数学学术报告：Superposition formulae and integrable discretization of KdV-type soliton equations
来源： 时间：2019-08-05
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
时间：2019年8月6日（周二）15:00—16:00
地点：新波谱楼12楼1217报告厅
Abstract
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.
讲座预告
数学学术报告：Superposition formulae and integrable discretization of KdV-type soliton equations
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
时 间：2019年8月6日（周二）15:00—16:00
地 点：新波谱楼12楼1217报告厅
Abstract
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.
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