Abstract
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) |
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Pages (from-to) | R48-R51 |
Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 58 |
Issue number | 1 |
DOIs | |
State | Published - 1998 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics