Purpose

It is extremely difficult to establish a variational principle for plasma. Kalaawy obtained a variational principle by using the semi-inverse method in 2016, and Li and He suggested a modification in 2017. This paper aims to search for a generalized variational formulation with a free parameter.

Design/methodology/approach

The semi-inverse method is used by suitable construction of a trial functional with some free parameters.

Findings

A modification of Li-He’s variational principle with a free parameter is obtained.

Originality/value

This paper suggests a new approach to construction of a trial-functional with some free parameters.

中文翻译：

---

修正的Li-He等离子体变分原理

目的

建立等离子体的变分原理极其困难。Kalaawy在2016年使用半逆方法获得了变分原理，Li和He在2017年提出了一种修改形式。本文旨在寻找带有自由参数的广义变分公式。

设计/方法/方法

通过适当构造带有一些自由参数的试验函数来使用半反方法。

发现

得到了Li-He变分原理的自由参数修正。

创意/价值

本文提出了一种构建带有一些自由参数的试验功能的新方法。