Soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov Type

Abstract

The soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright N-solitons solution by solving the integrable uncoupled NLS of Manakov type. We also find that there is an elastic collision of the bright N-solitons.

11 pages