On the algebraic structure of the Kadomtsev-Petviashvili hierarchies with constraints
数学专题报告
报告题目(Title)：On the algebraic structure of the Kadomtsev-Petviashvili hierarchies with constraints
报告人(Speaker)：吴志伟 副教授（中山大学数学学院（珠海））
地点(Place)：后主楼1220
时间(Time)：2026年7月4日（周六）16:00-17:00
邀请人(Inviter)：祁娟娟、王灯山
报告摘要
In this talk, we will discuss an algebraic approach on the Kadomtsev-Petviashvili hierarchies with constraints. From loop algebra splitting, we give the corresponding matrix-value Lax operators. The Darboux transformations for incuded equations are constructed. Examples such as the Kupershmidt-Kaup equation and the Sawada-Kotera equation will be discussed.
主讲人简介
吴志伟，中山大学数学学院（珠海）副教授。主要从事可积系统及其相关领域的研究，如可积序列的约化理论、可积曲线流、达布-贝克隆变换等。论文发表于J. Differential Geom., J. Geom. Anal., Comm. Anal. Geom., Stud. Appl. Math., J. Math. Phys.等期刊。
