等离子体平衡方程的李群分析
Lie Group analysis of Plasma equilibrium equations
摘要：
本文对描述经典等离子体平衡态的不同情形的偏微分方程系统进行了李群分析，并在几种重要情形下找到了这些方程所允许的变换组。并以等离子体平衡系统为例，给出了如何应用Lie方法寻找偏微分方程系统之间的Bäcklund变换的方法。
英文摘要：
In this paper we perform Lie group analysis of systems of partial differential equations which describe different cases of classical plasma equilibria, and find groups of transformations admitted by those equations in several important cases. We also give a recipe how to apply Lie formalism to look for Bäcklund transformations between systems of partial differential equations, using plasma equilibrium system as an example.
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