Impact of higher-order effects on dissipative soliton in metamaterials

TL;DR

This paper investigates how higher-order effects like dispersion and nonlinearity influence the behavior of dissipative solitons in metamaterials, combining analytical and numerical methods to understand their stability.

Contribution

It introduces a perturbative approach using Lagrangian variational method to analyze the impact of multiple higher-order effects on dissipative soliton dynamics in metamaterials.

Findings

Stable dissipative soliton dynamics due to higher-order effects

Analytical results confirmed by numerical simulations

Interplay of effects enhances soliton stability

Abstract

We study the influence of higher-order effects such as third order dispersion (TOD), fourth order dispersion (FOD), quintic nonlinearity (QN), self steepening (SS) and second order nonlinear dispersion (SOND) on the dynamics of dissipative soliton (DS) in metamaterials. Considering each higher-order effect as a perturbation to the system and following Lagrangian variational method, we demonstrate stable dynamics of DS as a result of the interplay between different higher-order effects. We also perform numerical analysis to confirm the analytical results.