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

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.