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

D. C. Roberts; A. C. Newell

doi:10.1103/PhysRevE.74.047602

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

D. C. Roberts, A. C. Newell

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English (US)
Article number	047602
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	74
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.74.047602
State	Published - 2006

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.74.047602

Fingerprint Dive into the research topics of 'Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations'. Together they form a unique fingerprint.

Cite this

@article{b46df3822a124ea28c7ea6818245c2ad,

title = "Finite-time collapse of N classical fields described by coupled nonlinear Schr{\"o}dinger equations",

abstract = "We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schr{\"o}dinger 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.",

author = "Roberts, {D. C.} and Newell, {A. C.}",

year = "2006",

doi = "10.1103/PhysRevE.74.047602",

language = "English (US)",

volume = "74",

journal = "Physical review. E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations

AU - Roberts, D. C.

AU - Newell, A. C.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33750082082&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750082082&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.74.047602

DO - 10.1103/PhysRevE.74.047602

M3 - Article

AN - SCOPUS:33750082082

VL - 74

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 4

M1 - 047602

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this