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Topics in Integrability
Dynamics of fractional N-soliton solutions of integrable fractional higher-order nonlinear Schrödinger equations
Dynamics of fractional N-soliton solutions of integrable fractional higher-order nonlinear Schrödinger equations
Organizers
Speaker
Weifang Weng
Time
Wednesday, October 25, 2023 2:00 PM - 4:00 PM
Venue
A3-2a-302
Online
Zoom 638 227 8222
(BIMSA)
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.