We investigate the soliton dynamics for the fractional nonlinear Schrödinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.

Soliton dynamics for fractional Schrodinger equations

SQUASSINA, Marco
2014

Abstract

We investigate the soliton dynamics for the fractional nonlinear Schrödinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.
Soliton dynamics; Fractional; Nonlinear Schrodinger
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/618366
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