Improved effective linearization of nonlinear Schrödinger waves by increasing nonlinearity

2019/09/20 by Leisman, Katelyn Plaisier, Zhou, Douglas, Banks, J. W. +2
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.1909.10331

Abstract

From among the waves whose dynamics are governed by the nonlinear Schrödinger (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.

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