In this thesis we study the asymptotic properties for the solution of the Cauchy problem for the Klein-Gordon equation with non-effective time-dependent potential. The main goal was define a suitable energy related to ...

We consider dissipation in a recently proposed nonlinear Klein-Gordon dynamics that admits exact time-dependent solutions of the power-law form ei(kx>wt) q , involving the q-exponential function naturally arising within ...

We analyze the dynamics of scalar particles in gravity's rainbow considering the space–time of a cosmic string in this modified gravity. Thus, we solve the Klein–Gordon equation for two types of potential in which two ...

We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive Sq entropies. Our present contribution is in line with recent developments, where nonlinear ...

The oscillations are non-singular and asymptotically flat solutions to the Einstein-Klein-Gordon coupled equations for a real scalar field X with a potential V (X) where both the metric and the scalar field are periodically ...

We introduce a nonlinear extension of Proca?s field theory for massive vector (spin 1) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions of the Schrödinger, ...

The structure of additional electromagnetic fields to the Aharonov-Bohm field, for which the Schrodinger, Klein-Gordon, and Dirac equations can be solved exactly are described and the corresponding exact solutions are ...