Q-ball solitions with compact support (Q-compactons) arising from the solution of complex nonlinear Klein-Gordon equation

eq1

where

eq2

and

eq3

are representing multiple applications related to the elementary particles . We study their collisons on various speeds and with different sets of parameters in 1-2-3 dimensions.

Our conventions:
0≥λ<1 -- the speed of Q-compacton (λ > 0.75 is considered relativistic);
γ -- the Lorentz factor;
a,b, δ and σ are parameters of the potential, α=3;
0<δ≤1, 0< a<ω^2, b>0,
σ≥0 (σ>0 combined with small ω yields flatons - Q-balls with the quasi-plateau on the top);
>, <, | -- moving to the right, moving to the left, stationary;
+, - -- charge, anti-charge (+/-ω);
n -- number of nodes (if different from 1).