Hamiltonian averaging in soliton-bearing systems with a periodically varying dispersion

Sergei K. Turitsyn, Alejandro B. Aceves, Christopher K.R.T. Jones, Vadim Zharnitsky, Vladimir K. Mezentsev

Research output: Contribution to journalArticlepeer-review

Abstract

Optical pulse dynamics in dispersion-managed fiber lines is studied using a combination of a Lagrangian approach and Hamiltonian averaging. By making self-similar transform in the Lagrangian and assuming in the leading order a bell-shaped pulse dynamics, we reduce the original system to a nonautonomous Hamiltonian system with two variables. Subsequent Hamiltonian averaging gives a function of two variables whose extrema correspond to periodic pulses. To describe a fine structure of the pulse tails, we further develop Hamiltonian averaging using the complete set of Gauss-Hermite functions and also applying averaging in the spectral domain.

Original languageEnglish (US)
Pages (from-to)3843-3846
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number4
DOIs
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Hamiltonian averaging in soliton-bearing systems with a periodically varying dispersion'. Together they form a unique fingerprint.

Cite this