Ildar Gabitov and Ian Marshall 1998 Nonlinearity 11 845 doi:10.1088/0951-7715/11/4/006
Removing the time dependence in a rapidly oscillating Hamiltonian
Ildar Gabitov
and Ian Marshall
Recommended by S Fauve
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.
PACS number 4279Sz
- PACS
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45.20.Jj Lagrangian and Hamiltonian mechanics
42.79.Sz Optical communication systems, multiplexers, and demultiplexers
- MSC
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78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)
- Subjects
- Dates
-
Issue 4 (July 1998)
Received 10 July 1997
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Removing the time dependence in a rapidly oscillating Hamiltonian
Ildar Gabitov and Ian Marshall 1998 Nonlinearity 11 845
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