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 (3)

• A two atomic species superfluid
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Stability analysis for $n$-component Bose-Einstein condensate

Cited by in corpus (5)

• On the blow-up threshold for weakly coupled nonlinear Schroedinger equations
• Impurity crystal in a Bose-Einstein condensate
• Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations
• Induced interaction and crystallization of self-localized impurity fields in a Bose-Einstein condensate
• Gain of regularity for a coupled system of generalized nonlinear Schrödinger equations