报告专家：凌黎明教授（华南理工大学）

报告题目：Rogue waves, Akhmediev breathers and modulational instability for the vector nonlinear Schrodinger equation

报告地点：腾讯会议 ID: 468605088, 密码: 123456

报告时间：6月2日上午8:30-11:00

报告简介：

Modulational instability has been used to explain the formation of breathers and rogue waves qualitatively. In this talk, we show modulational instability can be used to explain the structure of them in a quantitative way. In the first place, we develop a method to de- rive general forms for Akhmediev breathers, rogue waves and their multiple or high order ones in a N -component nonlinear Schrödinger equations. The existence condition for each pattern is clarified clearly with a compact algebraic equation. Moreover, we show that the existence condition of ABs and RWs is consistent with the dispersion relation of the linear stability analysis on the background solution. The results further deepen our understand- ing on the quantitative relations between modulational instability and homoclinic orbits solutions.

专家个人简介：

凌黎明，华南理工大学数学学院教授，博士生导师，长期从事非线性可积系统的研究，在可积系统“怪波”理论的发展中作出了一系列工作，率先同合作者给出高阶怪波解的Darboux变换方法以及无穷阶怪波的分析理论。 报告人在该方向上已经发表 40余篇SCI- 论文，其中 Duke- Mathematical Journal， Physical Review E ，Physica D, Studies in Applied Mathematics, Nonlinearity 等杂志，合作出版怪波专著一部。 已发表文章在Google学术搜索统计引用 1900 余次，H 指数 16，其中单篇最高引用 500 余次，4篇入选ESI高被引论文。主持国家自然科学基金项目2项。