Mathematical Physics

1. JianLi, TiechengXia, “N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP”, 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., Applied Mathematics Letters, 113:3 (2021), 106850
2. Jian Li, Tiecheng Xia, “A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization”, In this paper, the main work is to study the N-soliton solutions for the Kundu-nonlinear Schrödinger equation. Then, the matrix Riemann-Hilbert problem is constructed for this integrable equation by analyzing the spectral problem of the Lax pair. Based on the scattering relationship, the N-soliton solutions for this system are given explicitly. Finally, the multi-component Kundu-nonlinear Schrödinger system is generalized, and reduce its N-soliton solutions., Journal of Mathematical Analysis and Applications, 500:2 (2021), 125109

• Shanghai Institute of Technology
• Department of Mathematics, Shanghai University
• Shanghai University