☆ 4.4 Article

Soliton dynamics for fractional Schrodinger equations

APPLICABLE ANALYSIS (2014)

Journal

APPLICABLE ANALYSIS

Volume 93, Issue 8, Pages 1702-1729

Publisher

TAYLOR & FRANCIS LTD

DOI: 10.1080/00036811.2013.844793

Keywords

soliton dynamics; fractional Schrodinger equation; ground states

Categories

Mathematics, Applied

Funding

PRIN Critical Point Theory and Perturbative Methods for Nonlinear Differential Equations
FIRB Dispersive equations and Fourier analysis
PRIN Variational and Topological Methods in the Study of Nonlinear Phenomena

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Abstract

We investigate the soliton dynamics for the fractional nonlinear Schrodinger 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.

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