Localized nonlinear waves in a two-mode nonlinear fiber

Abstract

We find that diverse nonlinear waves, such as soliton, Akhmediev breather, and rogue waves (RWs), can emerge and interplay with each other in a two-mode coupled system. It provides a good platform to study interaction between different kinds of nonlinear waves. In particular, we obtain dark RWs analytically for the first time in the coupled system, and find that two RWs can appear in the temporal-spatial distribution. Possible ways to observe these nonlinear waves are discussed.

8 pages, 8 figures

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• Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
• Data-driven vector localized waves and parameters discovery for Manakov system using deep learning approach
• High-order Rogue Wave solutions for the Coupled Nonlinear Schrödinger Equations-II
• Non-degenerate Bound State Solitons in Multi-component Bose-Einstein Condensates
• Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Growth rate of modulation instability driven by superregular breathers
• Different types of nonlinear localized and periodic waves in an erbium-doped fiber system
• Non-degenerate multi-rogue waves and easy ways of their excitation
• Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
• AC Oscillation of a Spin Soliton Driven by a Constant Force
• Tunneling Dynamics Between Atomic Bright Solitons
• Novel Localized Waves in a Two-mode Nonlinear Fiber with High-order Effects
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
• Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models
• Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions
• Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems
• Several Localized Waves Induced by Linear Interference between a Nonlinear Plane Wave and Bright Solitons
• Measuring the rogue wave pattern triggered from Gaussian perturbations by deep learning
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation
• Modulation instability and controllable rogue waves with multiple compression points for periodically modulated coupled Hirota equations