نتایج جستجو برای: klein gordon equations

تعداد نتایج: 255142  

Journal: :Journal of Computational and Applied Mathematics 2007

Journal: :International Journal of Modern Physics A 2010

2002
Karima R. Khusnutdinova

A system of coupled Klein-Gordon equations is suggested to model onedimensional nonlinear wave processes in a bi-layer. The type of coupling depends on the type of the interface and constitutes an arbitrary element of the Lie group classification problem, which is solved for these equations. The classification results are used to find conservation laws and particular invariant solutions.

1996
D. G. Barci C. G. Bollini L. E. Oxman

We define, in a consistent way, non-local pseudo-differential operators acting on a space of analytic functionals. These operators include the fractional derivative case. In this context we show how to solve homogeneous and inhomogeneous equations associated with these operators. We also extend the formalism to d-dimensional space-time solving, in particular, the fractional Wave and Klein-Gordo...

2015
S. Aseeri O. Batrasev M. Icardi B. Leu A. Liu N. Li B. K. Muite E. Müller B. Palen M. Quell H. Servat P. Sheth R. Speck M. Van Moer J. Vienne

The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many other partial differential equations. In this study, the library 2DECOMP&FFT is used in a Fourier spectral scheme to solve the Klein-Gordon equation and strong scaling of the code is examined on thirteen different machi...

2001
Sean A. Hayward

We show that the black hole perturbations of the Hayward static solution to the massless Einstein-Klein-Gordon equations are actually gauge artifacts resulting from the linearization of a coordinate transformation. In a recent paper [1], Hayward discussed a homothetic, static solution to the massless Einstein-Klein-Gordon equations. With the spherically symmetric ansatz ds = rdΩ − 2edxdx (1) (w...

2012
B. S. Ahmed

The nonlinear coupled Klein-Gordon-Schr dinger equations describes a system of conserved scalar nucleons interacting with neutral scalar Mesons coupled with Yukawa interaction method . In this paper we derive a finite element scheme to solve these equations, we test this method for stability and accuracy, many numerical tests have been given to show the validity of the scheme.

2006
W. Chen H. Lü C. N. Pope

The remarkable and unexpected separability of the Hamilton-Jacobi and Klein-Gordon equations in the background of a rotating four-dimensional black hole played an important rôle in the construction of generalisations of the Kerr metric, and in the uncovering of hidden symmetries associated with the existence of Killing tensors. In this paper, we show that the Hamilton-Jacobi and Klein-Gordon eq...

Journal: :J. Computational Applied Mathematics 2015
Fukang Yin Tian Tian Junqiang Song Min Zhu

Klein/Sine-Gordon equations are very important in that they can accurately model many essential physical phenomena. In this paper, we propose a new spectral method using Legendre wavelets as basis for numerical solution of Klein\Sine-Gordon Equations. Due to the good properties of wavelets basis, the proposed method can obtain good spatial and spectral resolution. Moreover, the presented method...

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