Lie symmetry analysis of the Grad-Shafranov equation

Details Lie symmetry analysis of the Grad-Shafranov equation Lie symmetry analysis of the Grad-Shafranov equation

2011-05-08

arxiv.org/abs/1105.1497v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Lie symmetry analysis of the Grad-Shafranov equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lie symmetry analysis of the Grad-Shafranov equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie symmetry analysis of the Grad-Shafranov equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145020