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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
演讲者
翁为方
时间
2023年10月25日 14:00 至 16:00
地点
A3-2a-302
线上
Zoom 638 227 8222
(BIMSA)
摘要
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.