Periodic energy switching of bright solitons in mixed coupled nonlinear Schr{\"o}dinger equations with linear self and cross coupling terms

TL;DR

This paper investigates bright soliton solutions in coupled nonlinear Schrödinger equations with linear coupling, revealing controllable periodic energy switching and shape-changing collisions, even with minimal coupling strengths.

Contribution

It introduces a transformation to analyze non-integrable coupled equations and uncovers controllable periodic energy switching due to shape-changing collisions.

Findings

Existence of periodic energy switching in soliton collisions.

Control of energy transfer via coupling parameters.

Large intensity switching with small coupling strengths.

Abstract

The bright soliton solutions of the mixed 2-coupled nonlinear Schr{\"o}dinger (CNLS) equations with linear self and cross coupling terms have been obtained by identifying a transformation that transforms the corresponding equation to the integrable mixed 2-CNLS equations. The study on the collision dynamics of bright solitons shows that there exists periodic energy switching, due to the coupling terms. This periodic energy switching can be controlled by the new type of shape changing collisions of bright solitons arising in mixed 2-CNLS system, characterized by intensity redistribution, amplitude dependent phase shift and relative separation distance. We also point out that this system exhibits large periodic intensity switching even with very small linear self coupling strengths.