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1.
Based on the considerations of the acknowledgements of the numerous space observations by satellites in the auroral plasma, astrophysics plasmas, spacecraft observations, various plasma models have been framed and revealed different interesting features, like electrostatic structures, solitary waves, double layers, supersolitons, etc. Soliton theory is a very efficient and competent way to describe nonlinear features. Using Viking satellite data in the auroral plasma, we have derived lump soliton solutions of the Kadomstev-Petviashvili (KP) equation by employing Hirota bilinear method. Due to its wide range of applications, the study of lump soliton is very attractive and important too. It has been shown that the lump solitons structures as well as in the one-dimensional form of lump soliton are varied with associated parameters in the auroral magnetized plasma. During the analysis of the features of the lump solitons, it is found that the system parameters play a pivotal role on the lump solitons structures.  相似文献   

2.
Collisionless unmagnetized plasma consisting of a mixture of warm ion-fluid and isothermal-electron is considered, assuming that the ion flow velocity has a weak relativistic effect. The reductive perturbation method has been employed to derive the Korteweg–de Vries (KdV) equation for small – but finite-amplitude electrostatic ion-acoustic waves in this plasma. The semi-inverse method and Agrawal’s method lead to the Euler–Lagrange equation that leads to the time fractional KdV equation. The variational-iteration method given by He is used to solve the derived time fractional KdV equation. The calculations show that the fractional order may play the same rule of higher order dissipation in KdV equation to modulate the soliton wave amplitude in the plasma system. The results of the present investigation may be applicable to some plasma environments, such as space-plasmas, laser-plasma interaction, plasma sheet boundary layer of the earth’s magnetosphere, solar atmosphere and interplanetary space.  相似文献   

3.
There are a lot of objects in space associated with dusty plasma inclusions. Such inclusions may bear a prolonged shape and behave as waveguides for ion-sound waves. In the case of space plasmas, the dust particles can possess both negative charge, due to electron attachment, and positive one, due to photoionization. In this paper the propagation of linear and non-linear ion-sound wave pulses in the dusty plasma waveguides, possessing positive charge, is studied. It has been demonstrated that non-linear dynamics of baseband pulse propagation in plasma waveguide possesses essentially non-solitonic behavior. Namely, propagation of a long ion-sound pulse leads to an excitation of a shock-like wave but not a stable localized nonlinear pulse. Also, when a Korteveg–de Vries (KdV) soliton is incident onto the dusty plasma waveguide, some part of the soliton energy is captured by the waveguide and transformed into a multi-pulse structure. Additionally, an interaction of dusty plasma inclusions with KdV soliton can lead to the occurrence of transverse instabilities of the soliton and its eventual destruction.  相似文献   

4.
This paper introduces an investigation of shocklike soliton or small amplitude Double Layers (DLs) in a collisionless plasma, consisting of positive and negative ions, nonthermal electrons, as well as solar wind streaming protons and electrons. Gardner equation is derived and its shocklike soliton solution is obtained. The model is employed to recognize a possible nonlinear wave at Venus ionosphere. The results indicate that the number densities and velocities of the streaming particles play crucial role to determine the polarity and characteristic features (amplitude and width) of the shocklike soliton waves. An electron streaming speed modifies a negative shocklike wave profile, while an ion streaming speed modulates a positive shocklike wave characteristic.  相似文献   

5.
We analyze the multifractal scaling of the modulus of the interplanetary magnetic field near and far upstream of the Earth’s bow shock, measured by Cluster and ACE, respectively, from 1 to 3 February 2002. The maximum order of the structure function is carefully estimated for each time series using two different techniques, to ensure the validity of our high-order statistics. The first technique consists of plotting the integrand of the pth order structure function, and the second technique is a quantitative method which relies on the power-law scaling of the extreme events. We compare the scaling exponents computed from the structure functions of magnetic field differences with the predictions obtained by the She–Lévêque model of intermittency in anisotropic magnetohydrodynamic turbulence. Our results show a good agreement between the model and the observations near and far upstream of the Earth’s bow shock, rendering support for the modelling of universal scaling laws based on the Kolmogorov phenomenology in the presence of sheet-like dissipative structures.  相似文献   

6.
The GOES Precipitation Index (GPI) technique (Arkin, 1979) for rainfall estimation has been in operation for the last three decades. However, its applications are limited to the larger temporal and spatial scales. The present study focuses on the augmentation on GPI technique by incorporating a moisture factor for the environmental correction developed by Vicente et al. (1998). It consists of two steps; in the first step the GPI technique is applied to the Kalpana-IR data for rainfall estimation over the Indian land and oceanic region and in the second step an environmental moisture correction factor is applied to the GPI-based rainfall to estimate the final rainfall. Detailed validation with rain gauges and comparison with Tropical Rainfall Measuring Mission (TRMM) merged data product (3B42) are performed and it is found that the present technique is able to estimate the rainfall with better accuracy than the GPI technique over higher temporal and spatial domains for many operational applications in and around the Indian regions using Indian geostationary satellite data. Further comparison with the Doppler Weather Radar shows that the present technique is able to retrieve the rainfall with reasonably good accuracy.  相似文献   

7.
介绍了外弹道测量中精度较高的速度修正新方法──辐射计法。其速度(距离变化率)误差是利用与距离误差△R之间的关系得到,而△R由微波辐射计在电波传播路径上直接测量大气辐射亮度温度得到。由于用微波辐射计得到的距离误差△R的标准差一般比常用的折射率预报法和射线描迹法降低1/3到2/3,所以利用本方法得到的距离变化率误差精度也必会比常用方法高,而且辐射计法可在任何方位角和仰角上进行实时修正。  相似文献   

8.
  总被引:1,自引:1,他引:0  
针对X射线脉冲星导航中,传统的扩展卡尔曼滤波(EKF)算法因为线性化需要从而忽略观测模型高阶项导致较大截断误差的问题,提出一种适用于脉冲星导航的改进线性观测方程。首先,详细分析了观测方程简化过程中会造成截断误差的周年视差效应及引力延迟效应的物理意义,介绍了2个高阶项的数学模型,并对2项进行了详细的数值分析。其次,利用泰勒展开等方式,将2个高阶项进行线性化处理,建立一种改进的线性观测方程。最后,利用地球卫星轨道数据,将2个线性观测方程分别应用到脉冲星导航的EKF解算中验证改进线性观测方程的有效性。结果表明,在考虑高阶项影响的条件下,改进的线性观测方程均能保证250 m和2 m/s以内的位置和速度估计误差而且对高阶项变化表现出一定的鲁棒性,但传统的简化线性观测方程却会导致发散。  相似文献   

9.
In this work Photosynthetically Active Radiation (PAR) in oceanic and mediterranean climates is modeled. Twenty-two different models have been developed and tested: eleven Multilinear Regression (MR) models and eleven Artificial Neuron Network (ANN) models, using combinations of variables such as Global Horizontal Irradiance (GHI), Global Extraterrestrial Irradiance (G0), Temperature (T) and Relative Humidity (RH). Data provided by Satellite Application Facility on Climate Monitoring (CM SAF) are used to develop and train the models, while the models have been validated using field data from four stations located in Spain, covering the different study climates.According to the results, zones with different climate conditions need different models, both for the case of MR and ANN. The results show the need of including the GHI in all models in order to obtain accurate estimates; in fact, the presence of more variables only improves slightly the results in mediterranean climate, while in oceanic climate no improvement is observed.On the other hand, comparing MR and ANN models, ANN models did not show better results than those of MR models in no one of the cases studied. Regarding the climate, both types of models are clearly better for the mediterranean case than for the oceanic one. In order to improve the performance of the model for oceanic climate a correction based on the site adaptation technique was carried out. The good results obtained by this technique fully justify its use.The best proposed models provide better performance than other models which are restricted to certain locations. Besides, the clustering technique based on the PAR variable, used in this work, allows obtaining useful models for a whole region. Finally, another advantage of this methodology is that there is no need of ground measurements for its development, except for the site adaptation technique.  相似文献   

10.
The Zakharov–Kuznetzov (ZK) equation is derived for nonlinear electrostatic waves in a weakly magnetized plasma in the presence of anisotropic ion pressure and superthermal electrons. The anisotropic ion pressure is defined using Chew–Goldberger–Low (CGL) while a generalized Lorentzian (kappa) distribution is assumed for the non-thermal electrons. The standard reductive perturbation method (RPM) is employed to derive the two dimensional ZK equation for the dynamics of obliquely propagating low frequency ion acoustic wave. The influence of spectral index (kappa) of non-thermal electron on the soliton is discussed in the presence of anisotropic ion pressure in plasmas. It is found that ion pressure anisotropy and superthermality of electrons affect both the width and amplitude of the solitary waves. On the other hand the magnetic field is found to alter the dispersive property of the plasma only, and hence the width of the solitons is affected while the amplitude of the solitary waves is independent of external magnetic field. The numerical results are also presented for illustrations.  相似文献   

11.
    
通过把标准的二维色散方程中的一阶时间导数替换成Caputo分数阶导数,两个二阶空间导数分别替换成Riemann-Liouville分数阶导数,得到二维空间时间分数阶色散方程.基于两个空间分数阶导数的转移Grünwald有限差分近似,分别构造了逼近二维空间时间分数阶色散方程的隐式差分格式和交替方向隐式差分格式.对两种差分格式分别进行了相容性、稳定性和收敛性分析.应用数学归纳法证明了两种隐式差分格式都是无条件稳定和收敛的并且得到了收敛阶.对两种隐式差分格式的收敛速度和计算复杂度进行了比较.基于以上所构造的差分格式,对精确解已知的一个空间时间分数阶色散方程进行了数值实验模拟,模拟结果验证了理论分析的正确性.  相似文献   

12.
Compressional waves propagating in the partially ionised solar lower atmospheric plasmas can easily steepen into nonlinear waves, including shocks. Here we investigate the effect of weak dispersion generated by Hall currents perpendicular to the ambient magnetic field on the characteristics of shock waves. Our study will also focus on the interplay between weak dispersion and partial ionisation of the plasma. Using a multiple scale technique we derive the governing equation in the form of a Korteweg-de Vries-Burgers equation. The effect of weak dispersion on shock waves is obtained using a perturbation technique. The secular behaviour of second order terms is addressed with the help of a renormalization technique. Our results show that dispersion modifies the characteristics of shock waves and this change is dependent also on the ionisation degree of the plasma. Dispersion can create short lived oscillations in the shocked plasma. The shock fronts become wider with the increase in the number of neutrals in the plasma.  相似文献   

13.
Within a quantum hydrodynamic model and using the reductive perturbation technique, the nonlinear ion-acoustic wave (IAW) excitations due to a moving charged object in an electron-pair-ion quantum plasma are studied both analytically and numerically. In such quantum plasmas we have derived forced Korteweg-de Vries (fKdV) type equation for finite amplitude nonlinear IAWs. The effect of relevant plasma parameters on solitonic excitations is investigated. Numerical simulation shows the generation of advancing solitons ahead of the forcing term traveling at a faster rate with trailing wakes behind the forcing disturbance. It is found that propagation characteristics of nonlinear excitations are significantly affected by quantum parameter. Additionally, we have pursued our analysis by extending it to account for arbitrary amplitude IA solitons, and derived a system of nonlinear differential equations which are analyzed numerically to study the dynamics. Nonlinear analysis predicts the existence of periodic and quasiperiodic nature of the nonlinear system and reveals that the transition from quasiperiodic to periodic behavior occurs due to the variation of quantum diffraction.  相似文献   

14.
线性伪谱模型预测能量最优姿态机动控制方法   总被引:2,自引:0,他引:2  
针对大气层外飞行器大角度姿态机动控制问题,提出了一种能量最优的线性伪谱模型预测大角度姿态机动控制方法。首先,通过离线弹道规划获得满足初始、终端约束且能量最优的姿态机动控制轨迹;然后,以离线弹道为基准对姿态动力学方程进行小扰动线性化处理,获得以状态偏差为自变量的线性误差传播方程;最后,以能量最优作为性能指标,通过高斯伪谱法对原问题进行离散,推导获得满足终端偏差修正的控制解析表达式。数值计算和蒙特卡罗仿真表明,该方法不仅计算精度高、求解速度快,满足实时计算要求,而且具有较强的鲁棒性,能够实时消除各种干扰。此外,在同等控制精度条件下,该方法相对传统线性二次型调节器(LQR)跟踪方法,能量消耗减小10%。   相似文献   

15.
为提高相噪测试系统测量的准确性,本文提出了一种基于高斯白噪声多点注入技术的测试误差修正方法.根据鉴相法测量相位噪声时各环节的误差项分析,构建了系统的误差修正模型.通过对模型输出结果的仿真,计算了锁相环路特性、基带信号处理通路(由LPF、LNA等组成)频响不平坦特性这两个主要误差因素的修正值.同时给出了其它误差项的修正方...  相似文献   

16.
基于摄动轨道的卫星自主天文导航仿真研究   总被引:5,自引:0,他引:5  
针对星光折射间接敏感地平的卫星自主天文导航方法 ,利用推广的卡尔曼滤波方法进行仿真研究。为了准确建立运动模型 ,在系统方程中引入了非球形地球引力中的二阶带谐项 ;在考虑具有指数密度的球状分层大气的基础上 ,建立了以星光视高度为观测量的量测方程。在建立了推广的卡尔曼滤波方程后 ,文章进行了计算机仿真 ,并对仿真结果进行了详细的误差分析 ,结果表明基于摄动轨道的星光折射间接敏感地平的卫星自主天文导航方法能取得较高的导航精度  相似文献   

17.
Asymptotic expansion has been used to simplify the transport of high charge and energy ions for broad beam applications in the laboratory and space. The solution of the lowest order asymptotic term is then related to a Green's function for energy loss and straggling coupled to nuclear attenuation providing the lowest order term in a rapidly converging Neumann series for which higher order collisions terms are related to the fragmentation events including energy dispersion and downshift. The first and second Neumann corrections were evaluated numerically as a standard for further analytic approximation. The first Neumann correction is accurately evaluated over the saddle point whose width is determined by the energy dispersion and located at the downshifted ion collision energy. Introduction of the first Neumann correction leads to significant simplification of the second correction term allowing application of the mean value theorem and a second saddle point approximation. The regular dependence of the second correction spectral dependence lends hope to simple approximation to higher corrections. At sufficiently high energy nuclear cross-section variations are small allowing non-perturbative methods to all orders and renormalization of the second corrections allow accurate evaluation of the full Neumann series.  相似文献   

18.
偏微分方程组的一种化简方法   总被引:1,自引:0,他引:1  
以李群为工具,给出了一种化简两个自变量,两个未知函数的一阶偏微分方程组的方法,在一定条件下,可将偏微分方程组化简为一个阶偏微分方程,若能求出此一阶偏微分方程的解,则只需再解一个一阶常微分方程,即可得出原偏微分方程线的解,该方法可用于某些一阶偏微分方程组的求解,其中包括非定常完全气体一维均熵方程和波动方程。  相似文献   

19.
利用全球导航卫星系统反射信号测量技术(GNSS-R)进行土壤湿度反演过程中,实际接收天线方向性会造成GNSS直反信号相关功率测量偏差。针对地基观测场景下天线方向性造成的相关功率的类余弦振荡问题,提出了基于多项式拟合的信号相关功率修正方法。为了验证所提方法的有效性,开展了地基GNSS-R土壤湿度观测实验,结果表明:基于多项式拟合的相关功率修正可以消除信号相关功率的类余弦振荡,提升GNSS-R土壤湿度反演中的观测数据有效性和反演结果准确性。   相似文献   

20.
We present a Python-based data reduction pipeline package (PLP) for the Immersion GRating INfrared Spectrograph (IGRINS), an instrument that covers the complete H- and K-bands in one exposure with a spectral resolving power of 40,000. The reduction steps carried out by the PLP include flat-fielding, background removal, order extraction, distortion correction, wavelength calibration, and telluric correction using spectra of A type standard stars. As the spectrograph has no moving parts, the PLP automatically reduces the data using predefined functions for the processes of order extraction, distortion correction, and wavelength calibration. Before the telluric correction of the target spectra, the intrinsic hydrogen absorption features of the standard A star are removed with a Gaussian fitting algorithm. The final result is the flux of the target as a function of wavelength. Users can customize the predefined functions for the extraction of the spectrum from the echellogram and adjust the parameters for the fitting functions for the spectra of celestial objects, using “fine-tuning” options, as necessary. Presently, the PLP produces the best results for point-source targets.  相似文献   

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