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

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D. C. Roberts¹ and A. C. Newell²
¹Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, Paris, France
²Department of Mathematics, University of Arizona, Tucson, Arizona

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Received 25 May 2006; published 13 October 2006

Weprove the finite-time collapse of a system of N classicalfields, which are described by N coupled nonlinear Schrödinger equations.We derive the conditions under which all of the fieldsexperiences this finite-time collapse. Finally, for two-dimensional systems, we deriveconstraints on the number of particles associated with each fieldthat are necessary to prevent collapse.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.047602
DOI:	10.1103/PhysRevE.74.047602
PACS:	05.45.Yv; 03.50.-z 05.45.Yv Solitons 03.50.-z Classical field theories YEAR: 2006
KEYWORDS:	Schrodinger equation, nonlinear equations

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Erratum

Erratum: Finite time collapse of N classical fields described by coupled nonlinear Schrödinger equations [Phys. Rev. E 74, 047602 (2006)]
D. C. Roberts and A. C. Newell
Phys. Rev. E 75, 019901 (E) (2007)