Dynamics of fractional N-soliton solutions of integrable fractional higher-order nonlinear Schrödinger equations

Time：2023-10-25 Wed 14:00-16:00

Venue：A3-2a-302 ZOOM: 638 227 8222（PW: BIMSA）

Organizer：Xinxing Tang, Li Wang

Speaker：Weifang Weng Tsinghua University

Abstract

In this talk, we explore the anomalous dispersive relations, inverse scattering transform, and fractional N-soliton solutions of the integrable fractional higher-order nonlinear Schrödinger equations. The inverse scattering problem can be solved exactly by means of the matrix Riemann-Hilbert problem with simple poles. As a consequence, an explicit formula is found for the fractional N-soliton solutions in the reflectionless case.

DATEOctober 25, 2023

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