Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems

摘要

We derive average propagation model for a nonlinear wave dynamics in media with periodically varying parameters considering a general case with different periods of the nonlinearity and dispersion oscillations. Applying quasi-identical canonical transformation we find the conditions when the averaged Hamiltonian dynamics is close to an integrable model. We apply general theory to the practical problem of optical signal transmission in fiber lines with short-scale dispersion management. [References: 33]