Effective Dynamics of the Nonlinear Schrödinger Equation on Large Domains

We consider the nonlinear Schrödinger (NLS) equation posed on the box [0,L]d with periodic boundary conditions. The aim is to describe the long‐time dynamics by deriving effective equations for it when L is large and the characteristic size ɛ of the data is small. Such questions arise naturally when...

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Veröffentlicht in:	Communications on pure and applied mathematics 2018-07, Vol.71 (7), p.1407-1460
Hauptverfasser:	Buckmaster, T., Germain, P., Hani, Z., Shatah, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical analysis Number theory Schrodinger equation Time Water waves Wave dispersion
Online-Zugang:	Volltext
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