16 citations · 17 across the 5 of their papers we have counts for
5 papers
The Riemann-Hilbert approach for the integrable fractional Fokas--Lenells equation
Ling An, Liming Ling
In this paper, we propose a new integrable fractional Fokas--Lenells equation by using the completeness of the squared eigenfunctions, dispersion relation, and inverse scattering t…
Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation
Ling An, Liming Ling, Xiaoen Zhang
In this paper, we explore the integrable fractional derivative nonlinear Schrödinger (fDNLS) equation by using the inverse scattering transform. Firstly, we start from the recursio…
Nondegenerate solitons in the integrable fractional coupled Hirota equation
Ling An, Liming Ling, Xiaoen Zhang
In this paper, based on the nonlinear fractional equations proposed by Ablowitz, Been, and Carr in the sense of Riesz fractional derivative, we explore the fractional coupled Hirot…
Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations
Ling An, Chuanzhong Li, Lixiang Zhang
In this paper, based on the Hirota and Maxwell-Bloch (H-MB) system and its application in the theory of the femtosecond pulse propagation through an erbium doped fiber, we define t…
Virasoro symmetries of Multi-Component Gelfand-Dickey systems
Ling An, Chuanzhong Li
In this paper, we mainly study the additional symmetry and functions of a multi-component Gelfand-Dickey hierarchy which includes many classical integrable systems, such as the…