Abstract
This paper numerically addresses optical dromions and domain walls that are monitored by Kundu - Mukherjee - Naskar equation. The Kundu - Mukherjee - Naskar equation is considered because this model describes the propagation of soliton dynamics in optical fiber communication system. The scheme employed in this work is Laplace - Adomian decomposition type. The accuracy of the scheme is O(10(-8)) and the physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of both optical dromions and domain walls.