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

14 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

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10.1103/PhysRevE.74.047602

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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.",

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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.

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UR - https://www.scopus.com/pages/publications/33750082082#tab=citedBy

U2 - 10.1103/PhysRevE.74.047602

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M3 - Article

AN - SCOPUS:33750082082

SN - 1539-3755

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 4

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ER -

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

Abstract

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