17 citations · 18 across the 5 of their papers we have counts for
5 papers
Modulation approximation for the non-isentropic Euler-Poisson system
Huimin Liu, Xueke Pu
As a formal approximation, the nonlinear Schrödinger (NLS) equation can be derived to describe the evolution of the envelopes of small oscillating wave packets-like solutions to th…
The bidirectional NLS approximation for the one-dimensional Euler-Poisson system
Huimin Liu, Yurui Lu, Xueke Pu
The nonlinear Schrödinger (NLS) equation is known as a universal equation describing the evolution of the envelopes of slowly modulated spatially and temporarily oscillating wave p…
Justification of the NLS approximation for ion Euler-Poisson equation
Huimin Liu, Xueke Pu
The nonlinear Schrödinger (NLS) equation can be derived as a formal approximation equation describing the envelopes of slowly modulated spatially and temporarily oscillating wave p…
The QKP limit of the quantum Euler-Poisson equation
Huimin Liu, Xueke Pu
In this paper, we consider the derivation of the Kadomtsev-Petviashvili (KP) equation for cold ion-acoustic wave in the long wavelength limit of the two-dimensional quantum Euler-P…
Long wavelength limit for the quantum Euler-Poisson equation
Huimin Liu, Xueke Pu
In this paper, we consider the long wavelength limit for the quantum Euler-Poisson equation. Under the Gardner-Morikawa transform, we derive the quantum Korteweg-de Vries (KdV) equ…