Hamiltonian averaging and integrability in nonlinear systems with periodically varying dispersion

Authors
Medvedev, SB Turitsyn, SK
Citation
Sb. Medvedev et Sk. Turitsyn, Hamiltonian averaging and integrability in nonlinear systems with periodically varying dispersion, JETP LETTER, 69(7), 1999, pp. 499-504
Citations number
33
Categorie Soggetti
Physics
Journal title
JETP LETTERS
ISSN journal
00213640 → ACNP
Volume
69
Issue
7
Year of publication
1999
Pages
499 - 504
Database
ISI
SICI code
0021-3640(19990410)69:7<499:HAAIIN>2.0.ZU;2-H
Abstract
By applying Hamiltonian averaging and a quasi-identity-like transformation it is demonstrated that the averaged dynamics of high-frequency nonlinear w aves in systems with periodically varying dispersion can be described in a particular limit by the integrable nonlinear Schrodinger equation. (C) 1999 American Institute of Physics. [S0021-3640(99)00107-3].