  A wave front propagating through a medium is described using the Ising--Bloch
method The reaction-diffusion behaviour of an autocatalysis model of incoming
waves from energetic material in a nitroguanidine lens and its interactions
with Dirichlet boundaries system are examined. Wave splitting is found to occur
for some relative diffusivities through introducing defects into the lens. The
system is introduced using a nonlinear method with a Boltzmann--Gibbs
distribution of diffusion parameters and forced into a right-hand-side
divergence for final analysis. Considering the nonlinearity, the model is
expanded by introducing the decomposition kinetics into the set of equations
developed.
