报告题目:Completely resonant collision of lumps and line solitons in the Kadomtsev-Petviashvili I equation

报告人：贺劲松 教授（深圳大学）

报告时间：2023年06月01日（周四）9:00-10:00

报告地点：广A309

摘要：A particular type of  resonant collisions between lumps and line solitons called as completely resonant collisions are investigated. The usual lump is a stable weakly localized two-dimensional (2D) soliton, which keeps its shape and velocity in the course of the evolution from $trightarrow-infty$ to  $trightarrow+infty$. However, the lumps in the completely resonant collisions  with line solitons would become localized in time and in two-dimensional space as 'instantons', which first detach from the line soliton and  then rapidly fuses into the other line soliton after appearing on the constant background for a very transient period of time.    Since these doubly localized lumps possess the key features of two-dimensional rogue waves in physical settings, thus they are call as 'rogue lumps' and are valuable in modelling physical problems.

报告人简介：贺劲松教授，深圳大学博士生导师，主要可积非线性偏微分方程（组）的数学理论及其物理应用，多次应邀到 University of Cambridge ，University of Oxford, University of Sheffield等大学访问和报告，负责国家自然科学基金6项， 入选教育部2008年度新世纪优秀人才支持计划（2009-2011）, 在国内外SCI学术刊物上发表论文总计180篇, 多次入选“中国高被引学者”。

邀请人：沈守枫 马立媛