Journal
PHYSICAL REVIEW E
Volume 97, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.97.022218
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Funding
- National Natural Science Foundation of China [11775176]
- Shaanxi Association for Science and Technology [20160216]
- Guangdong Natural Science Foundation [2017A030313008]
- Key Innovative Research Team of Quantum Many-Body Theory and Quantum Control in Shaanxi Province [2017KCT-12]
- Natural Science of Shaanxi Province [2017ZDJC-32]
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We discuss how to understand the dynamical process of Kuznetsov-Ma breather, based on some basic physical mechanisms. It is shown that the 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 the mechanism of Kuznetsov-Ma breather admitting weak perturbations, and the interference effect plays a dominant role for the Kuznetsov-Ma breather admitting strong perturbations. For intermediate cases, the two mechanisms are both greatly involved. These characters provide a possible way to understand the evolution of strong perturbations on a plane-wave background.
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