Riemann-Hilbert approach and N-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space

Abstract In this paper, the Riemann-Hilbert approach is used to solve a negative matrix AKNS system with a Hermitian symmetric space. Through spectral analysis, a Riemann-Hilbert problem is established on the real axis, then N -soliton solutions of the negative matrix AKNS system are obtained by solving the non-regular Riemann-Hilbert problem under the reflectionless condition. Furthermore, some figures of these explicit solutions are plotted, which are proved to be of solitary features.