Logic gates on stationary dissipative solitons

Stable dissipative solitons are perfect carries of optical information due to remarkable stability of their waveforms that allows the signal transmission with extremely dense soliton packing without loosing the encoded information. Apart of unaffected passing of solitons through a communication network, controllable transformations of soliton waveforms are needed to perform all-optical information processing. In this paper we employ the basic model of dissipative optical solitons in the form of the complex Ginzburg-Landau equation with a potential term to study the interactions between two stationary dissipative solitons being under the control influences and use those interactions to implement various logic gates. Particularly, we demonstrate NOT, AND, NAND, OR, NOR, XOR, and XNOR gates, where the plain (fundamental soliton) and composite pulses are used to represent the low and high logic levels.