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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Article number047602
Pages (from-to)476021-476024
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4 2
StatePublished - Apr 2003

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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