上海海事大学赵鹏副教授学术报告

发布者:陈冰洁发布时间:2020-11-09浏览次数:714

报告题目:Finite gap integration of the derivative nonlinear Schrodinger equation: A Riemann-Hilbert method

报告时间:20201112日周四1000—1230

报告地点:腾讯会议ID292 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.


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