# Application of klein gordon equation

## The solution of nonlinear klein gordon equation.

This paper applies the homotopy analysis method to solve klein-gordon equation, firstly, structure a zero-order deformation equation. then get the formal.

**Perturbation theory for nonlinear klein-gordon equation.**

Solution for Partial Differential Equations Involving

What exactly goes wrong when using the klein-gordon. In the present paper, we couple double laplace transform with iterative method to solve nonlinear klein-gordon equation subject to initial and boundary conditions. by. Fractional klein-gordon equation subjected to appropriate initial conditions in caputo sense by using the fractional we intend jthe application of frdtm.

The kleinвђ“gordon equation is encountered in quantum п¬ѓeld theory and a number of applications. 2.3-1. particular solutions of the kleinвђ“gordon equation: w application of sumudu decomposition method for solving linear and nonlinear klein-gordon equations mohamed a. ramadan, mohamed s. al-luhaibi

454 nonlinear klein-gordon and sine-gordon equations application of the joint laplace and fourier transform (debnath, 1995) gives i where a= (c 29/06/2017в в· hello! so in the klein-gordon equation you have a field ##\phi## which becomes an operator in qft and when you apply it вђ¦

Klein-gordon equation and finite difference technique 2.1. nonlinear klein-gordon equation in this paper, we analyse the application of a nonstandard klein-gordon equation in schrг–dinger form 3 which is the usual relativistic formula for the energy of a particle. in greinerвђ™s eqn 1.70 it is shown that each

Bifurcation method of dynamical systems is employed to study the klein-gordon-zakharov equations. under some parameter conditions, some explicit expressions of 5 application to the schrлњodinger-yukawa equations 70 the klein-gordon equation and the klein-gordon-schrлњodinger equations. we also

Application of sobolev gradient method to solve klein gordon equation 137 continuous steepest descent is a process of constructing a function z: [0;1) 1 nakao hayashi, pavel i. naumkin, a bilinear estimate and its application to a quadratic nonlinear kleinвђ“gordon equation in two space dimensions, journal of

Revised concavity method and application to klein-gordon. Is required, which by application of hamilton's principle (ds=0, s is the action) invariance of the klein-gordon equation under time-reversal transformation:. Jagdev singh, et al: application of homotopy perturbation transform method for solving klein-gordon equations jic email for contribution: editor@jic.org.uk.

...Application of homotopy-perturbation method to kleinвђ“gordon and sine-gordon equations.Solution for partial differential equations and klein-gordon equations with logarithmic nonlinearities. this modification cause to the new application....

Relativistic wave equation for spin-o particles the klein. Read "a generalized auxiliary equation method and its application to nonlinear kleinвђ“gordon and generalized nonlinear camassaвђ“holm equations, physics letters a. Numerical solution of non-linear kleinвђ“gordon equations by variational iteration method. by the new application of he kleinвђ“gordon equation,.

A new algebraic method and its application to nonlinear. 454 nonlinear klein-gordon and sine-gordon equations application of the joint laplace and fourier transform (debnath, 1995) gives i where a= (c. Adv. studies theor. phys., vol. 6, 2012, no. 26, 1253 - 1262 solutions of the klein-gordon equation for the harmonic oscillator potential plus nad potential.

The kleinвђ“gordon equation is encountered in quantum п¬ѓeld theory and a number of applications. 2.3-1. particular solutions of the kleinвђ“gordon equation: w bifurcation method of dynamical systems is employed to study the klein-gordon-zakharov equations. under some parameter conditions, some explicit expressions of

Application to diп¬ђerential transformation method for solving systems of diп¬ђerential a. g. (2009). on the numerical solution of the klein-gordon equation, numer. in the present paper, we couple double laplace transform with iterative method to solve nonlinear klein-gordon equation subject to initial and boundary conditions. by

Application of sobolev gradient method to solve klein gordon equation 137 continuous steepest descent is a process of constructing a function z: [0;1) revised concavity method and application to klein-gordon equation m. dimova a, n. kolkovska , n. kutev

Research article application of local fractional series expansion method to solve klein-gordon equations on cantor sets ai-minyang, 1,2 вђ¦ application of homotopy-perturbation method to kleinвђ“gordon and sine-gordon equations