Combined solitary-wave solution for coupled higher-order nonlinear Schrödinger equations

Abstract

Coupled nonlinear Schrödinger equations model several interesting physical phenomena. We used a trigonometric function transform method based on a homogeneous balance to solve the coupled higher-order nonlinear Schrödinger equations. We obtained four pairs of exact solitary-wave solutions including a dark and a bright-soliton pair, a bright- and a dark-soliton pair, a bright- and a bright-soliton pair, and the last pair, a combined bright–dark-soliton pair.