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arXiv · 1307.1873

On discrete rarefaction waves in a nonlinear Schrödinger equation toy model for weak turbulence

Sebastian Herr·Jeremy L. Marzuola
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Abstract

We explore further the rarefaction wave-like solutions recently discussed in work of the second author with J. Colliander, T. Oh and G. Simpson for a model Hamiltonian dynamical system derived by Colliander-Keel-Staffilani-Takaoka-Tao to study frequency cascades in the cubic defocusing nonlinear Schrödinger equation on the torus.

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Sebastian Herr, Jeremy L. Marzuola. 2015-10-27. On discrete rarefaction waves in a nonlinear Schrödinger equation toy model for weak turbulence. https://doi.org/10.1512/iumj.2016.65.5815

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