Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects

TL;DR

This paper explores how higher-order effects in an erbium-doped fiber system influence the transformation of breathers and rogue waves into various soliton types, revealing new dynamics in nonlinear wave propagation.

Contribution

It introduces the impact of higher-order effects on wave transformations in an erbium-doped fiber, including the calculation of eigenvalue loci for these conversions.

Findings

Breather and rogue wave solutions can convert into multiple soliton types.

Eigenvalue loci determine the transition conditions.

Higher-order effects significantly influence wave dynamics.

Abstract

Under investigation in this paper is the higherorder nonlinear Schrodinger and Maxwell-Bloch (HNLSMB) system which describes the wave propagation in an erbium-doped nonlinear fiber with higher-order effects including the fourth-order dispersion and quintic nonKerr nonlinearity. The breather and rogue wave (RW) solutions are shown that they can be converted into various soliton solutions including the multipeak soliton, periodic wave, antidark soliton, M-shaped soliton, and W-shaped soliton. In addition, under different values of higher-order effect, the locus of the eigenvalues on the complex plane which converts breathers or RWs into solitons is calculated.