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Abstract
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In this paper, we present soliton-like solutions of the non-linear complex
Klein-Gordon systems in 1 1 dimensions. We will use polar representation to introduce
three different soliton-like solutions including, complex kinks (anti-kinks), radiativeprofiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects
with zero electrical charges. Radiative profiles are objects that move at the speed of
light and therefore, have a zero rest mass. They can be created in kink-anti-kink
collisions and vice versa. Localized wave packet solutions are non-topological objects
for which wave and particle behavior are reconciled in a classical way. For localized
wave packet solutions, the trivial initial phase imposes an uncertainty on the collision
fates.
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