Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole

Maria Agrotis, N. M. Ercolani, S. A. Glasgow, J. V. Moloney

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

We obtain the Lax pair, hierarchy of commuting flows and Bäcklund transformations for a reduced Maxwell-Bloch (RMB) system. This system is of particular interest for the description of unipolar, nonoscillating electromagnetic solitons (also called "electromagnetic bubbles").

Original languageEnglish (US)
Pages (from-to)134-162
Number of pages29
JournalPhysica D: Nonlinear Phenomena
Volume138
Issue number1-2
DOIs
StatePublished - Apr 1 2000

Keywords

  • Bäcklund transformations
  • Hierarchy of commuting flows
  • Lax pair
  • Maxwell-Bloch equations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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