The Klein-Gordon Equation
On a Modified Klein Gordon Equation
... We consider a modified Klein-Gordon equation that arises at ultra high energies. In a suitable approximation it is shown that for the linear potential which is of interest in quark interactions, ...
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Tensor Formulation of Klein-Gordon Equation
... ′ , ′ . It has been proved that the fields , and ′ , ′ have the same properties as those of the vectors , , components of electromagnetic field. In development of the above ideas, in the present work, we also wrote ...
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Exact Solutions for Generalized Klein-Gordon Equation
... Generalized Klein-Gordon equation, by means of the method, three types of exact traveling wave solutions are obtained, including the hyperbolic functions, trigonometric and rational function ...of ...
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Breather solutions of the cubic Klein Gordon equation
... which are weakly localized in space. Various families of such “breather” solutions are shown to bifurcate from any given nontrivial stationary solution. The construction of weakly lo- calized breathers in three space ...
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Analytical solutions for the fractional Klein-Gordon equation
... Abstract In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary condi- tions, contain Dirichlet, ...
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Derivation of Klein Gordon Equation for Frictional Medium
... c Department of Physics, College of Science, Sudan University of Science and Technology, Sudan Abstract The expression for a wave function in a conducting medium together with relativistic energy momentum relation is ...
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Numerical analysis for the Klein Gordon equation with mass parameter
... derivative; Klein-Gordon equation; stability analysis 1 Introduction The concept of differentiation as a convolution of some natural laws, like power law, ex- ponential decay law and Mittag-Leffler law, ...
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The Finite Difference Methods for –Nonlinear Klein Gordon Equation
... Abstract:- Klein Gordon equation has been solved numerically by using fully implicit finite difference method (FIFDM) and exponential finite difference method (ExpFDM) and we found that both methods ...
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Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement
... the Klein-Gordon equation with exponential potential, which is written as a first order system of equations by using the 3+1 formulation of the general ...
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The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... the Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...the Klein-Gordon for a num- ber of special potential has been of great interests in the recent ...The ...
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Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
... Abstract In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon ...
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Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... Nonlinear Klein-Gordon Equation ...differential equation appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, ma- thematical biology and ...
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Sharp energy criteria of blow up for the energy critical Klein Gordon equation
... It is well known that the scaling invariance brings about a lot of algebraic or geometric structures and simplifications, which are significant to analyze the nonlinear waves (see [, , ]). The nonlinear ...
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Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... Abstract In this paper, the homotopy analysis method is applied to obtain the solution of nonlinear fractional partial differential equations. The method has been successively provided for finding approximate analytical ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ...
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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ...
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Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... * Correspondence: [email protected] December 2, 2016 Abstract In the present study, we derive a new B-spline technique namely trigono- metric B-spline collocation algorithm to solve some initial boundary value ...
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Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... Abstract This paper’s purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the ...
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Solutions of the Space Time Fractional Foam Drainage Equation and the Fractional Klein Gordon Equation by Use of Modified Kudryashov Method
... Serife Muge Ege 1 , Emine Misirli 2 Department of Mathematics, Ege University, Izmir, Turkey 1, 2 Email: [email protected], 1 [email protected] 2 Abstract- In this work, we handle the space-time ...
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Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... Abstract. The extended (G’/G)-expansion method can be used to construct exact traveling wave solutions of non-linear evolution equations. In this paper, we explore new application of this method to non-linear ...
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