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Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa- tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find ...
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation "2 + W′( ) = 0 in a bounded domain D.
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy a...
We present some numerical findings concerning the nature of the blowup vs. global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation in three dimensions for radial data. The co...
In this paper we discuss the nonlinear Klein-Gordon equation and we derive the new traveling wave solutions by applying trigonometric function series method. Also, they are complex linear combinations...

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