Continuous and discrete integrable systems: case study for two typical soliton equations

报告题目：Continuous and discrete integrable systems: case study for two typical soliton equations

报告人：冯宝峰  教授

主持人：陈    勇  教授

时间：2014-12-11 周四 15:00

地点：理科大楼B1102

报告摘要：

    In this talk, we attempt to review the links between the soliton equations and their integrable discrete analogues. By taking complex short pulse equation and the reduced Ostrovsky equation as examples, we firstly construct integrable discrete analogues of these two equations via Backlund transform and Hirota's bilinear method. Meanwhile, we provide their multi-soliton solutions in terms of pfaffians and prove them by pfaffian techniques. Then, we will discuss the relations between the continuous soliton equations and their discrete analogues.

报告人简介：

        冯宝峰教授，男，理学博士。1989年于清华大学获学士学位，1997年取得日本名古屋大学获硕士学位，2000年于日本京都大学获博士学位。美国德克萨斯大学数学系教授，在可积系统和离散的可积系统，偏微分方程科学计算和数值方法（PDE），非线性波，格点的形成和摄动方法等众多领域发表多篇学术论文。