Improved effective linearization of nonlinear Schr\"odinger waves by increasing nonlinearity
Pattern Formation and Solitons
2021-07-05 v2 Exactly Solvable and Integrable Systems
Abstract
From among the waves whose dynamics are governed by the nonlinear Schr\"odinger (NLS) equation, we find a robust, spatiotemporally disordered family, in which waves initialized with increasing amplitudes, on average, over long time scales, effectively evolve as ever more weakly coupled collections of plane waves. In particular, the relative amount of energy contained in their coupling decays to zero with increasing wave amplitude.
Cite
@article{arxiv.1909.10331,
title = {Improved effective linearization of nonlinear Schr\"odinger waves by increasing nonlinearity},
author = {Katelyn Plaisier Leisman and Douglas Zhou and J. W. Banks and Gregor Kovačič and David Cai},
journal= {arXiv preprint arXiv:1909.10331},
year = {2021}
}