Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions

The work investigates the integrable general three-component nonlinear Schrödinger equation, which can be reduced to several integrable equations. A 4 × 4 matrix spectral problem is performed for the equation, from which a Riemann–Hilbert problem is strictly formulated. Moreover, the multi-soliton solutions to this equation are obtained through a particular Riemann–Hilbert formulation.