Travelling Wave Solutions to Stretched Beam's Equation: Phase Portraits Survey

在这份报纸，跟随阶段肖像分析，我们调查身体上在结束戳下面描述一根有弹性的横梁的横向的摆动的一个系统的 integrability。作为结果，我们发现这个系统实际上包括旅行波浪的二个家庭：积极明确、否定明确的速度的亚声、超声的周期的波浪，分别地并且积极明确的速度的局部性的亚声的塑造环的波浪。表示这个系统像精力当描绘它的阶段肖像动力学时，我们证明局部性的旅行挥动的这些 multivalued 作为周期的旅行波浪 asymptotically 趋于的边界答案出现。

Quasi-Local Energy Distribution and Thermodynamics of Reissner-Nordstrom Black Hole Surrounded by Quintessence

We investigate quasi-local energy distribution and thermodynamics of the Reissner-Nordstrm black hole space-time surrounded by quintessence.We use the quasi-local energy distribution from Einstein energy-momentum complex.We plot the variation of the energies,temperature and heat capacity with the state parameter related to the quintessence ω_q.We show that due to the presence of quintessence,the total energy of the outer region as well as the temperature and heat capacity decreases with the increase of the density of quintessence,while the total energy of the black hole region increases.

On the Conversion of High-Frequency Soliton Solutions to a （1＋1）-Dimensional Nonlinear Partial Differential Evolution Equation

从在压力不安下面放松媒介的 barotropic 的动态方程，并且用减少的 perturbative 分析，我们调查 soliton 结构一( 1+1 )维的非线性的部分微分进化( NLPDE )方程部分衍生物(y)(部分衍生物(希腊语字母的第七字)+ u 部分衍生物(y)+( u ( 2 ) /2 )部分衍生物(y)) u +高山哈 u (y)+ u = 0 ，描述不安的高周波的政体。借助于 Hirota 的 bilinearization 方法，因此，强烈取决于一个典型驱散参数的三个典型答案被发掘。

On High-Frequency Soliton Solutions to a （2＋1）-Dimensional Nonlinear Partial Differential Evolution Equation

A (2+1 ) 维的非线性的部分微分进化(NLPDE ) 方程为在活跃 barothropic 媒介放松高率的过程表现为一个模型方程。在符号的计算和 Hirota 的帮助下是方法，这的一些典型独居的波浪答案(2+1 ) 维的 NLPDE 方程被发掘。作为结果，取决于消散的参数，单身者和多珍视的答案被描绘。

Prolongation Structure Analysis of a Coupled Dispersionless System

We address the problem of integrability of a coupled dispersionless system recently introduced by Zhaqilao,Zhao and Li[Chin.Phys.B 18(2009)1780]which physically describes the propagation of electromagnetic fields within an optical nonlinear medium,but also arrives in the physical description of a charged object dynamics in an external magnetic field.Following the prolongation structure analysis developed by Wahlquist and Estabrook,we derive a more general form of Lax pairs of the previous coupled dispersionless system and its concrete nonAbelian Lie algebra resorting to a hidden symmetry.Also,we construct the Bäcklund transformation of the system using the Riccati form of the linear eigenvalue problem.

Energy and Thermodynamics of the Quantum-Corrected Schwarzschild Black Hole

Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M？ller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the Einstein energy differs from M？ller＇s one. Moreover, when increasing the quantum correction factor aa, the difference between Einstein and M？ller energies, the Unruh–Verlinde temperature as well as the heat capacity of the black hole increases while the Hawking temperature remains unchanged.

Quasi-Normal Modes of Gravitational Perturbation around a Reissner-Nordstroem Black Hole Surrounded by Quintessence

We investigate quasi-normal （QN） modes of gravitational perturbation around a Reissner-Nordstroem black hole surrounded by quintessence. The third-order Wentzel-Kramers-Brillouin approximation is used to evaluate QN frequencies. The behavior of the gravitational perturbation is plotted for some frequencies. Due to the presence of quintessence, QN modes of the Reissner-Nordstroem black hole damp at a slower rate.

Hawking radiation from a five-dimensional Lovelock black hole

我们调查用 HamiltonJacobi 方法从一个五维的 Lovelock 黑洞兜售放射。放射的率的行为为紫外修正参数和宇宙论的常数的各种各样的值被阴谋。结果显示出那，由于紫外修正和宇宙论的常数代表的黑暗精力的存在，没有紫外修正或宇宙论的常数，黑洞与案例相比以更慢的率放射。而且，宇宙论的常数的存在在黑洞放射上做紫外修正的效果可以忽略。