Coupling fields and underlying space curvature: An augmented Lagrangian approach

P. G. Kevrekidis; F. L. Williams; A. R. Bishop; I. G. Kevrekidis; B. A. Malomed

Coupling fields and underlying space curvature: An augmented Lagrangian approach

P. G. Kevrekidis^*, F. L. Williams, A. R. Bishop, I. G. Kevrekidis, B. A. Malomed

^*Corresponding author for this work

School of Electrical Engineering

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

1 Scopus citations

Abstract

A field theory in the spirit of the Rahman-Parrinello molecular dynamics technique was proposed. The resulting equations coupled the spatiotemporal evolution of the field to that of the underlying curvature of the space which carries the field. The results showed that the temporal evolution of the metric increases the velocity of the field solitons.

Original language	English
Article number	047602
Pages (from-to)	476021-476024
Number of pages	4
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	67
Issue number	4 2
State	Published - Apr 2003

Cite this

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title = "Coupling fields and underlying space curvature: An augmented Lagrangian approach",

abstract = "A field theory in the spirit of the Rahman-Parrinello molecular dynamics technique was proposed. The resulting equations coupled the spatiotemporal evolution of the field to that of the underlying curvature of the space which carries the field. The results showed that the temporal evolution of the metric increases the velocity of the field solitons.",

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AU - Malomed, B. A.

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Coupling fields and underlying space curvature: An augmented Lagrangian approach

Abstract

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