The Mechanism of Kuznetsov-Ma Breather

Abstract

We discuss how to understand the dynamical process of Kuznetsov-Ma breather, based on some basic physical mechanisms. It is shown that dynamical process of Kuznetsov-Ma breather involves at least two distinctive mechanisms: modulational instability, and the interference effects between a bright soliton and a plane wave background. Our analysis indicates that modulational instability plays dominant roles in mechanism of Kuznetsov-Ma breather admitting weak perturbations, and the interference effect plays dominant role for the Kuznetsov-Ma breather admitting strong perturbations. For intermediate cases, the two mechanisms are both involved greatly. These characters provide a possible way to understand the evolution of strong perturbations on a plane wave background.

5 pages, 4 figures

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Cited by in corpus (6)

• Dynamical symmetry and breathers in a two-dimensional Bose gas
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Growth rate of modulation instability driven by superregular breathers
• Heteroclinic-structure transition of the pure quartic modulation instability
• Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
• Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry