江苏省应用数学(中国矿业大学)中心系列学术报告
报告题目: Zero-wavenumber-gain MI, formation of rogue waves and time-localized solitons inmulticomponent systems with coherent coupling
报告时间:2023年11月22日10:00-11:00
报告人:刘磊重庆大学博士
腾讯会议:会议 ID:958-636-6498
摘要:It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. We also report the emergence of a previously unexplored species of solitary waves,time-localized dark modes, which coincides with the condition for the occurrence of the zero-wavenumber-gain MI.
报告人简介: 刘磊,重庆大学数学与统计学院讲师,于2013年和2019年在南开大学和北京邮电大学分别获得理学学士和博士学位。主要研究兴趣包括孤子理论,非线性波的数值和解析计算,以及它们在非线性光纤等方面的应用。目前已获得国家自然科学青年基金、理论物理专款博士后项目和中国博士后面上资助项目资助。以第一或通讯作者在Physical Review Letters,Physical Review A/E、Proceedings A,Chaos等国际期刊发表论文10多篇,被他引用100多次。