  A previously unknown bright N-soliton solution for an intermediate nonlinear
Schr\"{o}dinger 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.

Exactly Solvable and Integrable Systems