报告题目：The complex sine (sinh)-Gordon equation and related topics

报告人：冯宝峰 教授（Department of Mathematics, University of Texas-Pan, American）

主持人：陈勇

报告时间：2016年12月16日 15:00-16:00（更新）

报告地点：理科大楼B1002          

报告摘要：

In this talk, we are concerned with the complex sine-Gordon (csG) and sinh-Gordon (cshG) equations which belongs to the first negative flow of the AKNS hierarchy. We firstly derive the complex sine (sinh)-Gordon equation from the motion of space curves, as well as from the fundamental forms of surfaces with non-constant Gaussian curvature. Then multi-bright and multi-dark soliton solutions will be constructed from the combination of KP-hierarchy reduction and Hirota’s bilinear method. The integrable semi-discrete and fully-discrete csG and cshG equations will be constructed. We will also discuss nonlocal complex sine (sinh)-Gordon equation and related topics to be explored.

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。