Multi-Soliton Solutions of a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations

Abstract

Multi-soliton solutions of a coupled system of the nonlinear Schrödinger equation and the Maxwell-Bloch equations are given. Solutions of the system are explicitly constructed as a quotient of Casorati-type determinants. By using explicit form of the soliton solutions, the influence of the MB-term on the speed of soliton is evaluated.