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1.
Three exact non-static solutions of Einstein-Maxwell equations corresponding to a field of flowing null radiation plus an
electromagnetic field are presented. These solutions are non-static generalizations of the well known Kerr-Newman solution.
The current vector is null in all the three solutions. These solutions are the electromagnetic generalizations of the three
generalized radiating Kerr solutions discussed by Vaidya and Patel. The solutions discussed by us describe the exterior gravitational
fields of rotating radiating charged bodies. Many known solutions are derived as particular cases. 相似文献
2.
Stationary axially symmetric solutions of Einstein's field equations generated by the soliton technique are presented in this paper with Laplace's solution as seed. The solutions are asymptotically flat and the Schwarzschild, Kerr and Kerr-NUT metrics are contained in it. The constructed solutions possess an event horizon. The surface area of the event horizon is evaluated. Finally, the solutions presented in this paper are compared with the solutions of Manko. A simple transformation technique is discussed by which one can directly obtain the solutions of Gutsunaev and Manko simply by adjusting a parameter related to the Inverse Scattering Method. 相似文献
3.
The Bosonized Supersymmetric Sawada–Kotera(BSSK) system is constructed by applying bosonization method to a Supersymmetric Sawada–Kotera system in this paper. The symmetries on the BSSK equations are researched and the calculation shows that the BSSK equations are invariant under the scaling transformations, the space-time translations and Galilean boosts. The one-parameter invariant subgroups and the corresponding invariant solutions are researched for the BSSK equations. Four types of reduction equations and similarity solutions are proposed. Period Cnoidal wave solutions, dark solitary wave solutions and bright solitary wave solutions of the BSSK equations are demonstrated and some evolution curves of the exact solutions are figured out. 相似文献
4.
通过引入并扩展 (G′/G)展开法, 构造出(2+1)维非对称Nizhnik-Novikov-Veselov系统的三种形式的新精确通解: 双曲函数通解, 三角函数通解, 有理函数通解. 当双曲函数通解中的常数取特定值时, 通解变为相应孤立波解.
关键词:
G′/G)展开法')" href="#">(G′/G)展开法
(2+1)维非对称Nizhnik-Novikov-Veselov系统
精确解
孤立波解 相似文献
5.
Analytical solutions to the electromagnetic field in a cylindrical shell excited by external axial current 下载免费PDF全文
The solutions to the electromagnetic field excited by a
long axial current outside a conductive and magnetic cylindrical
shell of finite length are studied in this paper. The more accurate
analytical solutions are obtained by solving the proper boundary
value problems by the separation variable method. Then the solutions are
simplified according to asymptotic formulas of Bessel functions.
Compared with the accurate solutions, the simplified solutions do
not contain the Bessel functions and the inverse operation of the
singular matrix, and can be calculated out fast by computers. The
simplified solutions are more suitable for the cylindrical shell of
high permeability and conductivity excited by a high frequency
source. Both of the numerical results and the physical experimental
results validate the simplified solutions obtained. 相似文献
6.
A new kind of solutions namely elliptic function solutions to the (1 + 1) dimensional nonlinear Schrödinger equation (NLSE) in dispersion, nonlinearity and gain management system are obtained. The solutions are the generalization of analytical solutions to one-dimensional NLSE. The properties of the amplitudes and the phases of the solutions are investigated. 相似文献
7.
HUANG Ling 《理论物理通讯》2006,45(5):781-784
The exact solutions of a new coupled Burgers system are studied in
three different ways. The first type of solutions are found thanks
to the coupled Burgers system possessing a simple single Burgers
reduction. The second type of multiple soliton solutions are
revealed via the decouple procedure. The third type of exact
solutions are found by means of a prior ansatz and solutions of
the heat conduction equation. Two different kinds of soliton
fission phenomena of the model are discovered and a special type of
completely elastic soliton collision without phase shift of
the model is also displayed. 相似文献
8.
By using the method of dynamical system, the bidirectional wave equations are considered. Based on this method, all kinds of phase portraits of the reduced travelling wave system in the parametric space are given. All possible bounded travelling wave solutions such as dark soliton solutions, bright soliton solutions and periodic travelling wave solutions are obtained. With the aid of Maple software, numerical simulations are conducted for dark soliton solutions, bright soliton solutions and periodic travelling wave solutions to the bidirectional wave equations. The results presented in this paper improve the related previous studies. 相似文献
9.
A. H. Khater M. M. Hassan E. V. Krishnan Y. Z. Peng 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2008,50(2):177-184
New several classes of exact solutions are obtained in terms of the
Weierstrass elliptic function for some nonlinear partial
differential equations modeling ion-acoustic waves as well as dusty
plasmas in laboratory and space sciences. The Weierstrass elliptic
function solutions of the Schamel equation, a fifth order dispersive
wave equation and the Kawahara equation are constructed. Moreover,
Jacobi elliptic function solutions and solitary wave solutions of
the Schamel equation are also given. The stability of some periodic
wave solutions is computationally
studied. 相似文献
10.
Dieter Maison 《Communications in Mathematical Physics》2005,258(3):657-673
Static, spherically symmetric solutions of the Yang-Mills-Dilaton theory are studied. It is shown that these solutions fall into three different classes. The generic solutions are singular. Besides there is a discrete set of globally regular solutions further distinguished by the number of nodes of their Yang-Mills potential. The third class consists of oscillating solutions playing the role of limits of regular solutions, when the number of nodes tends to infinity. We show that all three sets of solutions are non-empty. Furthermore we give asymptotic formulae for the parameters of regular solutions and confront them with numerical results. 相似文献
11.
A unified approach is presented for finding the travelling wave solutions to one kind of nonlinear evolution equation by introducing a concept of "rank". The key idea of this method is to make use of the arbitrariness of the manifold in Painleve analysis. We selected a new expansion variable and thus obtained a rich variety of travelling wave solutions to nonlinear evolution equation, which covered solitary wave solutions, periodic wave solutions, Weierstrass elliptic function solutions, and rational solutions. Three illustrative equations are investigated by this means, and abundant travelling wave solutions are obtained in a systematic way. In addition, some new solutions are firstly reported here. 相似文献
12.
13.
《Physics letters. A》2002,295(1):35-38
Simple but novel rational solutions of a fifth-order Korteweg–de Vries (KdV)-like equation are presented. Travelling wave solutions, which reduce to these rational solutions in the long-wavelength limit, are also presented. Other aspects of travelling wave solutions are discussed, including the possibility of additional integrations. The truncated Painlevé expansion is developed and it is shown how this and related forms lead to a variety of solutions. 相似文献
14.
We obtain a new class of exact analytic solutions of the BKP equation which are called chain solutions because they are analogous to the, soliton solutions of the KP equation. The rational solutions called lumps are shown to include in this class as a Special limiting situation. 相似文献
15.
A procedure is developed to find static solutions for anisotropic fluid spheres from known static solutions for perfect fluid spheres. The method is used to obtain four exact analytical solutions of Einstein’s equations for spherically symmetric self-gravitating distribution of anisotropic matter. The solutions are matched to the Schwarzschild exterior metric. The physical features of one of the solutions are briefly discussed. Many previously known perfect fluid solutions are derived as particular cases. 相似文献
16.
GE Jian-Ya WANG Rui-Min DAI Chao-Qing ZHANG Jie-Fang 《理论物理通讯》2006,46(4):656-662
In this paper, by means of the variable-coefficient mapping method based on elliptical equation, we obtain explicit solutions of nonlinear Schrodinger equation with variable-coefficient. These solutions include Jacobian elliptic function solutions, solitary wave solutions, soliton-like solutions, and trigonometric function solutions, among which some are found for the first time. Six figures are given to illustrate some features of these solutions. The method can be applied to other nonlinear evolution equations in mathematical physics. 相似文献
17.
含高阶非线性效应的薛定谔方程的精确解研究 总被引:1,自引:0,他引:1
利用孤子理论,研究了含三次和五次非线性项的非线性薛定谔方程,在参数取不同值时得到了方程的新型亮孤子解、新型暗孤子解和新的三角函数周期解。 相似文献
18.
Adnan H. Nayfeh 《Physica A》1977,88(3):551-560
We develop formal solutions for the propagation of transient pulses on a variety of bi-lattice models. The lattices are composed of a finite homogeneous chain connected in series with a different semi-infinite homogeneous chain at a common location occupied by a single mass which is different from the masses of both chains. Exact analytic solutions of this general case are not possible. Some analytic solutions are, however, possible for a variety of special cases. The general solutions are illustrated by numerically inverting the Laplace transform functions. The exact solutions are found to correlate very well with the numerical inversion scheme. Such correlations give confidence in the numerical scheme's predictions of the solutions of the more complicated chains. 相似文献
19.
Shri Ram 《International Journal of Theoretical Physics》1990,29(8):901-906
A method is presented to generate exact solutions of the Einstein field equations in Bianchi type V space-times. The energy-momentum tensor is of perfect fluid type. Starting from particular solutions, new classes of solutions are obtained. The geometrical and physical properties of a class of solutions are discussed. 相似文献
20.
《理论物理通讯》2017,(6)
With symbolic computation, some lump solutions are presented to a(3+1)-dimensional nonlinear evolution equation by searching the positive quadratic function from the Hirota bilinear form of equation. The quadratic function contains six free parameters, four of which satisfy two determinant conditions guaranteeing analyticity and rational localization of the solutions, while the others are free. Then, by combining positive quadratic function with exponential function, the interaction solutions between lump solutions and the stripe solitons are presented on the basis of some conditions. Furthermore, we extend this method to obtain more general solutions by combining of positive quadratic function and hyperbolic cosine function. Thus the interaction solutions between lump solutions and a pair of resonance stripe solitons are derived and asymptotic property of the interaction solutions are analyzed under some specific conditions. Finally, the dynamic properties of these solutions are shown in figures by choosing the values of the parameters. 相似文献