报告题目：A semi-discrete modified KdV equation: Backlund transformation and numerical simulation

　　报告人：张英楠博士（南京师范大学）

　　报告时间：2016年10月21日（星期五）上午10：30

　　地点：所综合楼三楼会议室

　　摘要：In this talk, we will show an integrable semi-discretization of the mKdV equation. We discretize the 'time' variable of the mKdV equation and get an integrable differential-difference system. Under a standard limitation, the differential-difference system converges to the continuous Boussinesq equation such that the discrete system can be used to design numerical algorithms. Via Hirota’s bilinear method we will give some explicit solutions including solitons and breather solutions. From the semi-discrete system, we design a numerical scheme to mKdV equation and We will show several numerical examples in this talk.