title: Solitary waves and Bohmian mechanics.
abstract: We study a Schrödinger-like equation with a nonlinear term. This nonlinearity has the effect of allowing the existence of highly concentrated stable solitary waves of a topological nature. Such solitary waves tend to move according to Bohmian mechanics. Therefore our model can be considered a nonsingular realization of de Broglie pilot wave theory.
authors.affiliation: Scula Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy. abbo@tonelli.sns.it
authors.forename: Alberto
authors.initials: A
authors.lastname: Abbondandolo
authors.forename: Vieri
authors.initials: V
authors.lastname: Benci