On a kinetic equation in weak turbulence theory for the nonlinear Schrödinger equation

2016/06/23 by Kierkels, A. H. M.
#35B40 #35C06 #35D30 #45G05 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1606.07290

Abstract

The results from J. Stat. Phys. 159:668-712 & 163:1350-1393, on a quadratic kinetic equation in the analysis of the long time asymptotics of weak turbulence theory for the nonlinear Schrödinger equation, are summarized and placed in context. Additionally, two conjectures on self-similar solutions are presented, and backed with consistency analysis and numerics.

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