Multi-soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov Type

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The general multi-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 and dark multi-soliton solution using inverse scattering method of ZS scheme. Elastic and inelastic collision of N-solitons solution of the equation are also discussed.
15 pages, LaTeX2e, PACS 42.65Sf

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