H. Kalisch and D. Pelinovsky
Dispersion-managed solitons in the limit of large energy
Proceedings of the Steklov Institute of Mathematics Supplement
1, 98-107 (2003)
Abstract:
We study a dynamical system for Gaussian
dispersion-managed pulses in the limit
of large pulse energy and map strength. We show
numerically and asymptotically that the pulse
energy E grows with the map strength S as
E = D+ S0.5,
where D+ is the
effective dispersion coefficient of the focusing fiber.
We also inspect leading-order asymptotic solutions
that describe variations of the pulse parameters
along the optical fiber.
Keywords:
DISPERSION MANAGEMENT, OPTICAL SOLITONS, EXISTENCE AND
STABILITY OF PULSES, GAUSSIAN APPROXIMATION,
ASYMPTOTIC MULTI-SCALE EXPANSION METHODS