Zero-wavenumber-gain MI, formation of rogue waves and time-localized solitons in multicomponent systems with coherent coupling

发布者:王丹丹发布时间:2023-11-21浏览次数:10

 

江苏省应用数学(williamhill威廉希尔官网)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:2023112210:00-11:00

报告人:刘磊重庆大学博士

腾讯会议:会议 ID958-636-6498

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 wavestime-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 LettersPhysical Review A/EProceedings AChaos等国际期刊发表论文10多篇,被他引用100多次。