Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie symmetry analysis of the Grad-Shafranov equation   The theory of plasma physics offers a number of nontrivial examples of
partial differential equations, which can be successfully treated with symmetry
methods. We propose the Grad-Shafranov equation which may illustrate the
reciprocal advantage of this interaction between plasma physics and symmetry
techniques. A symmetry classification of the Grad-Shafranov equation with two
arbitrary functions $F(u)$ and $G(u)$ of the unknown variable $u=u(x,t)$ is
given. The optimal system of one-dimensional subalgebras is performed. This
latter provides a process for building new solutions for the equation.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an