报告题目: From discrete integrable system to continuous integrable system

　　报 告 人：冯宝峰教授（Baofeng Feng，University of Texas Rio Gande Valley）

　　报告时间：6月19日（周三）10：00-11：00

　　报告地点：中国科学院武汉物理与数学研究所 新波谱楼12楼1217报告厅

　　摘要：In this talk, I will give a review on recent development of integrable system, especially the discrete inegrable system. It is known that the tau-functions play a crucial role in both the continuous and discrete integrable sytems. We will start with a type of Gam determinant solution and show it satisfies the Hirota-Miwa equation, or the discrete Kadomtsev-Petviashvili (KP) equation. By introducing Schur polynomial, and Miwa transformation, we will derive the KP hierarchy, whose reductions give rise to the Korteweg-de Vries (KdV) equation and Boussinesq equation. Then we will show by simple transformations, the discrete KP equation can be transformed into discrete modified KP equation and the discrete KP-Toda lattice equation, which in turn lead to the modified KP and KP-Toda hierarchy, whose reductions give the modified KdV equation and Sine-Gordon equation, respectively.

　　欢迎参加！