An integrable reduction of inhomogeneously broadened optical equations

S. A. Glasgow, M. A. Agrotis, N. M. Ercolani

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We introduce a set of reduced Maxwell-Bloch equations that incorporates the effects of a permanent dipole and inhomogeneous broadening. We demonstrate the integrability of this reduction by providing a Lax pair, which is found using the pseudo-potential technique. An appropriate Bäcklund transformation is employed to produce a family of solitonic solutions. Published by Elsevier B.V.

Original languageEnglish (US)
Pages (from-to)82-99
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume212
Issue number1-2
DOIs
StatePublished - Dec 1 2005

Keywords

  • Bäcklund transformation
  • Inhomogeneously broadened reduced Maxwell-Bloch equations
  • Lax pair

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'An integrable reduction of inhomogeneously broadened optical equations'. Together they form a unique fingerprint.

Cite this