  We consider the generalized Benjamin-Ono equation:
$$\partial_tu+\partial_x(-|D|u+|u|^{p-1}u)=0,$$ with $L^2$-supercritical power
$p>3$ or $L^2$-subcritical power $2<p<3$. We will construct strongly
interacting multi-solitary wave of the form: $\sum_{i=1}^nQ(\cdot-t-x_i(t))$,
where $n\geq 2$, and the parameters $x_i(t)$ satisfying
$x_{i}(t)-x_{i+1}(t)\sim \alpha_k \sqrt{t}$ as $t\rightarrow +\infty$, for some
universal positive constants $\alpha_k$. We will also prove the uniqueness of
such solutions in the case of $n=2$ and $p>3$.
