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Mathematics & Statistics

Differential Equations
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Monday, September 23, 2019

Title
Speaker
Time
Place

General \(N\)-solitons to nonlocal nonlinear Schrödinger equations by Riemann-Hilbert problems
Ahmed Ahmed
2:00pm-3:00pm
PED 110

Abstract

General \(N\)-solitons to three nonlocal nonlinear Schrödinger equations are derived from Riemann-Hilbert problems of the AKNS hierarchy. The three nonlocal equations correspond to reverse-space, reverse-time and reverse-space-time symmetries, respectively. Their \(N\)-solitons are associated with the same Riemann-Hilbert problems, but their symmetry relations of scattering data are different.

Wednesday, September 18, 2019

Title
Speaker
Time
Place

Inverse scattering and \(N\)-soliton solution for the nonlocal nonlinear Schrödinger equation
Fudong Wang
2:00pm-3:00pm
CMC 108

Abstract

We will discuss the inverse scattering for the nonlocal nonlinear Schrödinger equation from a special reduction of the AKNS/ZS system. Analyticity of the Jost eigenfunctions, as well as the scattering data, will be discussed in detail. The inverse scattering will finally be transferred to an oscillatory Riemann-Hilbert problem. Assuming that the initial data is reflectionless, a general \(N\)-soliton solution will be presented.

Monday, September 16, 2019

Title
Speaker
Time
Place

Soliton solutions to the nonlocal nonlinear Schrödinger equation, II
Alle Adjiri
1:30pm-2:30pm
PED 105

Wednesday, September 11, 2019

Title
Speaker
Time
Place

Soliton solutions to the nonlocal nonlinear Schrödinger equation
Alle Adjiri
1:30pm-2:30pm
CMC 108

Abstract

In this seminar, I am going to discuss soliton solutions to the nonlocal nonlinear Schrödinger equation, based on the inverse scattering transform.

Monday, September 9, 2019

Title
Speaker


Time
Place

Inverse scattering transform for the nonlocal NLS equation, Part II
Yeuhui Huang
North China Electric Power University
China
1:30pm–2:30pm
CMC 209

Abstract

TBA

Wednesday, September 4, 2019

Title
Speaker


Time
Place

Inverse scattering transform for the nonlocal NLS equation
Yeuhui Huang
North China Electric Power University
China
1:30pm–2:30pm
CMC 209

Abstract

In this seminar, we will discuss about the inverse scattering transform for the nonlocal nonlinear Schrödinger equation, and present its applications to soliton solutions.