*主持人：唐晓艳 教授
*时间：2020年12月10日9:00-10:00
*地点：腾讯会议ID：241 296 831

*讲座内容简介：
Utilizing the Darboux transformation technique, three kinds of localized waves for the coupled LPD equations and AB system are investigated. For the coupled LPD equations, the higher-order interactional solutions and rogue wave (RW) pairs are discussed. Through considering the double-root situation of the spectral characteristic equation for the matrix in the Lax pair, we give the higher-order interactional solutions among higher-order RWs, multi-bright (dark) solitons and multibreather. The triple-root situation and the higher-order RW pairs were considered. It is greatly different from the traditional higher-order RWs. The fist-order RW pairs can split into two traditional first-order RWs, and four or six traditional fundamental RWs can emerge from the second-order case. In the multi-component AB system, the interactional solutions are discussed in three different types: (1) the degenerate case that higher-order RWs; (2) higher-order RWs coexisting with multi bright and dark solitons; (3) higher-order RWs coexisting with multi breathers.

*主讲人简介：
徐涛，博士，师从陈勇教授，目前在郑州轻工工业大学，数学与信息科学学院工作，讲师。博士期间研究方向是非线性系统符号计算，在读期间参与导师多项课题并发表SCI学术论文数篇。近期的主要研究方向和研究兴趣是利用达布变换方法和KP-族约化方法，研究多分量非线性系统怪波和其他非线性波的相互作用，转化以及新型怪波结构的构造。