致密磁等离子体（3+1）维量子欧拉-泊松系统的长波极限

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-05-21 DOI:10.1111/sapm.70064

Rong Rong, Xueke Pu

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引用次数: 0

摘要

本文给出了离子声波的（3+1）维量子Zakharov-Kuznetsov （QZK）方程的推导。在（3+1）维量子Euler-Poisson系统的长波限内，利用奇异摄动方法证明了通过Gardner-Morikawa变换可以系统地推导出QZK方程。导出的方程在O(ε−3/2)$ O(\varepsilon ^{-3/2})$阶的时间区间内有效。

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Long-Wavelength Limit of a Quantum Euler–Poisson System in the (3+1) Dimensions for a Dense Magnetoplasma

This paper presents the derivation of a (3+1)-dimensional quantum Zakharov–Kuznetsov (QZK) equation for ion acoustic waves. Using a singular perturbation method within the long-wavelength limit of the (3+1)-dimensional quantum Euler–Poisson system, we demonstrate that the QZK equation can be systematically derived through the Gardner–Morikawa transformation. The derived equation is valid over a time interval of order $O (ε^{- 3 / 2})$ .

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.