Interactions of pulses produced by two- mode resonant nonlinear Schrodinger equations

Abstract

Single resonant nonlinear Schrodinger equation RNLSE has wide applications in sciences. It describes the transient state between self-focusing and self-defocusing polarization. This motivated researchers to study and investigate the physical characteristics behind. Here, we are concerned with analyzing the solutions of two-mode RNLSE which may reveal complex phenomena. Novel shapes of pulses propagation in optical fibers are shown Further, the colliding dynamics of waves are inspected. The different characteristics of pulses are defined and interpreted. These features are studied via finding the exact solutions of the two modes RNLSE. These solutions are obtained. by using the unified method. It is found that the criteria of the polarization of the two modes may be, mutual, or of the same polarization. Which depends on the crucial values of the coefficients of the quantum potential. Also, it is shown that the propagation of pulses exhibits multiple-geometric structures.Which are complex chirped, M-W-shaped pulses, rhombus (diamond) and tun able conoidal pulses. These are novel features of pulses propagation.The spectral characteristics show a variety of some important results. Here, it is inspected that the collision is elastic.