Bright N-solitons for the intermediate nonlinear Schrödinger equation

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A previously unknown bright N-soliton solution for an intermediate nonlinear Schrödinger equation of focusing type is presented. This equation is constructed as a reduction of an integrable system related to a Sato equation of a 2-component KP hierarchy for certain differential--difference dispersion relations. Bright soliton solutions are obtained in the form of double Wronskian determinants.

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