Multihumped nondegenerate fundamental bright solitons in $N$-coupled nonlinear Schr\"{o}dinger system

TL;DR

This paper reports the discovery of nondegenerate multi-hump bright soliton solutions in multi-component nonlinear Schr"odinger systems, with explicit examples and stability analysis, advancing optical communication technologies.

Contribution

It introduces a new class of nondegenerate fundamental bright solitons in N-coupled nonlinear Schr"odinger equations using Hirota's method, including multi-hump profiles and stability results.

Findings

Existence of multi-hump nondegenerate solitons in N-CNLS systems.

Explicit solutions for 3- and 4-CNLS systems demonstrating multi-hump profiles.

Stability of triple-humped solitons under white noise perturbations.

Abstract

In this letter we report the existence of nondegenerate fundamental bright soliton solution for coupled multi-component nonlinear Schr\"{o}dinger equations of Manakov type. To derive this class of nondegenerate vector soliton solutions, we adopt the Hirota bilinear method with appopriate general class of seed solutions. Very interestingly the obtained nondegenerate fundamental soliton solution of the $N$-coupled nonlinear Schr\"{o}dinger (CNLS) system admits multi-hump natured intensity profiles. We explicitly demonstrate this specific property by considering the nondegenerate soliton solutions for $3$ and $4$-CNLS systems. We also point out the existence of a special class of partially nondegenerate soliton solutions by imposing appropriate restrictions on the wavenumbers in the already obtained completely nondegenerate soliton solution. Such class of soliton solutions can also exhibit multi-hump profile structures. Finally, we present the stability analysis of nondegenerate fundamental soliton of the $3$-CNLS system as an example. The numerical results confirm the stability of triple-humped profile nature against perturbations of 5\% and 10\% white noise. The multi-hump nature of nondegenerate fundamental soliton solution will be usefull in multi-level optical communication applications with enhanced flow of data in multi-mode fibers.