons around the exited state hydrogen atoms in ICPs. Therefore, the strong Stark effect can play an important role in explaining the experimental results.

关键词： high-power radio frequency plasma Hα and Hβ spectral lines in hydrogen ICPs Stark effect

Controllable optical superregular breathers in the femtosecond regime

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Chinese physics B 2018年第1期27卷 307-313页

作者：任杨杨战营刘冲杨文力 school of physics Northwest University Shaanxi Key Laboratory for Theoretical physics Frontiers Institute of Modern physics Northwest University

We investigate optical superregular breathers in the femtosecond regime under dispersion management in an inho- mogeneous fiber governed by the nonautonomous higher-order nonlinear Schr6dinger equation （NLSE）. Exact solutions describing the dynamics of superregular breathers are obtained. Furthermore, we discuss the propagation behaviors of controllable superregular breathers, including stabilization and recurrence in an exponential dispersion fiber and a peri- odic distributed fiber system. Particularly, the nonlinear dynamics of superregular modes evolved from an identical initial small-amplitude modulation is analyzed in detail.

关键词： nonlinear wave superregular breather controllable dynamics modulation instability

A Multi-Soliton Solution of the DNLS Equation Based on Pure Marchenko Formalism

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Wuhan University Journal of Natural Sciences 2010年第1期15卷 36-42页

作者： ZHOU Guoquan school of physics and Technology,Wuhan University,Wuhan 430072,Hubei,China school of physics and Technology Wuhan University Wuhan China

By means of some algebraic techniques,especially the Binet-Cauchy formula,an explicit multi-soliton solution of the derivative nonlinear Schrdinger equation with vanishing boundary condition is attained based on a pure Marchenko formalism without needing the usual scattering data except for given N simple poles. The one-and two-soliton solutions are given as two special examples in illustration of the general formula of multi-soliton solution. Their effectiveness and equivalence to other approaches are also demonstrated. Meanwhile,the asymptotic behavior of the multi-soliton solution is discussed in detail. It is shown that the N-soliton solution can be viewed as a summation of N one-soliton solutions with a definite displacement and phase shift of each soliton in the whole process(from t →∞ to t → +∞ ) of the elastic collisions.

关键词： soliton derivative nonlinear Schrdinger (DNLS) equation nonlinear equation Marchenko equation

Nonlinear Refractive Index and Absorption Coefficient of Single-Shell Semiconductor Carbon Nanotube

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Wuhan University Journal of Natural Sciences 2003年第3A期8卷 833-836页

作者： Lu Ni,Xiong Gui\|guang  school of physics and Technology, Wuhan University, Wuhan 430072, Hubei, China Wuhan University School of Physics and Technology Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***)

The nonlinear refractive index and absorption coefficient of single\|shell semiconductor carbon nanotubes(CN s ) are calculated based on the two\|band approximation and Genkin\|Mednis approach. The results of nonlinear refractive index and absorption coefficient reach the order of 10 -8 and 10 -4 cm 2\5W -1 separately, which indicates that CN s have wonderful nonlinear optical properties. Taking into account the temperature effect and overlapping of σ and π orbits, the effect of relaxation term and chiral angle is discussed. The results show that the smaller the relaxation term, the larger the nonlinear absorption coefficient and refractive index. At the same time, CN s with different chiral angles have different results due to their different energy gap.

关键词： nonlinear refractive index nonlinear absorption coefficient relaxation chiral angle