報告題目：Soliton molecules and novel smooth positons for the complex modified KdV equation
報告時間：2020年11月5日周四15：00—16：00
報告地點：騰訊會議ID：763 163 533
報告人：李彪 教授
報告摘要：Based on Darboux transformation, a molecule consisting of two identical soliton waves is firstly obtained by velocity resonance for modified KdV equation. And we also get molecules containing a plurality of solitons. Further, we study the elastic interaction between soliton molecules and typical smooth higher-order positon via semi-degenerate Darboux transformation. Last but not least, we find a new type of smooth positons called rational positons. The dynamic properties of higher-order rational positon are discussed in detail and related propositions are given in this paper. The nature of rational positons is fundamentally different from that of typical smooth positons and breather positons. The method used in this paper to get interaction solutions and rational positons can be applied to other integrable equations as well.
報告人簡介： 李彪，寧波大學數學與統計必一教授，浙江省151人才工程”（第三層次）、寧波市“4321” 人才工程（第二層次）。主要從事數學物理，Lie群及其在微分方程中的應用，數學機械化等領域的研究工作。已在SCI系統發表學術論文100余篇，發表論文已被SCI他引1000多次。主持完成國家自然科學基金3項，中國博士後基金1項，浙江省自然科學基金2項。參與完成國家自然科學基金和省、市自然科學基金多項。現參加國家自然科學基金重點項目一項，主持國家自然科學基金面上1項。