  We construct Q-ball solutions from a model consisting of one massive scalar
field $\xi$ and one massive complex scalar field $\phi$ interacting via the
cubic couplings $g_1 \xi \phi^{*} \phi + g_2 \xi^3$, typical of
Henon-Heiles-like potentials. Although being formally simple, these couplings
allow for Q-balls. In one spatial dimension, analytical solutions exist, either
with vanishing or non vanishing $\phi$. In three spatial dimensions, we
numerically build Q-ball solutions and investigate their behaviours when
changing the relatives values of $g_1$ and $g_2$. For $g_1<g_2$, two Q-balls
with the same frequency exist, while $\omega=0$ can be reached when $g_1>g_2$.
We then extend the former solutions by gauging the U(1)-symmetry of $\phi$ and
show that charged Q-balls exist.
