Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing
arXiv:1712.06334 · doi:10.1016/j.physleta.2018.04.034
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.
References in corpus (10)
- Instabilities, breathers and rogue waves in optics
- State Transition Induced by Higher-order Effects and Background Frequency
- A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation
- Stable Soliton Excitations in Modulational Instability Regime with the Fourth-order Effects
- Superposed nonlinear waves in coherently coupled Bose-Einstein condensates
- Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
- Novel energy sharing collisions of multicomponent solitons
- Peak-height formula for higher-order breathers of the nonlinear Schrödinger equation on non-uniform backgrounds
- Several Localized Waves Induced by Linear Interference between a Nonlinear Plane Wave and Bright Solitons
- Prolific interaction structures and shape-changing collisions in an erbium-doped fiber system