solutions of the perturbed klein-gordon equations

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Internal Degrees of Freedom in Perturbed Nonlinear Klein–gordon Equations

We investigate the kink solutions to the generalized nonlinear Klein-Gordon equation in the presence of inhomogeneous forces and nonlocal operators. We have found that the number of kink internal modes can depend on the asymptotic behavior of the kink solution for large values of |x| . A list of mechanisms that are capable to create new kink internal modes would contain some of the following it...

Perturbed Coulombic potentials in Dirac and Klein-Gordon equations

A relativistic extension of our pseudo-shifted l–expansion technique is presented to solve for the eigenvalues of Dirac and Klein-Gordon equations. Once more we show the numerical usefulness of its results via comparison with available numerical integration data.

Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations

We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the loss term) in the nonlinear Klein-Gordon equations. By a change of the variables that cancel the dissipation term we are able to write the Lagrangian density and then, calculate the Lagrangian as a function of collective variables. We use the Lagrangian formalism togethe...

Solitary Waves for Klein-Gordon-Schrödinger Equations with Perturbed Term

In this paper we present numerical solutions by the fourth order implicit finite difference scheme to nonlinear Klein-Gordon-Schrödinger equations with a perturbed term. We discuss the accuracy and stability of the scheme. Numerical tests are used to assess the performance of the scheme.

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.