Dynamics of Peregrine combs and Peregrine walls in an inhomogeneous Hirota and Maxwell-Bloch system

DOI10.1016/j.cnsns.2016.11.009OpenAlexW2552794857MaRDI QIDQ2005239

Zi-Qi Wang, Wen-Rong Sun, Min Xu, Lei Wang, Min Li, Yu-Ying Shi

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.11.009

zbMATH Keywords

breather multiple birthsinhomogeneous Hirota-Maxwell-Bloch systemPeregrine combsPeregrine walls

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

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Cites Work

• Unnamed Item
• Soliton interactions in a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system
• Waves that appear from nowhere and disappear without a trace
• Rogue-wave interaction of the generalized variable-coefficient Hirota-Maxwell-Bloch system in fiber optics
• Modulation instability: The beginning
• Inverse Scattering Method for the Nonlinear Evolution Equations under Nonvanishing Conditions
• SOLITON INTERACTIONS FOR A HIROTA–MAXWELL–BLOCH SYSTEM IN THE INHOMOGENEOUS ERBIUM-DOPED FIBER
• Water waves, nonlinear Schrödinger equations and their solutions
• Propagation of solitary waves in inhomogeneous erbium-doped fibers with third-order dispersion, self-steepening and gain/loss
• INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION
• A general approach to linear and non-linear dispersive waves using a Lagrangian
• Moving breathers and breather-to-soliton conversions for the Hirota equation
• Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability
• Oceanic Rogue Waves
• Exact envelope-soliton solutions of a nonlinear wave equation