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

TL;DR

This paper proves that N coupled classical fields governed by nonlinear Schrödinger equations can undergo finite-time collapse, and establishes conditions and constraints to predict or prevent this phenomenon in multi-field systems.

Contribution

It provides the first rigorous proof of finite-time collapse for N coupled nonlinear Schrödinger equations and derives conditions for collapse and particle number constraints in 2D.

Findings

Finite-time collapse occurs under specific conditions.

Conditions for collapse depend on system parameters.

Constraints on particle numbers prevent collapse in 2D.

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.