On a kinetic equation in weak turbulence theory for the nonlinear Schr\"odinger equation

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 Schr\"odinger equation, are summarized and placed in context. Additionally, two conjectures on self-similar s...

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Bibliographic Details
Main Author Kierkels, A. H. M
Format Journal Article
LanguageEnglish
Published 23.06.2016
Subjects
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary: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 Schr\"odinger equation, are summarized and placed in context. Additionally, two conjectures on self-similar solutions are presented, and backed with consistency analysis and numerics.
DOI:10.48550/arxiv.1606.07290