报告题目：An integrable semi-discretization of the Boussinesq equation

　　报告人：张英楠老师（南京师范大学）

　　报告时间：2015年12月17日（星期四）上午10：00-12：00

　　地点：所综合楼三楼会议室

　　报告摘要： 

　　In this talk, we present an integrable semi-discretization of the Boussinesq equation. Different from other discrete analogues, we discretize the 'time' variable and get an integrable differential difference system. The main idea is based on the compatibility between an integrable system and its Bäcklund transformation. Under standard limitation, the differential-difference system converges to the original Boussinesq equation such that the discrete system can be used to design numerical algorithms. Using Hirota’s bilinear method, we find a Bäcklund transformation and a Lax pair of the differential-difference system. We investigate the solitary-wave interaction of the system and design numerical simulation of solitons. The numerical results are coincide with our analysis.