Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

In this paper, we study the integrability and exact bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects arising from nonlinear fiber medium. Firstly, the Lax integrability of this equation is investigated by prolongation technique and an integrable generalized coupled higher-order nonlinear Schrödinger equation is proposed. Then the general N bright-bright soliton solutions of this integrable equation are obtained by Riemann-Hilbert formulation and the collision dynamics between two solitons is analyzed. Finally, an integrable generalized n-coupled higher-order nonlinear Schrödinger equation together with its linear spectral problem are given.