Statistical approach of the modulational instability of the discrete self-trapping equation
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
The discrete self-trapping equation (DST) represents an useful model for several properties of one-dimensional nonlinear molecular crystals. The modulational instability of DST equation is discussed from a statistical point of view, considering the oscillator amplitude as a random variable. A kinetic equation for the two-point correlation function is written down, and its linear stability is studied. Both a Gaussian and a Lorentzian form for the initial unperturbed wave spectrum are discussed. Comparison with the continuum limit (NLS equation) is done.
Keywords
Cite
@article{arxiv.nlin/0212043,
title = {Statistical approach of the modulational instability of the discrete self-trapping equation},
author = {Anca Visinescu and D. Grecu},
journal= {arXiv preprint arXiv:nlin/0212043},
year = {2009}
}
Comments
10 pages