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The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field. (English) Zbl 0867.35094

Summary: The main properties of the focusing nonlinear Schrödinger equation for a multidimensional wavepacket envelop are reviewed. The coupling to a mean field or to low frequency acoustic waves stirred by the wavepacket is analyzed.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35B40 Asymptotic behavior of solutions to PDEs
58J70 Invariance and symmetry properties for PDEs on manifolds
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