Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations

Abstract

We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schrodinger 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.

v2: corrected typo on equation 1

References in corpus (1)

• Stability analysis for $n$-component Bose-Einstein condensate

Cited by in corpus (2)

• Impurity crystal in a Bose-Einstein condensate
• Induced interaction and crystallization of self-localized impurity fields in a Bose-Einstein condensate