Controllable soliton interaction in three mode nonlinear optical fiber

In this paper, the analytical bright soliton solutions are obtained for the 3-coupled nonlinear Schrödinger equations with variable coefficients in a three-mode fiber. Lax pair is constructed for 3-coupled NLS system by employing AKNS procedure. With the help of symbolic computation, the multi-soliton solutions are obtained by means of Darboux transformation technique. Based on two-soliton solutions, we demonstrate the various interaction scenarios of solitons in three mode fiber through the choice of control parameters. Furthermore, we investigate the dynamical behaviors of solitons for both constant and variable coefficients. Our result reveals that interactions of optical solitons have some specific applications such as the construction of logic gates, optical computing, soliton switching, and soliton amplification in wavelength division multiplexing (WDM) system.