Hamiltonian averaging and integrability in nonlinear systems with periodically varying dispersion
- 1 April 1999
- journal article
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 69 (7) , 499-504
- https://doi.org/10.1134/1.568068
Abstract
By applying Hamiltonian averaging and a quasi-identity-like transformation it is demonstrated that the averaged dynamics of high-frequency nonlinear waves in systems with periodically varying dispersion can be described in a particular limit by the integrable nonlinear Schrödinger equation.Keywords
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