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1998 Nonlinearity 11 845-857 doi: 10.1088/0951-7715/11/4/006
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L D Landau Institute for Theoretical Physics, 2 Kosygin str., 117940 Moscow, Russia Centre des mathématiques et leurs applications, Ecole normale supérieure de Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, FranceRecommended by S Fauve
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.
PACS number 4279Sz
PACS numbers: -08, 69-00
Mathematics Subject Classification: 78
Print publication: Issue 4 (July 1998) |
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