title: Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations.
abstract: We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schrödinger equations. We derive the conditions under which all of the fields experiences this finite-time collapse. Finally, for two-dimensional systems, we derive constraints on the number of particles associated with each field that are necessary to prevent collapse.
authors.affiliation: Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, Paris, France.
authors.forename: D C
authors.initials: DC
authors.lastname: Roberts
authors.forename: A C
authors.initials: AC
authors.lastname: Newell