Applying asymptotic methods to a previously derived system of ordinary differential equations, we present an analytical description of the slow (average) dynamics of self-similar breathing pulses propagating in fiber links with dispersion management. We derive asymptotic averaged quantities (adiabatic invariants) that characterize the stable pulse propagation. In a particular, but practically important, case when the dispersion compensation period is much larger than the amplification distance we have found analytically the fixed points corresponding to the dispersion-managed solitons.
|Original language||English (US)|
|Journal||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|State||Published - 1998|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics