  We prove the existence of multi-soliton and kink-multi-soliton solutions of
the Euler-Korteweg system in dimension one. Such solutions behaves
asymptotically in time like several traveling waves far away from each other. A
kink is a traveling wave with different limits at $\pm$$\infty$. The main
assumption is the linear stability of the solitons, and we prove that this
assumption is satisfied at least in the transonic limit. The proof relies on a
classical approach based on energy estimates and a compactness argument.
