报告题目：Asymptotics for the focusing integrable discrete nonlinear Schrödinger equation

报告人：Hideshi YAMANE

报告时间：2018年3月13日 15:00-18:00

报告地点：郑州大学数学与统计学院金融实验室

报告摘要：The focusing integrable discrete nonlinear Schrödinger equation can be solved by inverse scattering. In the reflectionless case, it admits a (multi-)soliton solution under generic assumptions. Phase shifts are determined by the eigenvalues. We consider what happens if the reflection coefficient does not vanish identically. The soliton resolution conjecture is valid. Namely, the solution is asymptotically a sum of 1-solitons. If |n/t| is less than 2, the phase shifts depend on the eigenvalues and the reflection coefficient. If |n/t| is not less than 2, they are independent of the reflection coefficient.

报告人简介：Hideshi YAMANE is the professor of Kwansei Gakuin University. In 1995, he received the PhD in the University of Tokyo.