报告题目：Finite gap integration of the derivative nonlinear Schrodinger equation: A Riemann-Hilbert method
报告时间：2020年11月12日周四10：00—12：30
报告地点：腾讯会议ID：292 557 319
报告人：赵鹏 副教授（上海海事大学）
报告摘要：In this talk we discuss the application of the Riemann-Hilbert method to the finite gap integration of the Gerdjikov-Ivanov type derivative nonlinear Schrodinger equation. We show that the Baker-Akhiezer function of the derivative nonlinear Schrodinger equation can be described in terms of solvable matrix Riemann-Hilbert problems on C with \sigma_2- and/or \sigma_3- symmetry conditions based on the technique developed in the study of long-time asymptotics. Our main tools include matrix Baker-Akhiezer function, asymptotic analysis, algebraic curve and Riemann theta function, matrix Riemann-Hilbert problem and associated deformation procedures.