Dark-bright soliton interactions in coupled nonautonomous nonlinear Schrodinger equation with complex potentials

We investigate dark-bright soliton dynamics in a coupled nonlinear Schrodinger equation in presence of complex potentials and the associated spectral problem. Using asymptotic analysis and graphical analysis, we study the interactions of soliton complexes under different potentials. We present the results of elastic and inelastic interaction between solitons in presence of the potentials. The external potential brings about notable changes in the dynamics of soliton by changing it's velocity, frequency and the wave number. The changes are however, same on the all the solitons and hence the external potential do not alters the conditions of the elastic interaction. We also present interesting features of complex three soliton interactions under the complex potentials. The shape change may occur even when there is no relative velocity between solitons. We hope that the present analysis would be useful for a better understanding of soliton interactions in an inhomogeneous nonlinear fiber and the dynamics of condensates in atomic physics. (c) 2020 Elsevier Ltd. All rights reserved.

Automated summary

The study investigates dark-bright soliton dynamics in a coupled nonlinear Schrodinger equation with complex potentials, examining interactions of soliton complexes under different potentials. It presents results of elastic and inelastic interactions between solitons under these potentials. The external potential causes notable changes in soliton dynamics by altering velocity, frequency, and wave number, with interesting features observed in complex three soliton interactions.