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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…
Rogue waves and their patterns for the coupled Fokas-Lenells equations
Liming Ling, Huajie Su
In this work, we explore the rogue wave patterns in the coupled Fokas-Lenells equation by using the Darboux transformation. We demonstrate that when one of the internal parameters…
Elliptic-rogue waves and modulational instability in nonlinear soliton equations
Liming Ling, Xuan Sun
We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in theta functions. Unlike solutions generated on the plane wave background, these solutions dep…
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…