Abstract
Presented is a set of integrable multi-component hybrid nonlinear Schrodinger (MCHNS) equations. Each multi-component equation is a superposition of the nonlinear Schrodinger (NS) equation and the derivative nonlinear Schrodinger (DNS) equation. For the MCHNS equations, the inverse scattering formulation is given. The gauge transformation relating 2-component hybrid nonlinear Schrodinger equation with the Manakov equation is explicitly shown. This also confirms that the former is integrable since the latter is integrable.
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