Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

TL;DR

This paper investigates the behavior of breathers and solitons on different backgrounds within a generalized coupled Hirota system influenced by four wave mixing, revealing transformation mechanisms and energy conversion processes.

Contribution

It introduces new insights into soliton transformations and energy dynamics in coupled Hirota systems with four wave mixing effects, expanding understanding of nonlinear localized waves.

Findings

Transformation between different soliton types on plane wave background

Breather-like waves formed via energy conversion between components

Energy conversion controlled by background amplitude and period

Abstract

We study breathers and solitons on different backgrounds in optical fiber system, which is governed by generalized coupled Hirota equations with four wave mixing effect. On plane wave background, a transformation between different types of solitons is discovered. Then, on periodic wave background, we find breather-like nonlinear localized waves of which formation mechanism are related to the energy conversion between two components. The energy conversion results from four wave mixing. Furthermore, we prove that this energy conversion is controlled by amplitude and period of backgrounds. Finally, solitons on periodic wave background are also exhibited. These results would enrich our knowledge of nonlinear localized waves' excitation in coupled system with four wave mixing effect.