报告题目：On the whitham theory on KP equation

报告人：李传忠，山东科技大学教授，博士生导师，青年泰山学者，发表SCI论文100余篇，主持国家自然科学基金面上项目2项。

报告时间：2023年11月1日  20：00-21:00

腾讯会议：215-346-199

摘要：As we know, the stability of multi-solitons of 2+1 dimensional nonlinear partial differential equations is quite difficult. In this talk, we will report our recent development on the whitham theory on KP equation. This theory help us in studying the evolution of the solutions of KP equation when the initial value is truncated line solitons. The whitham theory of KP equation we developed is quite related to dynamics of chord diagrams in combinatorics. Particularly we will focus on the (3142)-KP-soliton solutions which is related to the famous Mach reflection. The theory can be also used to study the 2+1 dimensional gap problem and dam breaking problem. This is a joint work with Professor Yuji