The KP limit of a reduced quantum Euler–Poisson equation
The KP limit of a reduced quantum Euler–Poisson equation
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DOI：
10.1111/sapm.12632
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发表时间：
2023-08
影响因子：
2.7
通讯作者：
Huimin Liu;Xueke Pu
中科院分区：
文献类型：
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作者：
Huimin Liu;Xueke Pu
在本文中，我们考虑了在garner - morikawa变换中，在不同尺度下的二维降维欧拉-泊松系统的长波极限下冷离子-声波的Kadomtsev-Petviashvili （KP）方程的推导。结果表明，KP方程的类型取决于缩放后的量子参数H>0$H>0$。KP‐I为H bbb22 $H bbb22 $， KP‐II为0
In this paper, we consider the derivation of the Kadomtsev–Petviashvili (KP) equation for cold ion‐acoustic wave in the long wavelength limit of a two‐dimensional reduced quantum Euler–Poisson system under different scalings for varying directions in the Gardner–Morikawa transform. It is shown that the types of the KP equation depend on the scaled quantum parameter H>0$H>0$ . The KP‐I is derived for H>2$H>2$ , KP‐II for 0