Journal article
Averaging of Dispersion-Managed Solitons: Existence and Stability
Abstract
We consider existence and stability of dispersion-managed solitons in the two approximations of the periodic nonlinear Schrdinger (NLS) equation: (i) a dynamical system for a Gaussian pulse and (ii) an average integral NLS equation. We apply normal form transformations for finite-dimensional and infinite-dimensional Hamiltonian systems with periodic coefficients. First-order corrections to the leading-order averaged Hamiltonian are derived …
Authors
Pelinovsky DE; Zharnitsky V
Journal
SIAM Journal on Applied Mathematics, Vol. 63, No. 3, pp. 745–776
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Publication Date
January 2003
DOI
10.1137/s0036139902400477
ISSN
0036-1399