*主持人:陈勇 教授
*时间:2020年12月9日8:00-9:30
*地点:腾讯会议ID:675 439 882
*讲座内容简介:
General rogue waves in (1+1)-dimensional three-wave resonant interaction systems are derived by the bilinear method. These solutions are divided into three families, which correspond to a simple root, two simple roots and a double root of a certain quartic equation arising from the dimension reduction respectively. Many of these rogue wave solutions are new solutions which have not been reported before. Technically, our bilinear derivation of rogue waves for the double-root case is achieved by a generalization to the previous dimension reduction procedure in the bilinear method, and this generalized procedure allows us to treat roots of arbitrary multiplicities. Dynamics of the derived rogue waves is also examined, and new rogue-wave patterns are presented.
*主讲人简介:
杨波,博士,师从陈勇教授,Vermont大学博士后研究员。博士期间研究方向是非线性偏微分方程的符号计算。在读期间参与导师多项课题并发表SCI论文数篇。目前在Vermont大学担任博士后研究员,合作导师Jianke Yang 教授。从事有关非线性水波的科研工作。近期的主要研究方向和研究兴趣是利用双线性方法,构造非线性可积方程的rogue-wave解。