Statistical approach of modulational instability beyond Gaussian approximation
Abstract
A statistical description of the modulation instability is discussed for the NLS equation. The kinetic equation for the two-point correlation function is obtained by using a decoupling procedure beyond the usual Gaussian approximation for the averaged values of products of four and six field variables. The induced evolution generated by a plane wave perturbation are calculated. They comprise both an evolution of the background and of the second harmonics.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- January 2013
- DOI:
- 10.1088/1742-6596/411/1/012029
- Bibcode:
- 2013JPhCS.411a2029V