Hamiltonian averaging and integrability in nonlinear systems with periodically varying dispersion
Medvedev S.B., Turitsyn S.K.
PACS: 02.90.+p, 05.45.Yv, 42.65.Tg
Applying Hamiltonian averaging and quasi-identical-like transformation we demonstrate that the averaged dynamics of high-frequency nonlinear wave, in systems with .periodically varying dispersion can be described in a particular limit by the integrable nonlinear Schrodinger equation.