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

The work investigates the integrable general three-component nonlinear Schrodinger equation, which can be reduced to several integrable equations. A 4 x 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. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This work investigates the integrable general three-component nonlinear Schrodinger equation, and formulates a 4 x 4 matrix spectral problem and a Riemann-Hilbert problem to obtain the multi-soliton solutions for this equation.