Soliton-like behavior of a canonical quantum system obeying an exclusion-inclusion principle

A justified modification of the real part of the complex non-linearity of a Schrödinger equation, recently proposed G. Kaniadakis, Phys. Rev. A 55 (1997) 941], allows us to obtain a new canonical quantum system obeying an exclusion–inclusion principle. The soliton solutions of this new effective Schrödinger equation are obtained in an implicit form.