This article is cited in 4 papers

NONLINEAR DYNAMICS

On the nonlinear (3 + 1)-dimensional Klein–Gordon equation allowing oscillating localized solutions

E. G. Ekomasov, R. K. Salimov

Bashkir State University, Ufa, 450076, Russia

Abstract: Certain nonlinear scalar Klein–Gordon equations have been specified for which the existence of long-lived ($t\sim 1000$) stable spherically symmetric solutions in the form of pulsons has been numerically revealed. Their average amplitude of oscillations and the frequency of the fast oscillation mode do not change during the entire time of calculation. It has been shown that the wave solutions of the Klein–Gordon equation with zero mass hold for these equations.

Received: 05.05.2015
Revised: 15.06.2015

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 102:2, 122–124

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