The modified decomposition method has been implemented for solving a coupled Klein-Gordon Schrödinger equation. We consider a system of coupled Klein-Gordon Schrödinger equation with appropriate initial values using the modified decomposition method. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions of coupled Klein-Gordon Schr...

The purpose of this article is twofold. First we give a very robust method for proving sharp time-decay estimates the three most classical models dispersive partial differential equations—the wave, Klein–Gordon, and Schrödinger equations, on curved geometries—showing under general assumptions exact same decay as Euclidean case. Then extend these properties to case boundary value problems.

It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) a consequence fact an associated planar ordinary equation (ODE) has certain types defined all time. In this paper we address problem persistence TWS given PDE under small perturbations. Our main results deal with situation where ODE center and, as consequence, original continuum p...

We show asymptotic completeness for the charged Klein–Gordon equation in exterior De Sitter–Reissner–Nordström spacetime when product of charge black with Klein-Gordon field is small enough. then interpret scattering as transports along principal null geodesics a Kaluza–Klein extension original spacetime.