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1.
The small amplitude dust ion-acoustic double layers in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains are investigated theoretically. Using the pseudo-potential approach and reductive perturbation method, an energy integral equation for the system has been derived and its solution in the form of double layers is obtained. The results appear that the existence regime of the double layer is very sensitive to the plasma parameters, e.g., electron nonextensivity,negative-to-positive ion number density ratio etc. It has been observed that for the selected set of parameters, the system supports rarefactive,(compressive) double layers depending upon the degree of nonextensivity of electrons.  相似文献   
2.
We study the linear and nonlinear properties of two-dimensional matter-wave pulses in disk-shaped superfluid Fermi gases.A Kadomtsev-Petviashvili I(KPI) solitary wave has been realized for superfluid Fermi gases in the limited cases of Bardeen-Cooper-Schrieffer(BCS) regime,Bose-Einstein condensate(BEC) regime,and unitarity regime.Onelump solution as well as one-line soliton solutions for the KPI equation are obtained,and two-line soliton solutions with the same amplitude are also studied in the limited cases.The dependence of the lump propagating velocity and the sound speed of two-dimensional superfluid Fermi gases on the interaction parameter are investigated for the limited cases of BEC and unitarity.  相似文献   
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用一维Frenkel-Kontorova模型,对相互接触的两个单原子分子链具有相对运动趋势时所产生的最大静摩擦力进行了研究.分别在相邻原子的距离与周期势场的周期比b/a为可公度(commensurate)、黄金分割(golden mean)、螺旋分割(spiral mean)三种情况下,描述了特殊垫底势力的振幅A与分子链静摩擦力的关系,在特殊垫底势力的作用下上层原子链弹性系数K对静摩擦力的影响.研究表明,垫底势力的形式对静摩擦力的大小有很重要的影响. 关键词: Frenkel-Kontorova模型 静摩擦力  相似文献   
5.
An exact solution of Fisher equation and its stability   总被引:1,自引:0,他引:1       下载免费PDF全文
段文山  杨红娟  石玉仁 《中国物理》2006,15(7):1414-1417
In this paper, the Fisher equation is analysed. One of its travelling wave solution is obtained by comparing it with KdV-Burgers (KdVB) equation. Its amplitude, width and speed are investigated. The instability for the higher order disturbances to the solution of the Fisher equation is also studied.  相似文献   
6.
段文山 《中国物理》2003,12(5):479-482
By considering both the dust temperature and the dust charge variation in dusty plasma with vortex-like ion distribution, we obtained a modified Korteweg-de Vries equation. It indicates that the effect of dust charge variation can cause the one-dimensional soliton amplitude to become larger, and the dust temperature can cause the soliton amplitude to become larger as well. Moreover, as the dust temperature increases, the soliton amplitude will increase.  相似文献   
7.
We study the nonlinear solitary wave solution under the transverse perturbations for a system of coupled nonlinear electrical transmission lines.In the continuum limit and suitably scaled coordinates,the voltage on the system is described by a modified Zakharov-Kuznetsov equation.The cut-off frequency of the growth rate for the solitary waves under transverse perturbations has been analytically obtained.It is in agreement with the cases P=1/2 and p=1 which have been studied previously.  相似文献   
8.
韩秀琴  姜虹  石玉仁  刘妍秀  孙建华  陈建敏  段文山 《物理学报》2011,60(11):116801-116801
文章基于一维Frenkel-Kontorova模型,研究了边界原子的初始速度对原子链运动状态的影响,数值模拟结果表明:当v1时,原子处于"振荡区",当v12时,原子处于"混沌区",当v>v2时,原子处于 "均匀区". 同时我们发现临界速度v1和v2随原子数目和垫底势高度的变化而变化. 关键词: Frenkel-Kontorova(FK)模型 相变  相似文献   
9.
石玉仁  汪映海  杨红娟  段文山 《物理学报》2007,56(12):6791-6796
利用同伦分析法求解了修正的Kadomtsev-Petviashvili方程, 得到了它的近似孤立波解, 该解与精确解符合得非常好.结果表明,同伦分析法在求解高维非线性演化方程的孤立波解时, 仍然是一种行之有效的方法. 关键词: 同伦分析法 修正的Kadomtsev-Petviashvili方程 孤立波解  相似文献   
10.
A nonlinear Schrdinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident envelope solitary wave due to impurities has also been investigated. It is found that the magnitudes of both the reflection and the transmission not only depend on the characters of impurity materials, the wave number, the incident wave amplitude, but also on the impurity number. This can be used to detect the character and the number of the impurity materials in the bead chain by measuring the reflection and the transmission of an incident pulse.  相似文献   
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