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math-ph2012★ 2 cited
Dispersive Limit of the Euler-Poisson System in Higher Dimensions
Xueke Pu
In this paper, we consider the dispersive limit of the Euler-Poisson system for ion-acoustic waves. We establish that under the Gardner-Morikawa type transformations, the solutions…
math.AP2012★ 55 cited
KdV limit of the Euler-Poisson system
Yan Guo, Xueke Pu
Consider the scaling in the Euler-Poisson system for ion-acoustic waves \eqref{equ1}. We establish that as $\varepsilon\to…