Nonlocal Dbar Problem and two (2+1)-dimensional Integrable equations
数学专题报告
报告题目(Title)：Nonlocal Dbar Problem and two (2+1)-dimensional Integrable equations
报告人(Speaker)：朱俊逸 教授（郑州大学数学与统计学院）
地点(Place)：腾讯会议：453 850 0147
时间(Time)：2022年9月23日(周五)，15:30-16:20
邀请人(Inviter)：王灯山
报告摘要
The nonlocal Dbar problem is extended to consider an extended Kadomtsev-Petviashvili (KP) equation and a differential-difference KP equation. For the extended KP equation, we introduce three covariant derivatives to establish the relation between the KP potential and the Dbar data, and find the symmetry conditions to construct the line solitons and the rational solutions. For the differential-difference KP equation, two covariant derivatives and one translation operator are introduced, and the line solitons and the rational solutions are given. In addition, a new solution to the initial problem for the differential-difference KP equation is derived.
主讲人简介
朱俊逸，郑州大学数学与统计学院教授，博士生导师。河南省高校青年骨干教师，美国德克萨斯大学访问学者。主要从事非线性可积系统的精确解、反谱变换的应用研究。主持2项国家自然科学基金项目和1项河南省自然科学基金项目。《J. Nonlinear Math. Phys.》编委。
