Journal of Prime Research in Mathematics

# 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

### 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.