Pairwise three soliton interactions, soliton logic gates in coupled nonlinear Schrödinger equation with variable coefficients

Abstract

Under investigation is the three soliton interactions of a variable coefficient integrable coupled NLS equation. Using linear fractional transformation we show that the three soliton interactions follow the Yang–Baxter relation. Using energy sharing between DM soliton components and state transformations we consider a few examples that illustrate one input and one output logic gates such as ‘NOT’, ‘ONE’ and ‘COPY’ gates, which reoccur at a preset periodic intervals, and can be stopped at a preset time. We hope that the analysis of three soliton interactions would be useful for the development of all optical logic gates and all optical switching devices.