报告人：谭伟讲师（吉首大学）
时 间：2019年11月28日下午15：00
地点：华南数学应用与交叉研究中心学术报告厅114
题目：Emergence and superposition behavior of rogue waves for the (2+1)- dimensional KdV system
摘要：
In this talk, on the basis of symbolic computation and Hirota's diret method, we investigate evolution and degeneration behavior of breather solution with different forms for (2+1)-dimensional Korteweg-de Vries (KdV) system. Some new rogue waves are obtained in the process of studying the degeneration of breather solution. Besides, the spatiotemporal evolution of the superposition phenomenon between rogue wave and N-solitons is studied. An existence theorem about the rogue-N-solitons is given and proved. Finally, some novel nonlinear dynamical behaviors, including the degeneration of breathers, the emergence of rogue waves, local oscillations of double breathers, the fission and fusion of rogue-N-solitons, the evolution of superposition behavior and so on, are analyzed and simulated.
个人简介：
谭伟，吉首大学讲师，中山大学在职博士生，导师殷朝阳教授。主要从事孤子与可积系统，符号计算，偏微分方程的适定性等方面的研究工作。在国内外重要期刊公开发表学术论文10余篇，其中以第一作者SCI收录11篇。