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On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials

We derive new kinetic and a porous medium equations from the nonlinear Schrödinger equation with random potentials. The kinetic equation has a very similar form compared to the four-wave turbulence kinetic equation in the wave turbulence theory. Moreover, we construct a class of self-similar solutio...

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Veröffentlicht in:Entropy (Basel)
Hauptverfasser: Nazarenko, Sergey, Soffer, Avy, Tran, Minh-Binh
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI 2019
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7515352/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.3390/e21090823
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