KdV limit of the Euler-Poisson system

Yan Guo, Xueke Pu

Consider the scaling ${\epsilon }^{1/2}(x-Vt)\to x,{\epsilon }^{3/2}t\to t$ in the Euler-Poisson system for ion-acoustic waves \eqref{equ1}. We establish that as $\varepsilon\to…