  In this paper we consider the slightly $L^2$-supercritical gKdV equations
$\partial_t u+(u_{xx}+u|u|^{p-1})_x=0$, with the nonlinearity
$5<p<5+\varepsilon$ and $0<\varepsilon\ll 1$ . In the previous work of the
author we know that there exists an stable self-similar blow-up dynamics for
slightly $L^2$-supercritical gKdV equations. Such solution can be viewed as
solutions with single blow-up point. In this paper we will prove the existence
of solutions with multiple blow-up points, and give a description of the
formation of the singularity near the blow-up time.
