Analytical solutions to brajinskii’s equations in one dimension by using laplace transform technique

S.N.Hosseinimotlagh
S.N.Hosseinimotlagh ,Iran University Of Science and Technology,Tehran- Iran.
M.Roostaie
University Of Science and Technology,Tehran- Iran.
H.Kazemifard
Iran University Of Science and Technology,Tehran- Iran.

\(^{1}\)Corresponding Author: hosseinimotlagh@iust.ac.ir

Copyright © 2007 S.N.Hosseinimotlagh, M.Roostaie, H.Kazemifard. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2007.

Abstract

Brajinskii’s equations are the fundamental relations governing the behavior of the plasma produced during a fusion reaction, especially ICF plasma. These equations contains six partial differential coupled together. In this paper we have tried to give analytical solutions to these equations using a one dimensional method. Laplace transform technique is
the main tool to do that with an arbitrary boundary and initial conditions for some special cases.

Keywords:

laplace,equation,Brajinskii ,one dimensional,transform.