13-41 Simone Secchi, Marco Squassina

Soliton dynamics for fractional Schr\"odinger equations (1160K, LaTeX 2e with 3 PS Figures) May 8, 13

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Abstract. We investigate the soliton dynamics for the fractional nonlinear Schr\"odinger 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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