报告题目：Superposition formulae and integrable discretization of KdV-type soliton equations
报 告 人：张英楠 副教授 南京师范大学
In this talk, I will talk about the procedure to discretize soliton equations via the superposition formulaes. As well-known, Backlund transformation is used to construct integrable difference equations. However, Backlund transformation only connects two solutions of a soliton equation and the result equations are not suitable to construct the numerical simulation algrithms. The superposition formulae is a relation among 4 solutions and can give a way to build local integrable difference equations.