報告題目🫚：Finite gap integration of the derivative nonlinear Schrodinger equation: A Riemann-Hilbert method
報告時間：2020年11月12日周四10💇🏽：00—12🐌：30
報告地點：騰訊會議ID：292 557 319
報告人：趙鵬 副教授（上海海事大學）
報告摘要：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.