Journal
APPLICABLE ANALYSIS
Volume 93, Issue 8, Pages 1702-1729Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2013.844793
Keywords
soliton dynamics; fractional Schrodinger equation; ground states
Categories
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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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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