报告主题：Davey-Stewartson I 方程中的怪波曲线

主 讲 人：杨建科（Jianke Yang）教授（美国佛蒙特大学）

主 持 人：吴成发

时 间：2026年4月21日（二）15：00

地 点：致知楼207

嘉宾简介：

Jianke Yang is the Williams Professor of Mathematics and a University Distinguished Professor at the University of Vermont, as well as a Fellow of the Optical Society of America. He graduated from Tsinghua University in 1989 and received his PhD. from the Massachusetts Institute of Technology in 1994. For many years, he has been engaged in research on nonlinear wave theory and its applications in nonlinear optics, and has made a series of internationally influential contributions at the intersection of physical mechanisms and mathematical theory. He has published more than one hundred papers in leading journals, including Reviews of Modern Physics, Physical Review Letters, and SIAM Journal on Applied Mathematics, and has also authored several monographs. He served as Editor-in-Chief of Studies in Applied Mathematics from 2014 to 2019, is currently an editor of the Springer Tracts in Modern Physics series, and has also served on the editorial boards of journals such as Physical Review E and Physical Review A.

报告摘要：

We report new rogue wave patterns whose wave crests form closed or open curves in the spatial plane, which we call rogue curves, in the Davey-Stewartson I equation. These rogue

curves come in various striking shapes, such as rings, double rings, and many others. They emerge from a uniform background (possibly with a few lumps on it), reach high amplitude in such striking shapes, and then disappear into the same background again. We reveal that these rogue curves would arise when an internal parameter in bilinear expressions of the rogue waves is real and large. Analytically, we show that these rogue curves are predicted by root curves of certain types of double-real-variable polynomials. We compare analytical

predictions of rogue curves to true solutions and demonstrate good agreement between them.