Some remarks on splitting of domain wall in extra dimension

We study a simple model for thick branes without gravity. To construct a domain wall structure we utilize a potential of the form V ( φ ) = aφ 2 − bφ 4 + cφ 6 and for simplicity we assume the scalar field to be real. We also assume the coefficient a to be temperature dependent. We find that the phenomena of domain wall splitting occur below and above a critical temperature T c . We examine the behavior of domain wall in these regions.