N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP

Abstract In this paper, the main work is to study the N -soliton solutions for the nonlocal Fokas–Lenells equation. Then, the matrix Riemann-Hilbert problem is constructed for this nonlocal system by analyzing the spectral problem of the Lax pair. Based on the scattering relationship, the N -soliton solutions for this system are given explicitly.