Removing the time dependence in a rapidly oscillating Hamiltonian

Ildar R Gabitov, Ian Marshall

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Hamiltonian systems with rapidly oscillating explicit dependence on time are considered. The wavelength of this oscillation is treated as a small parameter and it is shown how to remove the time dependence up to some order in the small parameter by means of a canonical transformation presented in the form of an asymptotic series. The result has applications for the study of pulse propagation for high bit-rate transmission in optical fibres.

Original languageEnglish (US)
Pages (from-to)845-857
Number of pages13
JournalNonlinearity
Volume11
Issue number4
DOIs
StatePublished - Jul 1998
Externally publishedYes

Fingerprint

Hamiltonians
Time Dependence
Small Parameter
time dependence
Optical fibers
asymptotic series
Wavelength
Asymptotic series
Canonical Transformation
Optical Fiber
Hamiltonian Systems
optical fibers
Oscillation
Propagation
oscillations
propagation
pulses
wavelengths
Form

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Removing the time dependence in a rapidly oscillating Hamiltonian. / Gabitov, Ildar R; Marshall, Ian.

In: Nonlinearity, Vol. 11, No. 4, 07.1998, p. 845-857.

Research output: Contribution to journalArticle

Gabitov, Ildar R ; Marshall, Ian. / Removing the time dependence in a rapidly oscillating Hamiltonian. In: Nonlinearity. 1998 ; Vol. 11, No. 4. pp. 845-857.
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