Volume 132, Number 4, November 2020
|Number of page(s)||3|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||30 December 2020|
A variational principle for the (3 + 1)-dimensional extended quantum Zakharov-Kuznetsov equation in plasma physics
School of Physics and Electronic Information Engineering, Henan Polytechnic University - Jiaozuo, 454003, China
Received: 25 August 2020
Accepted: 28 October 2020
The Zakharov-Kuznetsov equation plays a key role in the plasma physics, and its solution has always been a hot topic, however its variational principle has not been studied. So this paper develops a variational formulation for the (3+1)-dimensional extended quantum Zakharov-Kuznetsov equation by the semi-inverse method, which shows an energy conservation law for the dust-ion-acoustic solitary waves in a magnetized two-ion-temperature dusty plasma. The whole derivation process is presented in detail. The obtained results in this paper are expected to shed a bright light on the study of theoretical basis for the magnetized plasma.
PACS: 41.20.Jb – Electromagnetic wave propagation; radiowave propagation / 42.25.Bs – Wave propagation, transmission and absorption / 52.25.Xz – Magnetized plasmas
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